Controlling one- and two photon transports in one-dimension
|
|
- Nelson Goodman
- 6 years ago
- Views:
Transcription
1 Sept.,2010 Controlling one- and two photon transports in one-dimension Chang-Pu Sun Institute of Theoretical Physics Chinese Academy of Sciences
2 Outline Background and motivations Single photon transport with a controller Two photon transport in waveguide Towards active manipulation for photons 1. L. Zhou, Z. R. Gong, Y.X., Liu, CPS, F. Nori, Phys. Rev. Lett 101, (2008) 2. T. Shi, CPS, Phys. Rev. B 79, (2009) 3. T. Shi, S.H. Fan, CPS, arxiv:
3 Relevant papers Controlling Controlling Quasibound Quasibound States States in in 1D 1D Continuum Continuum Through Through Electromagnetic Electromagnetic Induced Induced Transparency Transparency Mechanism Mechanism Z. Z. R. R. Gong, Gong, H. H. Ian, Ian, Lan Lan Zhou, Zhou, CPS, CPS, Phys. Phys. Rev. Rev. A 78, 78, (2008) (2008) Intrinsic Intrinsic Cavity Cavity QED QED and and Emergent Emergent Quasi-Normal Quasi-Normal Modes Modes for for Single Single Photon Photon H. H. Dong, Dong, Z. Z. R. R. Gong, Gong, H. H. Ian, Ian, L. L. Zhou, Zhou, CPS, CPS, Phys. Phys. Rev. Rev. A 79, 79, (2009) (2009) Quantum Quantum super-cavity super-cavity with with atomic atomic mirrors mirrors Lan Lan Zhou, Zhou, H. H. Dong, Dong, Yu-xi Yu-xi Liu, Liu, CPS, CPS, F.Nori. F.Nori. Phys. Phys. Rev. Rev. A 78, 78, (2008) (2008) Lehmann-Symanzik-Zimmermann Lehmann-Symanzik-Zimmermann Reduction Reduction Approach Approach to to Multi-Photon Multi-Photon Scattering Scattering in in Coupled-Resonator Coupled-Resonator Arrays Arrays T. T. Shi, Shi, CPS, CPS, Phys. Phys. Rev. Rev. B 79, 79, (2009) (2009) 5.Quantum 5.Quantum switch switch for for single-photon single-photon transport transport in in a a coupled coupled superconducting superconducting transmission-line-resonator transmission-line-resonator array array J.Q. J.Q. Liao, Liao, J.F. J.F. Huang, Huang, Y. Y. Liu, Liu, L.M. L.M. Kuang, Kuang, CPS, CPS, Phys. Phys. Rev. Rev. A 80, 80, (2009) (2009) 6.Observable 6.Observable Topological Topological Effects Effects of of Mobius Mobius Molecular Molecular Devices Devices Nan Nan Zhao, Zhao, H. H. Dong, Dong, Shuo Shuo Yang, Yang, CPS, CPS, Phys. Phys. Rev. Rev. B 79, 79, (2009) (2009) Möbius Möbius graphene graphene strip strip as as a a topological topological insulator insulator Z. Z. L. L. Guo, Guo, Z. Z. R. R. Gong, Gong, H. H. Dong, Dong, CPS, CPS, Phys. Phys. Rev. Rev. B 80, 80, (2009) (2009)
4 Quantum information and future quantum devices Quantum information Quantum coherent devices Based on whole wave function rather than state density only: Phase effect dominated Emergent quantum phenomena in artificial structures and meta-materials
5 From electronic to single electron transistor (SET) based on current and voltage from the density of electrons rather than phases of the states Controlling quantum state at the level of single electron
6 Optical switch to single photon transistor (SPT) All optical device in quantum level: Controlling one photon by one photon
7 Why controlling photon by photon is difficult? No direct inter-photon interaction and direct coupling to external E.M field according to QED Photon self interaction must be mediated by some massive particles in higher order processes
8 Single photon based devices Single-photon source Photonic-crystal cavity An ideal triggered source of single photon emits one and only one photon in each pulse Our proposal based on superconducting artificial atoms ( PRB 75, ) distributed-braggreflector (DBR) cavity Single-photon detection Toshiba setup single photon detector
9 Signature of single photon by its statistics g (2) ( τ ) = : I( t) I( t + τ ) : I( t) Δ n> n, g (0)>1, superpoissonian, classical 2 2. Δ n= n, g ( )=1, Poissonian, classical τ Δ n< n, g (0)<g ( )<1, subpoissonian, quantum 1. τ 0 τ A regulated sequence of optical pulses that contain one-and-only-one photon
10 Single photon transistor (SPT) proposal D. E. Chang et al, Nature Physics, 3,807(2007) With electromagnetically induced transparency (EIT) mechanism Model : Linear waveguide coupled to a local two-level system The setup was based on the theory by a series papers in S.H. Fan, et. al (Stanford), e.g., J. T. Shen and S. Fan, Phys. Rev. Lett. 95, (2005); 98, (2007); ibid. 98, (2007);Opt. Lett. 30, 2001 (2005)
11 Our questions about this SPT Setup One shot control : one photon by one photon? No, nly strong light controls the EIT Wide band or narrow band? Narrow one due to the single resonate point Localize photon for quantum memory? No, this localization need bound state of Photon! The linear dispersion that could not trap photon Dirac Type particle,klein paradox
12 Our questions about this SPT Setup Evanesce wave coupling for Photonic crystal defect cavity
