Florent Lecocq. Control and measurement of an optomechanical system using a superconducting qubit. Funding NIST NSA/LPS DARPA.

Transcription

1 Funding NIST NSA/LPS DARPA Boulder, CO Control and measurement of an optomechanical system using a superconducting qubit Florent Lecocq PIs Ray Simmonds John Teufel Joe Aumentado

2 Introduction: typical architecture Non Gaussian resource Large Hilbert space Long lifetime Quantum information processing Two Level System Cavity QED Linear Harmonic Oscillator Storage or Bus

3 Introduction: typical architecture Linear Harmonic Oscillator Linear quantum information processing Two Level System Analog information processing Linear Harmonic Oscillator

4 Introduction: cqed and optomechanics Serge Haroche Photon Cavity Two Level System Optomechanics David Wineland Mechanical Oscillator

5 Introduction: cqed and optomechanics What about superconducting circuit? EASY Photon Cavity Two Level System Optomechanics John Teufel EASY HARD Mechanical Oscillator

6 Introduction: cqed and optomechanics Photon Cavity Two Level System Optomechanics This talk : Mechanical Oscillator

7 Why mechanical oscillators? Lifetime applied information storage Optical to microwave Precision measurement R. Andrews et al, arxiv: , (2013). G. Kirchmair, Nature, 495 (2013).

8 Overview Cavity QED : Create and measure complex quantum photon states Cavity Optomechanics : Manipulate and measure mechanical motion using photons Our Goal : Implementation of a hybrid system to readout and prepare quantum state of light and motion

9 Overview Cavity QED : Create and measure complex quantum photon states Cavity Optomechanics : Manipulate and measure mechanical motion using photons Our Goal : Implementation of a hybrid system to readout and prepare quantum state of light and motion

10 Cavity QED : circuits and microwave photons ( + ) ( + ) Fock states Hofheinz et al, Nature 454 (2008) Hofheinz et al, Nature 459 (2009)

11 Cavity QED : circuits and microwave photons ( + ) ( + ) Coherent states multiple frequencies Hofheinz et al, Nature 454 (2008) Hofheinz et al, Nature 459 (2009)

12 Cavity QED : circuits and microwave photons ( + ) ( + ) Arbitrary states Hofheinz et al, Nature 454 (2008) Hofheinz et al, Nature 459 (2009)

13 Cavity QED : circuits and mechanical oscillators O Connell et al, Nature 464 (2010) Pirkkalainen et al, Nature 494 (2013)

14 Overview Cavity QED : Create and measure complex quantum photon states Cavity Optomechanics : Manipulate and measure mechanical motion using photons Our Goal : Implementation of a hybrid system to readout and prepare quantum state of macroscopic mechanical motion

15 Cavity optomechanics in a nutshell Couple an electromagnetic resonance to a mechanical resonance phase position High Q cavity enhances the interaction

16 Cavity optomechanics: back-action forces Pump detuning breaks the balance = Damping & cooling = + Anti-damping & heating Radiation pressure force does work

17 Cavity optomechanics : radiation pressure = ( + ) = ( + ) = ( + ) = = Single photon coupling rate = Large coherent drive: + = ( + )( + ) where = Parametric enhancement loss Strong Coupling Regime (but linear)

18 Choose your Hamiltonian = ( + )( + ) = Damping & cooling swap + Beam splitter = + Anti-damping & heating amplification + Two-mode squeezer ( Jaynes-Cummings: + )

19 A zoo of optomechanical systems Starving for coupling = M. Aspelmeyer, T. Kippenberg & F. Marquardt, Arxiv, (2013).

20 From optics to microwaves Single photon coupling rate = Fabry-Perot Cavity LC Transducer Circuit L Braginsky & Khalili (1988) = =

21 Photo Credit: A. W. Sanders Teufel et al, Nature, 471 (2011) Plate separation mode volume 1 photon

22 Microwave optomechanics achievements 1. Continuous waves & driven response : = T = 40mK Beam Splitter = ( + ) Strong Coupling Teufel et al, Nature 471 (2011)

23 Microwave optomechanics achievements 2. Continuous waves & noise spectrum : T = 40mK Beam Splitter = ( + ) Ground State Cooling Teufel et al, Nature 475 (2011)

24 Microwave optomechanics achievements 3. Pulsed interaction : Beam Splitter + storage retrieval T = 40mK Two-mode squeezer + How to go beyond Gaussian states and linear measurement? Correlations Palomaki et al, Nature 495 (2013) & Palomaki et al, Science 342 (2013)

25 Overview Cavity QED : Create and measure complex quantum photon states Cavity Optomechanics : Manipulate and measure mechanical motion using photons Our Goal : Implementation of a hybrid system to readout and prepare quantum state of light and motion

26 A nonlinear resource for optomechanics

27 A nonlinear resource for optomechanics Qubit readout Microwave control and readout Qubit control T = 40mK

28 Frequency domain: characterization

29 Frequency domain: characterization

30 Frequency domain: characterization = Pump Power 0 =.

31 Frequency domain: characterization

32 Time domain: cqed Phase qubit Microwave cavity =. =. =. =. =. =.

33 Nonlinear readout of an optomechanical system Microwave cavity Mechanical oscillator dynamic range < < [.. ]

34 Simulation of optomechanical interaction Microwave Cavity Mechanical Oscillator No Loss = No Cooling

35 Simulation of optomechanical interaction Microwave Cavity Mechanical Oscillator

36 Simulation of optomechanical interaction Microwave Cavity Mechanical Oscillator

37 Simulation of optomechanical interaction

38 Nonlinear readout of an optomechanical system =. =. =.

39 Nonlinear readout of an optomechanical system,,,,.

40 Nonlinear readout of an optomechanical system Coherent SWAP photon/phonon down to a fraction of a quantum Future :,, Process reversible, and STATE INDEPENDANT, =. Law & Eberly protocol

41 Nonlinear readout of an optomechanical system near quantum-limited amplification monitoring < Future : Sequence interaction and tomography,, Dual mode squeezing and entanglement

42 Conclusion & future directions Architecture for quantum information using mechanical resonator Members Shane Allman Manuel Castellanos-Beltran Kat Cicak Mike DeFeo Fabio Da Silva Jed Whittaker Students Adam Sirois PIs Ray Simmonds John Teufel Joe Aumentado

43 1cm THANK YOU