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

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Page 1: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti, Elettra-Sincrotrone Trieste S. c. p. a. and University of Trieste

Witnessing quasi-particle dynamics in strongly correlated electron system

Page 2: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Time resolved spectroscopies

-Pump & Probe

Time Resolved x-rays and electron diffraction TR Kerr, moke and X-MCD, Arpes TR Spectroscopy, TRRaman

Phys. Rev. Lett., 106, 217401 (2011), Nature 468, 799–802, Nature 435, 655 (2005)

Time domain studies of complex materials

Page 3: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Time resolved spectroscopies

-Pump & Probe

Optical Control of Material

-Pump & Probe

Time Resolved x-rays and electron diffraction TR Kerr, moke and X-MCD, Arpes TR Spectroscopy, TRRaman

Phys. Rev. Lett., 106, 217401 (2011), Nature 468, 799–802, Nature 435, 655 (2005)

Science 307, 2005, Nature 449(2007) Science 331, 2011

Photo-Induced phase transitions Coherent control (IR and THz) Light control of quantum coherent phases

Time domain studies of complex materials

Page 4: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Pump & Probe Equilibrium physics: Adiabatic Vs. Non-adiabatic heat

Non-equilibrium physics: Photo-induced phase transition Wavelength selectivity of the excitation processes

Electronic Structure: Optical probes: Refl., Absorption, MOKE, WL Spectroscopy, XAS, XMCD, Probe quantum state Electronic states: Photoemission Structural probes: Electron and x-ray diffraction

Dephasing processes, coherent

“artifacts”, and Coherent control

Non-equilibrium “Parameters Space”

Page 5: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Electromagnetic pulse

Pump & Probe

Page 6: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Wavelength, Intensity, Pulse length... Electromagnetic pulse

Pump & Probe

Page 7: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Df=p/2

Wavelength, Intensity, Pulse length...

Carrier Envelope Phase Quantum State of the e.m. Field

Electromagnetic pulse

Pump & Probe

Page 8: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Outline

Witnessing quasi-particles in strongly correlated electron systems

• High Vs. Low-photon energy excitation in CTI La2CuO4

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

Nat. Comm. 5, 5112, 2014

Page 9: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Outline

Witnessing quasi-particles in strongly correlated electron systems

• High Vs. Low-photon energy excitation in CTI La2CuO4

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

Nat. Comm. 5, 5112, 2014

Page 10: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

PRB 43 7942 1991

CT

gap

Optical properties of La2-xSrxCuO4

Page 11: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

PRB 43 7942 1991

CT

gap

La2CuO4

Optical properties of La2-xSrxCuO4

Page 12: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

PRB 43 7942 1991

CT

gap

La2CuO4

e-

CT

Optical properties of La2-xSrxCuO4

Page 13: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

PRB 43 7942 1991

CT

gap

La2CuO4

broadband

probe

e-

CT

Optical properties of La2-xSrxCuO4

Page 14: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

PRB 43 7942 1991

CT

gap

La2CuO4

broadband

probe

e-

CT

hn=3eV

Optical properties of La2-xSrxCuO4

Page 15: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

PRB 43 7942 1991

CT

gap

La2CuO4

broadband

probe

e-

CT

hn=3eV

hn=1eV

Optical properties of La2-xSrxCuO4

Page 16: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Selectivity of the excitation process

pump 3eV

pump

probe

Page 17: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Selectivity of the excitation process

pump 3eV

pump

probe

Page 18: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Selectivity of the excitation process

pump 3eV

pump

probe

pump 1eV

pum

p probe

Page 19: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Selectivity of the excitation process

pump 3eV

pump

probe

pump 1eV

pum

p probe

Page 20: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Ultrafast Dynamics Sub-gap excitation

“Slow” thermal response Sub- and Super- gap

Selectivity of the excitation process

Page 21: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Pump 3eV

Pump 1eV

Selectivity of the excitation process

Page 22: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Pump 3eV

Pump 1eV

A

Selectivity of the excitation process

Page 23: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Pump 3eV

Pump 1eV

A

t>0

B

B

Selectivity of the excitation process

Page 24: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Hopping

e-e repulsion

Boson coupling

Hubbard Holstein Hamiltonian

collaboration with N. Nagaosa, A. Mishchenko, G. De Filippis and V. Cataudella

Page 25: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Hopping

e-e repulsion

Boson coupling

Hubbard Holstein Hamiltonian

collaboration with N. Nagaosa, A. Mishchenko, G. De Filippis and V. Cataudella

Page 26: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

t=0

t>0

Experiment Vs. Theory

Page 27: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

t=0

t>0

t=0

t>0

Experiment Vs. Theory

Page 28: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

t=0

t>0

t=0

t>0

Experiment Vs. Theory

Page 29: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Incoherent Dressing e-

hn>Eg t>0

Coherent Dressing

hn<Eg t>t1 0<t<t1

High Vs. Low-photon energy excitation

Nat. Comm. 5, 5112, 2014

Page 30: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Incoherent Dressing e-

hn>Eg t>0

Coherent Dressing

hn<Eg t>t1 0<t<t1

High Vs. Low-photon energy excitation

Nat. Comm. 5, 5112, 2014

Page 31: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Incoherent Dressing e-

hn>Eg t>0

Coherent Dressing

hn<Eg t>t1 0<t<t1

High Vs. Low-photon energy excitation

Nat. Comm. 5, 5112, 2014

Page 32: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Incoherent Dressing e-

hn>Eg t>0

Coherent Dressing

hn<Eg t>t1 0<t<t1

High Vs. Low-photon energy excitation

The boson is necessary

Will this excitation

mechanism influence response

in conducting systems?