13 Controlling photons with local atoms e g Bethe Ansatz Discrete Coordinate Scattering Equation Quantum Field Theory Quantum Devices Photon transistor\switch Quantum storage Photonic logic device Physics: Lee-Fano-Aderson model Quasi-Normal Mode Quasi-Bound State Feshbach Resonance Physical Implementation Circuit QED with Superconducting qubit Photonic Crystal Defect cavity Coupled Nanomechanical resonators
14 Tight-binding boson model H ( + a a ) + 1 h c =... ξ +.. c j j j Non-Linear dispersion sin k k Higher E Ωk = ω 2ξ 2ξcosk k k π / π / π Low E Simulating waveguide in high energy limit cos k 1 k 2 / 2
15 CRA Based single photon transistor (SPT) L. Zhou, Z. R. Gong, Y.X. Liu, C. P. Sun, F. Nori, Phys. Rev. Lett 101, (2008) Local controller Circuit QED setup e g Фx H c j a j a j a j a j 1 j h. c. H I e e J a 0 g e e g a 0,
16 Discrete coordinate scattering equation Stationary eigen-state + E = u ( j) a 0g + u 0e H k k j ke j Ω = E Ω k k k Two channel scattering equation Single-photon amplitude Vacuum state of the cavity field Excited state amplitude ( Ek ω) uk ( j) = ξ[ uk ( j + 1) + uk ( j 1)] + Jukeδ j0 ( E Ω) u = Ju (0) k ke k
17 Resonate potential in effective scattering equation ( Ω ω V( E )) u ( j) = ξ u ( j+ 1) + u ( j 1) k k k k k Resonance Potential V( E ) k = J E k 2 δ j0 Ω Energy dependent
18 Working mechanism of SPT E k < Ω E k > Ω E k = Ω
19 Solution 1: 2 bound photon states e g ikx Ae, x > 0 u() j = ikx Ae, x < 0 E 2 ik g ω + 2Je = 0 E Ω E = ω 2Jcosk 2J E B1 ω + 2J E E 2J g 2 E 2 4J 2 E E < ω 2J g 2 E 2 4J 2 ω 2J E B2 ω 2J
20 Solution 2: single photon scattering For j<0 u Lk ikj ikj ( j) = e + re For j>0 Rk ikj ( j) se u = The boundary condition at j=0 r = 2 J 2iξ sin k J 2 ( ω Ω 2ξ cos k)
21 Breit-Wigner and Fano line shape high energy limit Phase Diagram of reflection Low energy limit R( Δ) = J [ 4ξ ( ω Ω Δ) ] Δ + J Δ = ω Ω 2ξ cos k 4
22 Super-cavity: analog of super-lattice Super-cavity: e g e g Zhou, Dong, Liu, Sun, Nori Phys. Rev. A 78, (2008)
23 Wide-Band Scattering of Single Photon Yue Chang, Z. R. Gong, C. P. Sun. arxiv:
24 Two photon transport in CRA waveguide Two photon effect: The very quantum nature of light T. Shi and C. P. Sun, Phys. Rev. B 79, (2009); arxiv:
25 Tow photons in one dimension Anti bunching single photon case two photon case Photon blockade T. Shi, CPS, arxiv: (2009)
26 Signature of photon blockade via statistics g (2) ( τ ) 1 0 τ 2 1.g (0)>1, No Blockade 2 2.g ( )=1, No Blocade τ g ( )<g (0)<1, Blockade τ Photon bunching Photon antibunching Photon antibunching A two photon interference effect, tends to enhance the single photon effect for single photon counting or source
27 Photon Bunching
28 Photon Anti-Bunching g (2) ( τ ) = : I( t) I( t + τ ) : I( t) τ
29 Coulomb (electron) blockade Coulomb interaction prevents electron from tunneling to Island 1. Non-linear potential 2. For certain gate voltage H = 2 Q 2C H = ( Q e) 2C Δ E = = ( Q e) Q e( Q e/2) 2C 2C C Δ E < 0 ( tunneling) Δ E > 0 ( no tunneling)
30 Photonic analog of Coulomb blockade effect Strong repulsive interaction of photons is induced by nonlinear medium effectively the excitation of medium by a first photon can block the transport of a second photon. H= ξaa+ kaa ( ) 2 nonlinear medium Imamoglu, A.,et al. Rev. Lett. 79, 1467 (1997).
31 Mechanism of photon blockade K. M. Birnbaum et al., Nature (London) 436, 87 (2005)) (0) λ 2 + 2g (0) λ2 1 λ± ( n) =Ω+ ( n ) ωc ± ( Ω ωc) + 4ng ω c g (0) λ 1 + (0) λ1 λ () n = α () n n, e + β ( n n+ 1, g ± ± ± ω c ω g c 0 c g Spectrum of JC model Δ E = λ (2) λ (1) = ω ( Ω ω) + 16 g + ( Ω ω) + 4g c + = ω 2 g ( resonance) c
32 Anti-bouncing means photon blockade? K. M. Birnbaum et al., Nature (London) 436, 87 (2005)) (0) λ 2 + 2g (0) λ2 ω c ω c ω c ω c g c ΔE ω g (0) λ 1 + (0) λ1 0 c g
33 Mechanism and Experiment of photon blockade K. M. Birnbaum et al., Nature (London) 436, 87 (2005)) D 1 e U g PBS B S D 2
34 Photon blockade due to anharmonicity of energy levels Transmission line coupled to nonlinear Nano-mechanical resonator via quantum transducer setup [CPS, L. F. Wei, Y Liu, F. Nori Phys. Rev. A 73, (2006)] Y.D. Wang, CPS C. Bruder, in preparation, 2010
35 Theoretical approaches for two photon 1.Quantum trajectory approach: L. Tian and H. J. Carmichael, Phys. Rev. A 46, 6801 (1992). 2. Numeircal Master equation approach e.g., R. J. Brecha et al., Phys. Rev. A 59, 2392 (1999). 3.Mean field approach: K. Srinivasan and O. Painter, Phys. Rev. A 75, (2007). 4. Exact solution with Bethe Ansatz and QFT J. T. Shen, S. Fan, Phys. Rev. Lett. 98, (2007); L. Zhou et al.,phys. Rev. Lett. 101, (2008); H. Dong et al., Phys. Rev. A 76, (2009); T. Shi and C. P. Sun, Phys. Rev. B 79, (2009); arxiv:
36 Duality of two configurations for two photon e g e g Side-coupling case Direct-coupling case Reflection of photons in the side-coupling case = Transmission of photons in the direct-coupling case H W k k a k a k H I V k a k a H. c. / L H JC c a a e e g a g e a e g, J. T. Shen and S. Fan, Phys. Rev. A 79, (2009).
