Witnessing quasi-particle dynamics in strongly correlated electron system

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1 Witnessing quasi-particle dynamics in strongly correlated electron system, Elettra-Sincrotrone Trieste S. c. p. a. and University of Trieste

2 Time domain studies of complex materials -Pump & Probe Time resolved spectroscopies Time Resolved x-rays and electron diffraction TR Kerr, moke and X-MCD, Arpes TR Spectroscopy, TRRaman Phys. Rev. Lett., 106, (2011), Nature 468, , Nature 435, 655 (2005)

3 Time domain studies of complex materials -Pump & Probe Time resolved spectroscopies Time Resolved x-rays and electron diffraction TR Kerr, moke and X-MCD, Arpes TR Spectroscopy, TRRaman Phys. Rev. Lett., 106, (2011), Nature 468, , Nature 435, 655 (2005) -Pump & Probe Optical Control of Material Photo-Induced phase transitions Coherent control (IR and THz) Light control of quantum coherent phases Science 307, 2005, Nature 449(2007) Science 331, 2011

4 Non-equilibrium Parameters Space Equilibrium physics: Adiabatic Vs. Non-adiabatic heat Pump & Probe Non-equilibrium physics: Photo-induced phase transition Wavelength selectivity of the excitation processes Dephasing processes, coherent artifacts, and Coherent control Electronic Structure: Optical probes: Refl., Absorption, MOKE, WL Spectroscopy, XAS, XMCD, Probe quantum state Electronic states: Photoemission Structural probes: Electron and x-ray diffraction

5 Pump & Probe Electromagnetic pulse

6 Pump & Probe Electromagnetic pulse Wavelength, Intensity, Pulse length...

7 Pump & Probe Electromagnetic pulse Wavelength, Intensity, Pulse length... Carrier Envelope Phase Df=p/2 Quantum State of the e.m. Field

8 Outline Witnessing quasi-particles in strongly correlated electron systems High Vs. Low-photon energy excitation in CTI La 2 CuO 4 Nat. Comm. 5, 5112, 2014 Towards selective excitations of low energy modes Phonon pump and dd-transitions probe in CuGeO3 Quantum Optics for studying ultra-fast processes in Condensed Matter Balanced Homodyne Detection Impulsive phonon excitation: the case of quartz Time evolution of the probe quantum state after the interaction with the material

9 Outline Witnessing quasi-particles in strongly correlated electron systems High Vs. Low-photon energy excitation in CTI La 2 CuO 4 Nat. Comm. 5, 5112, 2014 Towards selective excitations of low energy modes Phonon pump and dd-transitions probe in CuGeO3 Quantum Optics for studying ultra-fast processes in Condensed Matter Balanced Homodyne Detection Impulsive phonon excitation: the case of quartz Time evolution of the probe quantum state after the interaction with the material

10 Optical properties of La 2-x Sr x CuO 4 CT gap PRB

11 Optical properties of La 2-x Sr x CuO 4 La 2 CuO 4 CT gap PRB

12 Optical properties of La 2-x Sr x CuO 4 La 2 CuO 4 CT e - CT gap PRB

13 Optical properties of La 2-x Sr x CuO 4 La 2 CuO 4 CT e - CT gap broadband probe PRB

14 Optical properties of La 2-x Sr x CuO 4 La 2 CuO 4 hn=3ev CT e - CT gap broadband probe PRB

15 Optical properties of La 2-x Sr x CuO 4 La 2 CuO 4 hn=3ev CT e - hn=1ev CT gap broadband probe PRB

16 Selectivity of the excitation process pump 3eV pump probe

17 Selectivity of the excitation process pump 3eV pump probe

18 Selectivity of the excitation process pump 3eV pump pum p probe pump 1eV

19 Selectivity of the excitation process pump 3eV pump pum p probe pump 1eV

20 Selectivity of the excitation process Ultrafast Dynamics Sub-gap excitation Slow thermal response Sub- and Super- gap

21 Selectivity of the excitation process Pump 3eV Pump 1eV

22 Selectivity of the excitation process A Pump 3eV Pump 1eV

23 Selectivity of the excitation process A B Pump 3eV Pump 1eV B t>0

24 Hubbard Holstein Hamiltonian Hopping e-e repulsion Boson coupling collaboration with N. Nagaosa, A. Mishchenko, G. De Filippis and V. Cataudella

25 Hubbard Holstein Hamiltonian Hopping e-e repulsion Boson coupling collaboration with N. Nagaosa, A. Mishchenko, G. De Filippis and V. Cataudella