Nat. Comm. 5, 5112, 2014

Page 33: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Outline

Witnessing quasi-particles in strongly correlated electron systems

• High Vs. Low-photon energy excitation in CTI La2CuO4

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

Page 34: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Outline

Witnessing quasi-particles in strongly correlated electron systems

• High Vs. Low-photon energy excitation in CTI La2CuO4

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

Page 35: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 36: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Prb, 80, 235139

Page 37: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Prb, 80, 235139; Prb, 61, 12063

Page 38: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

pump 13mm

Prb, 80, 235139; Prb, 61, 12063

Page 39: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

pump probe

Prb, 80, 235139; Prb, 61, 12063

probe

Page 40: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

pump probe

Prb, 80, 235139; Prb, 61, 12063

probe

Page 41: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

pump probe

probe

Prb, 80, 235139; Prb, 61, 12063

Page 42: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 43: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 44: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 45: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 46: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 47: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 48: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Phonon Pump in CuGeO3

Page 49: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Outline

Witnessing quasi-particles in strongly correlated electron systems

• High Vs. Low-photon energy excitation in CTI La2CuO4

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

Page 50: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Outline

Witnessing quasi-particles in strongly correlated electron systems

• High Vs. Low-photon energy excitation in CTI La2CuO4

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

Page 51: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

PUMP PULSE

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

Page 52: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

(%) PROBE PULSE

Coherent phonon

in Bismuth

PUMP PULSE

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

Page 53: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

(%) PROBE PULSE

Coherent phonon

in Bismuth

PUMP PULSE

Quantum Optics for studying Condensed Matter out of equilibrium

Balanced Homodyne Detection

Experimental Quantum Optics Measurements of quantum states of light

Study of out of equilibrium states in Condensed Matter: Pump&Probe

Page 54: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum State Reconstruction

_

polarizer l/2

Signal

BS

piezo

differential detector

wedges

mirror

Local Oscillator

Page 55: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

_

polarizer l/2

Signal

BS

piezo

differential detector

wedges

mirror

Local Oscillator

Quantum State Reconstruction

Page 56: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

N50 N0.2

Signal

Local Oscillator

Quantum State Reconstruction

Page 57: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

WIGNER FUNCTION RECONSTRUCTION N50 N0.2

M. Esposito et al. New Journal of Physics 16 (2014) 043004

N50 N0.2

Signal

Local Oscillator

Quantum State Reconstruction

Page 58: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Signal

Local Oscillator

Coherent State N=9 Squeezed State N=9

WIGNER FUNCTION RECONSTRUCTION

M. Esposito et al. New Journal of Physics 16 (2014) 043004

Quantum State Reconstruction

Page 59: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

_

polarizer l/2

sample

BS

piezo

differential detector

wedges

lens

mirror

Page 60: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 61: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 62: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 63: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 64: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 65: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 66: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 67: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

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

Page 68: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Full quantum state reconstruction of

the probe pulses

Page 69: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Full quantum state reconstruction of

the probe pulses

High Order Momenta!

Page 70: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Full quantum state reconstruction of

the probe pulses

High Order Momenta!

Squeezing of light!!!

Page 71: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Full quantum state reconstruction of

the probe pulses

High Order Momenta!

Squeezing of light!!!

Squeezing Parameter

Page 72: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 73: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Page 74: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Photon Squeezing by phonon!!

Page 75: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Quantum Optics for studying Condensed Matter out of equilibrium

Photon Squeezing by phonon!!

?

Page 76: Witnessing quasi-particle dynamics in strongly correlated electron system · 2014. 12. 17. · SCSR2014, Trieste Daniele Fausti Outline Witnessing quasi-particles in strongly correlated

Daniele Fausti SCSR2014, Trieste

Conclusions

hn<Eg

t>t1 0<t<t1

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

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Daniele Fausti SCSR2014, Trieste

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

pump

probe

Sci. 318, p.1750 (2007)

Nat. 406, 486-488 (2000)

Nat. 450, 81 (2007)

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Daniele Fausti SCSR2014, Trieste

Fabio Novelli, Martina Esposito, Francesco Randi, Francesca Giusti, Gabriele Berruto, Federico Cilento, Enrico Sindici, Fulvio Parmigiani (Elettra, University of Trieste, Sincrotrone Trieste)

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)

Giulio De Filippis, Vittorio Cataudella (Università di Napoli Federico II)

Acknowledgement