37 Lehmann-Symanzik-Zimmermann Reduction in QFT Two -photon effect T. Shi, CPS, Phys. Rev. B 79, (2009) S = it + pp; kk pp; k, k S S + S S pk p k p k pk T ppkk = ( E α Ω) δp 1+ p2, E V g [( E 2 Ω)( E 2 α) 4 g ]. π ( E λ ) ( k λ )( p λ ) 2s i 1s i 1s s=± s=± i= 1,2 S pk = t, kδ kp
38 QFT Calculations 1 X = S X = S k, k out in E = k + k X out t out r out rt out t out dx 1 dx 2 t 2 x 1, x 2 a R x 1 a R x 2 0 g r out dx 1 dx 2 r 2 x 1, x 2 a L x 1 a L x 2 0 g rt out dx 1 dx 2 rt 2 x 1, x 2 a L x 1 a R x 2 0 g T. Shi, Sanhui Fan, C. P. Sun, Phys. arxiv (2010).
39 QFT Calculations 2 t 2 x 1, x e iex c t k1 t k2 cos Δ k x F, x, 4 4 E V g s=± se ( 2 λ1s)exp[ i( 2 λ1, s)] x F( λ, x) = ; 4( λ λ ) [( E λ ) ( k λ )] 1+ 1 s=± 2s i= 1,2 i 1s G (2) ( τ) = S a + ( x) a + ( x+ τ) a ( x) a ( x+ τ) S out S S S S out For S=L,R, (2) 2 g ( τ) = t2( x, x+ τ) / D T. Shi, Sanhui Fan, C. P. Sun, Phys. arxiv (2010).
40 Strong coupling regime : g V 2 R=Reflection T=Transmission T 2 ( a ) Δ k p g H2L H0L Δ 1 ( b) E 2 R T Eê2 E λ 2 + = λ1 = 1 ωa = ω = 10 g H2L HτL ( c) 4 R T R T τ anti-bunching=blockade g H2L HτL 1 8 ( d ) τ g (2) ( τ ) 1 large bunching
41 Weak coupling regime : g V 2 photon blockade effect vanishes T 2 ( a ) Δ k Δ p g H2L H0L Δ ( b ) Eê2 g H2L HτL ( c) τ g H2L HτL ( d ) τ
42 Reflected anti-bouncing photons reflection 2 nd order coherence T. Shi, CPS, Phys. Rev. B 79, (2009);2010,in Arxive
43 Summary for two photon The two photon transports in waveguide coupled to a cavity embedded a TLS : Exact solution by LSZ reduction. Photon blockade effect in strong coupling regime. Vanishing of Photon blockade effect in weak coupling regime. Analytic results agree with observations in recent experiment
44 Towards active manipulation for photon via Quantum Zeno dynamics Photonic Feshbach Resonance Induced gauge field with Mobius topology
45 Active control via quantum Zeno dynamics High frequency modulation a A t a cos t Band structure and bound states in frequency Domain Ω HI = [ ωa +Ω cos( νt)] e e + G J0 e g + h.c ν L.Zhou,S. Yang,Y-x Liu,C. P. Sun, F. Nori PHYSICAL REVIEW A 80,
46 Dynamic Quantum Zeno Effect ( γ ) exp ixsin = J ( x)exp( inγ ) n n Ω HI = Gexp[ i( Δ sin νt] e g + h.c., ν + Ω i( nν Δ) t = G Jn e e g + h.c., n= ν Ω HI G J0 e g + h.c., ν Decoupling at the zeros of some Bessel function!! Ω / ν = , ,...
47 Numerical : Quantum Zeno Switch for SPT Photon Delocalization from bound state due to Zeno effect
48 Photonic analog of Feshbach Resonance Predicted in Nuclear physics experiment with cold atoms both in MIT!
49 Wave Equation of Single Photon in H-type E a u a j J a u a j 1 u a j 1 g au a 0 g b u b 0 E E b u b j J b u b j 1 u b j 1 g au a 0 g b u b 0 E g a j,0 g b j,0 sexp( ikj ), j> 0 ua () j = exp( ik j) + rexp( ik j), j < 0 Bound state u b j B exp ikj, j 0 B exp ikj, j 0 s 1 B g a g b J b J a sin k sin k.
50 Photonic Feshbach Resonance E a1 A scattering state in chain a ω + 2J a a and a bound state chain b ω a E b1 ω 2J a s g g BE Ω a b. E a2 g = + 2 = 0 E Ω 2 b a ik b E ω b J b e ω + 2J b ω 2J b ω b b b S=0, Total Reflection E b2
51 Numerical with FDTD FDTD = Finite- difference time-domain Without bound state in another chain With bound state forming in another chain Coupled cavity arrays with defect in photonic crystal
52 How to have more controllable parameters for photon According quantum electrodynamics (QED), no direct interaction exist between two photons, thus magnetic or electric fields could not control the photon straightforwardly. In this sense, photon is very different from electron Motivated by AB effect, we use the non-trivial spatial topology to induced an equivalent field for photon
53 Aharanov Bohm effect in a mesoscopic ring i + ϕ Ψ Ψ ( ϕ ) = E Ψ ( ϕ ) ( ϕ) = Ψ( ϕ + 2π ) φ =1 ϕ 2 Periodic, single-valued Gauge transf. Ψ ϕ / 2 ( ϕ) = e i ψ ( ϕ) How about a more complicated topologically non-trivial boundary?? 2 ϕ 2 ψ ( ϕ ) = E ψ ( ϕ ) ( ϕ) = ψ ( ϕ + π ) ψ 2 anti-periodic, multi-valued
54 Tight binding boson model with Mobius topology Mobius boundary condition:, N j N j j j j j a A b V V ε ε = = M = b a b a N N j j j j c a d b = Cut- off of upper band in transmission spectrum c-ring d-ring
55 Physical Realization of Mobius systems Boson: heating a bundle of photonic crystal fibers been Fermion: synthesizing aromatic hydrocarbons with twisted Pi-electrons J. Am. Chem. Soc. (1982) Tetrahedron Lett. (1964) Nature (2002) Chemical Reviews (2006)
56 Non-Abelian induced gauge field in continuous limit φ = 0 ( + 1) 4 = σ z In the pseudo-spin representation The Mobius boundary condition induce an effective magnetic flux in the conduction band. D. Loss, P. Goldbart, A. V. Balatsky, Phys. Rev. Lett. 65, 1655 (1990)
57 Suppression of conduction band transmission Conclusions also valid to the fermion system
58 Acknowledgements Franco Nori (Riken & Univ. Michigan ), Shan-Hui Fan (Univ. Stanford ) Lan Zhou (HNNU), Yu-xi Liu (Tsinghua Univ) [ my previous Post docs] Students: Hui Dong, Tao Shi, Dazi Xu, Yue Chang, Jin-Feng Huan Post Doc Dr. Qing Ai + some regular visitors