26 Experiment Vs. Theory t=0 t>0

27 Experiment Vs. Theory t=0 t=0 t>0 t>0

28 Experiment Vs. Theory t=0 t=0 t>0 t>0

29 High Vs. Low-photon energy excitation hn>eg e - t>0 Incoherent Dressing Coherent Dressing hn<eg 0<t<t 1 t>t 1 Nat. Comm. 5, 5112, 2014

30 High Vs. Low-photon energy excitation hn>eg e - t>0 Incoherent Dressing Coherent Dressing hn<eg 0<t<t 1 t>t 1 Nat. Comm. 5, 5112, 2014

31 High Vs. Low-photon energy excitation hn>eg e - t>0 Incoherent Dressing Coherent Dressing hn<eg 0<t<t 1 t>t 1 Nat. Comm. 5, 5112, 2014

32 High Vs. Low-photon energy excitation The boson is necessary Will this excitation mechanism influence response in conducting systems? hn>eg e - t>0 Incoherent Dressing Coherent Dressing hn<eg 0<t<t 1 t>t 1 Nat. Comm. 5, 5112, 2014

33 Outline Witnessing quasi-particles in strongly correlated electron systems High Vs. Low-photon energy excitation in CTI La 2 CuO 4 Towards selective excitations of low energy modes Phonon pump and dd-transitions probe in CuGeO 3 Quantum Optics for studying ultra-fast processes in Condensed Matter Balanced Homodyne Detection Impulsive phonon excitation: the case of quartz Time evolution of the probe quantum state after the interaction with the material

34 Outline Witnessing quasi-particles in strongly correlated electron systems High Vs. Low-photon energy excitation in CTI La 2 CuO 4 Towards selective excitations of low energy modes Phonon pump and dd-transitions probe in CuGeO 3 Quantum Optics for studying ultra-fast processes in Condensed Matter Balanced Homodyne Detection Impulsive phonon excitation: the case of quartz Time evolution of the probe quantum state after the interaction with the material

35 Phonon Pump in CuGeO3

36 Phonon Pump in CuGeO3 Prb, 80,

37 Phonon Pump in CuGeO3 Prb, 80, ; Prb, 61, 12063

38 Phonon Pump in CuGeO3 13mm pump Prb, 80, ; Prb, 61, 12063

39 Phonon Pump in CuGeO3 probe probe pump Prb, 80, ; Prb, 61, 12063

40 Phonon Pump in CuGeO3 probe probe pump Prb, 80, ; Prb, 61, 12063

41 Phonon Pump in CuGeO3 probe probe pump Prb, 80, ; Prb, 61, 12063

42 Phonon Pump in CuGeO3

43 Phonon Pump in CuGeO3

44 Phonon Pump in CuGeO3

45 Phonon Pump in CuGeO3

46 Phonon Pump in CuGeO3

47 Phonon Pump in CuGeO3

48 Phonon Pump in CuGeO3

49 Outline Witnessing quasi-particles in strongly correlated electron systems High Vs. Low-photon energy excitation in CTI La 2 CuO 4 Towards selective excitations of low energy modes Phonon pump and dd-transitions probe in CuGeO 3 Quantum Optics for studying ultra-fast processes in Condensed Matter Balanced Homodyne Detection Impulsive phonon excitation: the case of quartz Time evolution of the probe quantum state after the interaction with the material

50 Outline Witnessing quasi-particles in strongly correlated electron systems High Vs. Low-photon energy excitation in CTI La 2 CuO 4 Towards selective excitations of low energy modes Phonon pump and dd-transitions probe in CuGeO 3 Quantum Optics for studying ultra-fast processes in Condensed Matter Balanced Homodyne Detection Impulsive phonon excitation: the case of quartz Time evolution of the probe quantum state after the interaction with the material

51 Quantum Optics for studying Condensed Matter out of equilibrium Experimental Quantum Optics Measurements of quantum states of light Study of out of equilibrium states in Condensed Matter: Pump&Probe PUMP PULSE

52 (%) Quantum Optics for studying Condensed Matter out of equilibrium Experimental Quantum Optics Measurements of quantum states of light Study of out of equilibrium states in Condensed Matter: Pump&Probe PROBE PULSE Coherent phonon in Bismuth PUMP PULSE