59
From optical graphene to topological insulator
From optical graphene to topological insulator Xiangdong Zhang Beijing Institute of Technology (BIT), China zhangxd@bit.edu.cn Collaborator: Wei Zhong (PhD student, BNU) Outline Background: From solid
More informationQuantum Confinement in Graphene
Quantum Confinement in Graphene from quasi-localization to chaotic billards MMM dominikus kölbl 13.10.08 1 / 27 Outline some facts about graphene quasibound states in graphene numerical calculation of
More informationThe Impact of the Pulse Phase Deviation on Probability of the Fock States Considering the Dissipation
Armenian Journal of Physics, 207, vol 0, issue, pp 64-68 The Impact of the Pulse Phase Deviation on Probability of the Fock States Considering the Dissipation GYuKryuchkyan, HS Karayan, AGChibukhchyan
More informationDipole-coupling a single-electron double quantum dot to a microwave resonator
Dipole-coupling a single-electron double quantum dot to a microwave resonator 200 µm J. Basset, D.-D. Jarausch, A. Stockklauser, T. Frey, C. Reichl, W. Wegscheider, T. Ihn, K. Ensslin and A. Wallraff Quantum
More informationDynamical Casimir effect in superconducting circuits
Dynamical Casimir effect in superconducting circuits Dynamical Casimir effect in a superconducting coplanar waveguide Phys. Rev. Lett. 103, 147003 (2009) Dynamical Casimir effect in superconducting microwave
More informationObservable topological effects in molecular devices with Möbius topology
Observable topological effects in molecular devices with Möbius topology Nan Zhao, 1, H. Dong, Shuo Yang, and C. P. Sun 1 Department of Physics, Tsinghua University, Beijing 100084, China Institute of
More informationSub-wavelength electromagnetic structures
Sub-wavelength electromagnetic structures Shanhui Fan, Z. Ruan, L. Verselegers, P. Catrysse, Z. Yu, J. Shin, J. T. Shen, G. Veronis Ginzton Laboratory, Stanford University http://www.stanford.edu/group/fan
More informationThe Physics of Nanoelectronics
The Physics of Nanoelectronics Transport and Fluctuation Phenomena at Low Temperatures Tero T. Heikkilä Low Temperature Laboratory, Aalto University, Finland OXFORD UNIVERSITY PRESS Contents List of symbols
More informationQuantum computation with superconducting qubits
Quantum computation with superconducting qubits Project for course: Quantum Information Ognjen Malkoc June 10, 2013 1 Introduction 2 Josephson junction 3 Superconducting qubits 4 Circuit and Cavity QED
More informationDesign and realization of exotic quantum phases in atomic gases
Design and realization of exotic quantum phases in atomic gases H.P. Büchler and P. Zoller Theoretische Physik, Universität Innsbruck, Austria Institut für Quantenoptik und Quanteninformation der Österreichischen
More informationControlling the Interaction of Light and Matter...
Control and Measurement of Multiple Qubits in Circuit Quantum Electrodynamics Andreas Wallraff (ETH Zurich) www.qudev.ethz.ch M. Baur, D. Bozyigit, R. Bianchetti, C. Eichler, S. Filipp, J. Fink, T. Frey,
More informationQuantum Computing with neutral atoms and artificial ions
Quantum Computing with neutral atoms and artificial ions NIST, Gaithersburg: Carl Williams Paul Julienne T. C. Quantum Optics Group, Innsbruck: Peter Zoller Andrew Daley Uwe Dorner Peter Fedichev Peter
More informationExperimental Demonstration of Spinor Slow Light
Experimental Demonstration of Spinor Slow Light Ite A. Yu Department of Physics Frontier Research Center on Fundamental & Applied Sciences of Matters National Tsing Hua University Taiwan Motivation Quantum
More informationQuantum Memory with Atomic Ensembles. Yong-Fan Chen Physics Department, Cheng Kung University
Quantum Memory with Atomic Ensembles Yong-Fan Chen Physics Department, Cheng Kung University Outline Laser cooling & trapping Electromagnetically Induced Transparency (EIT) Slow light & Stopped light Manipulating
More informationDoing Atomic Physics with Electrical Circuits: Strong Coupling Cavity QED
Doing Atomic Physics with Electrical Circuits: Strong Coupling Cavity QED Ren-Shou Huang, Alexandre Blais, Andreas Wallraff, David Schuster, Sameer Kumar, Luigi Frunzio, Hannes Majer, Steven Girvin, Robert
More informationExperimental Quantum Computing: A technology overview
Experimental Quantum Computing: A technology overview Dr. Suzanne Gildert Condensed Matter Physics Research (Quantum Devices Group) University of Birmingham, UK 15/02/10 Models of quantum computation Implementations
More informationThree-terminal quantum-dot thermoelectrics
Three-terminal quantum-dot thermoelectrics Björn Sothmann Université de Genève Collaborators: R. Sánchez, A. N. Jordan, M. Büttiker 5.11.2013 Outline Introduction Quantum dots and Coulomb blockade Quantum
More informationTowards new states of matter with atoms and photons
Towards new states of matter with atoms and photons Jonas Larson Stockholm University and Universität zu Köln Aarhus Cold atoms and beyond 26/6-2014 Motivation Optical lattices + control quantum simulators.
More informationIntrinsic cavity QED and emergent quasinormal modes for a single photon
PHYSICAL REVIEW A 79, 063847 2009 Intrinsic cavity QED and emergent quasinormal modes for a single photon H. Dong ( 董辉, 1 Z. R. Gong ( 龚志瑞, 1 H. Ian ( 殷灏, 1 Lan Zhou ( 周兰, 2,3 and C. P. Sun ( 孙昌璞 1, *
More informationQuantum Computation with Neutral Atoms Lectures 14-15
Quantum Computation with Neutral Atoms Lectures 14-15 15 Marianna Safronova Department of Physics and Astronomy Back to the real world: What do we need to build a quantum computer? Qubits which retain
More informationManipulation of Majorana fermions via single charge control
Manipulation of Majorana fermions via single charge control Karsten Flensberg Niels Bohr Institute University of Copenhagen Superconducting hybrids: from conventional to exotic, Villard de Lans, France,
More informationSlow and stored light using Rydberg atoms
Slow and stored light using Rydberg atoms Julius Ruseckas Institute of Theoretical Physics and Astronomy, Vilnius University, Lithuania April 28, 2016 Julius Ruseckas (Lithuania) Rydberg slow light April
More informationQuantum Many-Body Phenomena in Arrays of Coupled Cavities
Quantum Many-Body Phenomena in Arrays of Coupled Cavities Michael J. Hartmann Physik Department, Technische Universität München Cambridge-ITAP Workshop, Marmaris, September 2009 A Paradigm Many-Body Hamiltonian:
More informationDistributing Quantum Information with Microwave Resonators in Circuit QED
Distributing Quantum Information with Microwave Resonators in Circuit QED M. Baur, A. Fedorov, L. Steffen (Quantum Computation) J. Fink, A. F. van Loo (Collective Interactions) T. Thiele, S. Hogan (Hybrid
More informationInterference: from quantum mechanics to nanotechnology
Interference: from quantum mechanics to nanotechnology Andrea Donarini L. de Broglie P. M. A. Dirac A photon interferes only with itself Double slit experiment: (London, 1801) T. Young Phil. Trans. R.
More informationQuantum Physics in the Nanoworld
Hans Lüth Quantum Physics in the Nanoworld Schrödinger's Cat and the Dwarfs 4) Springer Contents 1 Introduction 1 1.1 General and Historical Remarks 1 1.2 Importance for Science and Technology 3 1.3 Philosophical
More informationDesign of a Multi-Mode Interference Crossing Structure for Three Periodic Dielectric Waveguides
Progress In Electromagnetics Research Letters, Vol. 75, 47 52, 2018 Design of a Multi-Mode Interference Crossing Structure for Three Periodic Dielectric Waveguides Haibin Chen 1, Zhongjiao He 2,andWeiWang
More informationParity-Protected Josephson Qubits
Parity-Protected Josephson Qubits Matthew Bell 1,2, Wenyuan Zhang 1, Lev Ioffe 1,3, and Michael Gershenson 1 1 Department of Physics and Astronomy, Rutgers University, New Jersey 2 Department of Electrical
More informationAnharmonic Confinement Induced Resonances: Theory vs Experiment
Anharmonic Confinement Induced Resonances: Theory vs Experiment Peter D. Drummond, Shi-Guo Peng, Hui Hu, Xia-Ji Liu CAOUS Centre, Swinburne University of Technology *Tsinghua University, Beijing IQEC Sydney
More informationFermi polaron-polaritons in MoSe 2
Fermi polaron-polaritons in MoSe 2 Meinrad Sidler, Patrick Back, Ovidiu Cotlet, Ajit Srivastava, Thomas Fink, Martin Kroner, Eugene Demler, Atac Imamoglu Quantum impurity problem Nonperturbative interaction
More informationCavity QED: Quantum Control with Single Atoms and Single Photons. Scott Parkins 17 April 2008
Cavity QED: Quantum Control with Single Atoms and Single Photons Scott Parkins 17 April 2008 Outline Quantum networks Cavity QED - Strong coupling cavity QED - Network operations enabled by cavity QED
More informationSingle Photon Nonlinear Optics with Cavity enhanced Quantum Electrodynamics
Single Photon Nonlinear Optics with Cavity enhanced Quantum Electrodynamics Xiaozhen Xu Optical Science and Engineering University of New Mexico Albuquerque, NM 87131 xzxu@unm.edu We consider the nonlinearity
More informationPart 1: Fano resonances Part 2: Airy beams Part 3: Parity-time symmetric systems
Lecture 3 Part 1: Fano resonances Part 2: Airy beams Part 3: Parity-time symmetric systems Yuri S. Kivshar Nonlinear Physics Centre, Australian National University, Canberra, Australia http://wwwrsphysse.anu.edu.au/nonlinear/
More informationQUANTUM TECHNOLOGIES: THE SECOND QUANTUM REVOLUTION* Jonathan P. Dowling
QUANTUM TECHNOLOGIES: THE SECOND QUANTUM REVOLUTION* Jonathan P. Dowling Quantum Science & Technologies Group Hearne Institute for Theoretical Physics Louisiana State University http://quantum.phys.lsu.edu
More informationSplitting of a Cooper pair by a pair of Majorana bound states
Chapter 7 Splitting of a Cooper pair by a pair of Majorana bound states 7.1 Introduction Majorana bound states are coherent superpositions of electron and hole excitations of zero energy, trapped in the
More informationEntangled Photon Generation via Biexciton in a Thin Film
Entangled Photon Generation via Biexciton in a Thin Film Hiroshi Ajiki Tokyo Denki University 24,Apr. 2017 Emerging Topics in Optics (IMA, Univ. Minnesota) Entangled Photon Generation Two-photon cascade
More informationA tutorial on meta-materials and THz technology
p.1/49 A tutorial on meta-materials and THz technology Thomas Feurer thomas.feurer@iap.unibe.ch Institute of Applied Physics Sidlerstr. 5, 3012 Bern Switzerland p.2/49 Outline Meta-materials Super-lenses
More informationCircuit QED with electrons on helium:
Circuit QED with electrons on helium: What s the sound of one electron clapping? David Schuster Yale (soon to be at U. of Chicago) Yale: Andreas Fragner Rob Schoelkopf Princeton: Steve Lyon Michigan State:
More informationChapter 5 Nanomanipulation. Chapter 5 Nanomanipulation. 5.1: With a nanotube. Cutting a nanotube. Moving a nanotube
Objective: learn about nano-manipulation techniques with a STM or an AFM. 5.1: With a nanotube Moving a nanotube Cutting a nanotube Images at large distance At small distance : push the NT Voltage pulse
More information10.5 Circuit quantum electrodynamics
AS-Chap. 10-1 10.5 Circuit quantum electrodynamics AS-Chap. 10-2 Analogy to quantum optics Superconducting quantum circuits (SQC) Nonlinear circuits Qubits, multilevel systems Linear circuits Waveguides,
More informationJQI summer school. Aug 12, 2013 Mohammad Hafezi
JQI summer school Aug 12, 2013 Mohammad Hafezi Electromagnetically induced transparency (EIT) (classical and quantum picture) Optomechanics: Optomechanically induced transparency (OMIT) Ask questions!