53 (%) Quantum Optics for studying Condensed Matter out of equilibrium Experimental Quantum Optics Measurements of quantum states of light Study of out of equilibrium states in Condensed Matter: Pump&Probe PUMP PULSE PROBE PULSE Balanced Homodyne Detection Coherent phonon in Bismuth

54 Quantum State Reconstruction differential detector _ wedges piezo Local Oscillator Signal mirror BS l/2 polarizer

55 Quantum State Reconstruction differential detector _ wedges piezo Local Oscillator Signal mirror BS l/2 polarizer

56 Quantum State Reconstruction N 50 N 0.2 Signal Local Oscillator

57 Quantum State Reconstruction N 50 N 0.2 Signal Local Oscillator N 50 N 0.2 WIGNER FUNCTION RECONSTRUCTION M. Esposito et al. New Journal of Physics 16 (2014)

58 Quantum State Reconstruction Coherent State N=9 Squeezed State N=9 Signal Local Oscillator WIGNER FUNCTION RECONSTRUCTION M. Esposito et al. New Journal of Physics 16 (2014)

59 Quantum Optics for studying Condensed Matter out of equilibrium differential detector _ wedges piezo lens sample mirror BS l/2 polarizer

60 Quantum Optics for studying Condensed Matter out of equilibrium

61 Quantum Optics for studying Condensed Matter out of equilibrium

62 Quantum Optics for studying Condensed Matter out of equilibrium

63 Quantum Optics for studying Condensed Matter out of equilibrium

64 Quantum Optics for studying Condensed Matter out of equilibrium

65 Quantum Optics for studying Condensed Matter out of equilibrium

66 Quantum Optics for studying Condensed Matter out of equilibrium

67 Quantum Optics for studying Condensed Matter out of equilibrium Experimental Quantum Optics Measurements of quantum states of light Study of out of equilibrium states in Condensed Matter: Pump&Probe

68 Quantum Optics for studying Condensed Matter out of equilibrium Full quantum state reconstruction of the probe pulses

69 Quantum Optics for studying Condensed Matter out of equilibrium Full quantum state reconstruction of the probe pulses High Order Momenta!

70 Quantum Optics for studying Condensed Matter out of equilibrium Full quantum state reconstruction of the probe pulses Squeezing of light!!! High Order Momenta!

71 Quantum Optics for studying Condensed Matter out of equilibrium Full quantum state reconstruction of the probe pulses Squeezing of light!!! High Order Momenta! Squeezing Parameter

72 Quantum Optics for studying Condensed Matter out of equilibrium

73 Quantum Optics for studying Condensed Matter out of equilibrium

74 Quantum Optics for studying Condensed Matter out of equilibrium Photon Squeezing by phonon!!

75 Quantum Optics for studying Condensed Matter out of equilibrium? Photon Squeezing by phonon!!

76 Conclusions The light pulses do not just inject energy into the system! Unravel e-e and e-ph interactions in condensed matter through selective excitations: Witnessing the boson dressing of electronic excitations Coherent response of low energy degrees of freedom Full treatment of light matter interaction is needed beyond effective temperature models Time domain tomographic quantum state reconstruction hn<eg 0<t<t 1 t>t 1

77 Perspectives Higher order measurements of fluctuation spectroscopy in inhomogeneous phases Higher order measurements of silent modes AntiFerrimagnet Coupling infrared pumps with quantum state reconstruction IR prepare the low energy mode in a coherent state Homodyne reconstruction measure the interaction with electronic excitation Manipulation of optical pulses through light Matter interactions probe pump Sci. 318, p.1750 (2007) Nat. 406, (2000) Nat. 450, 81 (2007)

78 Acknowledgement Fabio Novelli, Martina Esposito, Francesco Randi, Francesca Giusti, Gabriele Berruto, Federico Cilento, Enrico Sindici, Fulvio Parmigiani (Elettra, University of Trieste, Sincrotrone Trieste) Giulio De Filippis, Vittorio Cataudella (Università di Napoli Federico II) Andrey Mishchenko, Naoto Nagaosa (RIKEN Center for Emergent Matter Science) Fabio Benatti and Roberto Floreanini (University of Trieste) Adriano Amaricci, Massimo Capone (Sissa, Trieste) Stefano Dal conte e Giulio Cirullo (Politecnico di Milano); Dharmalingam Prabhakaran (Department of Physics, University of Oxford, UK) Claudio Giannetti (Department of Physics, Università Cattolica del Sacro Cuore) Simon Wall (ICFO, Barcelona) Andrea Perucchi (Sissi and Fermi, Trieste)

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