More informationSuperconducting Qubits Lecture 4
Superconducting Qubits Lecture 4 Non-Resonant Coupling for Qubit Readout A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, PRA 69, 062320 (2004) Measurement Technique Dispersive Shift
More informationQuantum optics and optomechanics
Quantum optics and optomechanics 740nm optomechanical crystals LIGO mirror AMO: Alligator nanophotonic waveguide quantum electro-mechanics Oskar Painter, Jeff Kimble, Keith Schwab, Rana Adhikari, Yanbei
More informationMESOSCOPIC QUANTUM OPTICS
MESOSCOPIC QUANTUM OPTICS by Yoshihisa Yamamoto Ata Imamoglu A Wiley-Interscience Publication JOHN WILEY & SONS, INC. New York Chichester Weinheim Brisbane Toronto Singapore Preface xi 1 Basic Concepts
More informationIntroduction to Molecular Electronics. Lecture 1: Basic concepts
Introduction to Molecular Electronics Lecture 1: Basic concepts Conductive organic molecules Plastic can indeed, under certain circumstances, be made to behave very like a metal - a discovery for which
More informationNanomaterials and their Optical Applications
Nanomaterials and their Optical Applications Winter Semester 2012 Lecture 08 rachel.grange@uni-jena.de http://www.iap.uni-jena.de/multiphoton Outline: Photonic crystals 2 1. Photonic crystals vs electronic
More informationQuantum superpositions and correlations in coupled atomic-molecular BECs
Quantum superpositions and correlations in coupled atomic-molecular BECs Karén Kheruntsyan and Peter Drummond Department of Physics, University of Queensland, Brisbane, AUSTRALIA Quantum superpositions
More informationLei Zhou Physics Department, Fudan University, Shanghai , China
Tunable Meta-surfaces for Active Manipulations of Electromagnetic Waves Lei Zhou Physics Department, Fudan University, Shanghai 200433, China phzhou@fudan.edu.cn Acknowledgements Key collaborators Yuanbo
More informationQuantum Simulation with Rydberg Atoms
Hendrik Weimer Institute for Theoretical Physics, Leibniz University Hannover Blaubeuren, 23 July 2014 Outline Dissipative quantum state engineering Rydberg atoms Mesoscopic Rydberg gates A Rydberg Quantum
More informationQuantum Optics with Mesoscopic Systems II
Quantum Optics with Mesoscopic Systems II A. Imamoglu Quantum Photonics Group, Department of Physics ETH-Zürich Outline 1) Cavity-QED with a single quantum dot 2) Optical pumping of quantum dot spins 3)
More informationBCS Pairing Dynamics. ShengQuan Zhou. Dec.10, 2006, Physics Department, University of Illinois
BCS Pairing Dynamics 1 ShengQuan Zhou Dec.10, 2006, Physics Department, University of Illinois Abstract. Experimental control over inter-atomic interactions by adjusting external parameters is discussed.
More informationDispersive Readout, Rabi- and Ramsey-Measurements for Superconducting Qubits
Dispersive Readout, Rabi- and Ramsey-Measurements for Superconducting Qubits QIP II (FS 2018) Student presentation by Can Knaut Can Knaut 12.03.2018 1 Agenda I. Cavity Quantum Electrodynamics and the Jaynes
More informationCIRCUIT QUANTUM ELECTRODYNAMICS WITH ELECTRONS ON HELIUM
CIRCUIT QUANTUM ELECTRODYNAMICS WITH ELECTRONS ON HELIUM David Schuster Assistant Professor University of Chicago Chicago Ge Yang Bing Li Michael Geracie Yale Andreas Fragner Rob Schoelkopf Useful cryogenics
More informationCircuit Quantum Electrodynamics. Mark David Jenkins Martes cúantico, February 25th, 2014
Circuit Quantum Electrodynamics Mark David Jenkins Martes cúantico, February 25th, 2014 Introduction Theory details Strong coupling experiment Cavity quantum electrodynamics for superconducting electrical
More informationDetecting and using Majorana fermions in superconductors
Detecting and using Majorana fermions in superconductors Anton Akhmerov with Carlo Beenakker, Jan Dahlhaus, Fabian Hassler, and Michael Wimmer New J. Phys. 13, 053016 (2011) and arxiv:1105.0315 Superconductor
More informationTheory for investigating the dynamical Casimir effect in superconducting circuits
Theory for investigating the dynamical Casimir effect in superconducting circuits Göran Johansson Chalmers University of Technology Gothenburg, Sweden International Workshop on Dynamical Casimir Effect
More informationAnalysis of Photonic Band Structure in 1-D Photonic Crystal using PWE and FDTD Method
P P IJISET - International Journal of Innovative Science, Engineering & Technology, Vol. Issue 8, August 05. Analysis of Photonic Band Structure in -D Photonic Crystal using PWE and FDTD Method Pooja ChhokerP
More informationVIC Effect and Phase-Dependent Optical Properties of Five-Level K-Type Atoms Interacting with Coherent Laser Fields
Commun. Theor. Phys. (Beijing China) 50 (2008) pp. 741 748 c Chinese Physical Society Vol. 50 No. 3 September 15 2008 VIC Effect and Phase-Dependent Optical Properties of Five-Level K-Type Atoms Interacting
More informationSupercondcting Qubits
Supercondcting Qubits Patricia Thrasher University of Washington, Seattle, Washington 98195 Superconducting qubits are electrical circuits based on the Josephson tunnel junctions and have the ability to
More informationPhase Sensitive Photonic Flash
Commun. Theor. Phys. 70 (2018) 215 219 Vol. 70, No. 2, August 1, 2018 Phase Sensitive Photonic Flash Xin-Yun Cui ( 崔馨匀 ), Zhi-Hai Wang ( 王治海 ), and Jin-Hui Wu ( 吴金辉 ) Center for Quantum Sciences and School
More informationSUPPLEMENTARY FIGURES
SUPPLEMENTARY FIGURES Supplementary Figure 1. Projected band structures for different coupling strengths. (a) The non-dispersive quasi-energy diagrams and (b) projected band structures for constant coupling
More informationCavity QED with quantum dots in microcavities
Cavity QED with quantum dots in microcavities Martin van Exter, Morten Bakker, Thomas Ruytenberg, Wolfgang Löffler, Dirk Bouwmeester (Leiden) Ajit Barve, Larry Coldren (UCSB) Motivation and Applications
More informationsynthetic condensed matter systems
Ramsey interference as a probe of synthetic condensed matter systems Takuya Kitagawa (Harvard) DimaAbanin i (Harvard) Mikhael Knap (TU Graz/Harvard) Eugene Demler (Harvard) Supported by NSF, DARPA OLE,
More information(Noise) correlations in optical lattices
(Noise) correlations in optical lattices Dries van Oosten WA QUANTUM http://www.quantum.physik.uni mainz.de/bec The Teams The Fermions: Christoph Clausen Thorsten Best Ulrich Schneider Sebastian Will Lucia
More informationStrongly Correlated Systems of Cold Atoms Detection of many-body quantum phases by measuring correlation functions
Strongly Correlated Systems of Cold Atoms Detection of many-body quantum phases by measuring correlation functions Anatoli Polkovnikov Boston University Ehud Altman Weizmann Vladimir Gritsev Harvard Mikhail
More informationSTM spectroscopy (STS)
STM spectroscopy (STS) di dv 4 e ( E ev, r) ( E ) M S F T F Basic concepts of STS. With the feedback circuit open the variation of the tunneling current due to the application of a small oscillating voltage
More informationPhotonic zitterbewegung and its interpretation*
Photonic zitterbewegung and its interpretation* Zhi-Yong Wang, Cai-Dong Xiong, Qi Qiu School of Optoelectronic Information, University of Electronic Science and Technology of China, Chengdu 654, CHINA
More informationSingle Photon Generation & Application
Single Photon Generation & Application Photon Pair Generation: Parametric down conversion is a non-linear process, where a wave impinging on a nonlinear crystal creates two new light beams obeying energy
More informationChiral Majorana fermion from quantum anomalous Hall plateau transition
Chiral Majorana fermion from quantum anomalous Hall plateau transition Phys. Rev. B, 2015 王靖复旦大学物理系 wjingphys@fudan.edu.cn Science, 2017 1 Acknowledgements Stanford Biao Lian Quan Zhou Xiao-Liang Qi Shou-Cheng
More informationQUANTUM- CLASSICAL ANALOGIES
D. Dragoman M. Dragoman QUANTUM- CLASSICAL ANALOGIES With 78 Figures ^Ü Springer 1 Introduction 1 2 Analogies Between Ballistic Electrons and Electromagnetic Waves 9 2.1 Analog Parameters for Ballistic
More informationSupplementary information for Quantum delayed-choice experiment with a beam splitter in a quantum superposition
Supplementary information for Quantum delayed-choice experiment with a beam splitter in a quantum superposition Shi-Biao Zheng 1, You-Peng Zhong 2, Kai Xu 2, Qi-Jue Wang 2, H. Wang 2, Li-Tuo Shen 1, Chui-Ping
More informationIntroduction to Circuit QED
Introduction to Circuit QED Michael Goerz ARL Quantum Seminar November 10, 2015 Michael Goerz Intro to cqed 1 / 20 Jaynes-Cummings model g κ γ [from Schuster. Phd Thesis. Yale (2007)] Jaynes-Cumming Hamiltonian
More informationNanomaterials and their Optical Applications
Nanomaterials and their Optical Applications Winter Semester 2013 Lecture 02 rachel.grange@uni-jena.de http://www.iap.uni-jena.de/multiphoton Lecture 2: outline 2 Introduction to Nanophotonics Theoretical
More informationEffect of nonlinearity on wave scattering and localization. Yuri S. Kivshar
Effect of nonlinearity on wave scattering and localization Yuri S. Kivshar Nonlinear Physics Centre, Australian National University, Canberra, Australia St. Petersburg University of Information Technologies,
More informationQuantum Computation 650 Spring 2009 Lectures The World of Quantum Information. Quantum Information: fundamental principles
Quantum Computation 650 Spring 2009 Lectures 1-21 The World of Quantum Information Marianna Safronova Department of Physics and Astronomy February 10, 2009 Outline Quantum Information: fundamental principles
More informationQuantum Information Processing with Electrons?
Quantum Information Processing with 10 10 Electrons? René Stock IQIS Seminar, October 2005 People: Barry Sanders Peter Marlin Jeremie Choquette Motivation Quantum information processing realiations Ions
More informationSpin Filtering: how to write and read quantum information on mobile qubits
Spin Filtering: how to write and read quantum information on mobile qubits Amnon Aharony Physics Department and Ilse Katz Nano institute Ora Entin-Wohlman (BGU), Guy Cohen (BGU) Yasuhiro Tokura (NTT) Shingo
More informationEffects of spin-orbit coupling on the BKT transition and the vortexantivortex structure in 2D Fermi Gases
Effects of spin-orbit coupling on the BKT transition and the vortexantivortex structure in D Fermi Gases Carlos A. R. Sa de Melo Georgia Institute of Technology QMath13 Mathematical Results in Quantum
More informationQuantum Optics in Wavelength Scale Structures
Quantum Optics in Wavelength Scale Structures SFB Summer School Blaubeuren July 2012 J. G. Rarity University of Bristol john.rarity@bristol.ac.uk Confining light: periodic dielectric structures Photonic
More informationQuantum computation and quantum information
Quantum computation and quantum information Chapter 7 - Physical Realizations - Part 2 First: sign up for the lab! do hand-ins and project! Ch. 7 Physical Realizations Deviate from the book 2 lectures,
More informationMesoscopic physics: From low-energy nuclear [1] to relativistic [2] high-energy analogies
Mesoscopic physics: From low-energy nuclear [1] to relativistic [2] high-energy analogies Constantine Yannouleas and Uzi Landman School of Physics, Georgia Institute of Technology [1] Ch. 4 in Metal Clusters,
More informationCooperative Phenomena
Cooperative Phenomena Frankfurt am Main Kaiserslautern Mainz B1, B2, B4, B6, B13N A7, A9, A12 A10, B5, B8 Materials Design - Synthesis & Modelling A3, A8, B1, B2, B4, B6, B9, B11, B13N A5, A7, A9, A12,
More informationTrapping and Interfacing Cold Neutral Atoms Using Optical Nanofibers
Trapping and Interfacing Cold Neutral Atoms Using Optical Nanofibers Colloquium of the Research Training Group 1729, Leibniz University Hannover, Germany, November 8, 2012 Arno Rauschenbeutel Vienna Center
More informationFano resonance and wave transmission through a chain structure with an isolated ring composed of defects
Fano resonance and wave transmission through a chain structure with an isolated ring composed of defects Zhang Cun-Xi( ) a), Ding Xiu-Huan( ) b)c), Wang Rui( ) a), Zhou Yun-Qing( ) a), and Kong Ling-Min(
More informationTransport through Andreev Bound States in a Superconductor-Quantum Dot-Graphene System
Transport through Andreev Bound States in a Superconductor-Quantum Dot-Graphene System Nadya Mason Travis Dirk, Yung-Fu Chen, Cesar Chialvo Taylor Hughes, Siddhartha Lal, Bruno Uchoa Paul Goldbart University
More informationQuantum Optics with Propagating Microwaves in Superconducting Circuits. Io-Chun Hoi 許耀銓
Quantum Optics with Propagating Microwaves in Superconducting Circuits 許耀銓 Outline Motivation: Quantum network Introduction to superconducting circuits Quantum nodes The single-photon router The cross-kerr
More informationObservation of the nonlinear phase shift due to single post-selected photons
Observation of the nonlinear phase shift due to single post-selected photons Amir Feizpour, 1 Matin Hallaji, 1 Greg Dmochowski, 1 and Aephraim M. Steinberg 1, 2 1 Centre for Quantum Information and Quantum
More informationM.C. Escher. Angels and devils (detail), 1941
M.C. Escher Angels and devils (detail), 1941 1 Coherent Quantum Phase Slip: Exact quantum dual to Josephson Tunneling (Coulomb blockade is a partial dual) Degree of freedom in superconductor: Phase and
More informationSolid-state quantum communications and quantum computation based on single quantum-dot spin in optical microcavities
CQIQC-V -6 August, 03 Toronto Solid-state quantum communications and quantum computation based on single quantum-dot spin in optical microcavities Chengyong Hu and John G. Rarity Electrical & Electronic
More informationBuilding Blocks for Quantum Computing Part IV. Design and Construction of the Trapped Ion Quantum Computer (TIQC)
Building Blocks for Quantum Computing Part IV Design and Construction of the Trapped Ion Quantum Computer (TIQC) CSC801 Seminar on Quantum Computing Spring 2018 1 Goal Is To Understand The Principles And
More informationExploring the quantum dynamics of atoms and photons in cavities. Serge Haroche, ENS and Collège de France, Paris
Exploring the quantum dynamics of atoms and photons in cavities Serge Haroche, ENS and Collège de France, Paris Experiments in which single atoms and photons are manipulated in high Q cavities are modern
More informationGraphene for THz technology
Graphene for THz technology J. Mangeney1, J. Maysonnave1, S. Huppert1, F. Wang1, S. Maero1, C. Berger2,3, W. de Heer2, T.B. Norris4, L.A. De Vaulchier1, S. Dhillon1, J. Tignon1 and R. Ferreira1 1 Laboratoire
More informationManipulation of Artificial Gauge Fields for Ultra-cold Atoms
Manipulation of Artificial Gauge Fields for Ultra-cold Atoms Shi-Liang Zhu ( 朱诗亮 ) slzhu@scnu.edu.cn Laboratory of Quantum Information Technology and School of Physics South China Normal University, Guangzhou,
More informationAharonov-Bohm Effect and Unification of Elementary Particles. Yutaka Hosotani, Osaka University Warsaw, May 2006
Aharonov-Bohm Effect and Unification of Elementary Particles Yutaka Hosotani, Osaka University Warsaw, May 26 - Part 1 - Aharonov-Bohm effect Aharonov-Bohm Effect! B)! Fµν = (E, vs empty or vacuum!= Fµν
More informationSupplementary Information for
Supplementary Information for Ultrafast Universal Quantum Control of a Quantum Dot Charge Qubit Using Landau-Zener-Stückelberg Interference Gang Cao, Hai-Ou Li, Tao Tu, Li Wang, Cheng Zhou, Ming Xiao,
More informationQuantum non-demolition measurements:
Quantum non-demolition measurements: One path to truly scalable quantum computation Kae Nemoto Tim Spiller Sean Barrett Ray Beausoleil Pieter Kok Bill Munro HP Labs (Bristol) Why should optical quantum
More informationPHYSICAL REVIEW B 71,
Coupling of electromagnetic waves and superlattice vibrations in a piezomagnetic superlattice: Creation of a polariton through the piezomagnetic effect H. Liu, S. N. Zhu, Z. G. Dong, Y. Y. Zhu, Y. F. Chen,
More informationLecture 14 Dispersion engineering part 1 - Introduction. EECS Winter 2006 Nanophotonics and Nano-scale Fabrication P.C.Ku
Lecture 14 Dispersion engineering part 1 - Introduction EEC 598-2 Winter 26 Nanophotonics and Nano-scale Fabrication P.C.Ku chedule for the rest of the semester Introduction to light-matter interaction
More informationA Superfluid Universe
A Superfluid Universe Lecture 2 Quantum field theory & superfluidity Kerson Huang MIT & IAS, NTU Lecture 2. Quantum fields The dynamical vacuum Vacuumscalar field Superfluidity Ginsburg Landau theory BEC
More informationKonstantin Y. Bliokh, Daria Smirnova, Franco Nori. Center for Emergent Matter Science, RIKEN, Japan. Science 348, 1448 (2015)
Konstantin Y. Bliokh, Daria Smirnova, Franco Nori Center for Emergent Matter Science, RIKEN, Japan Science 348, 1448 (2015) QSHE and topological insulators The quantum spin Hall effect means the presence
More information