Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wavepackets

Abstract

The at-will control of quantum states is a primary goal of quantum science and technology. The celebrated Hahn echo exemplifies such quantum-state control based on a time-reversal process in a few-level system. Here, we propose a different echo phenomenon associated with the energy-band structure in quantum many-body systems. We show that the dynamics of quasiparticle wavepackets can be reversed by a driving electric-field pulse, yielding echoes with the time-reversed waveform of the optical excitation pulse when the quasiparticles recombine. The present echoes are observed not only in band insulators but also in correlated insulators, including a Mott insulator and a spontaneously-broken-symmetry charge-ordered insulator, in one- and higher-dimensional systems, irrespective of the integrability of the models. Analytical expressions reveal the conditions under which the echoes appear, and they also indicate that the frequency of the echo pulses reflects the dispersion relation for quasiparticles such as electron-hole pairs, doublon-holon pairs, and kink-antikink pairs. These findings provide a framework for all-optical momentum-resolved spectroscopy of the quasiparticles in quantum many-body systems.

17 pages, 9 figures

References in corpus (17)

• Photonic quantum technologies
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Dynamics of Loschmidt echoes and fidelity decay
• Nonthermal pathways to ultrafast control in quantum materials
• Loschmidt Echo
• Diabatic Mechanisms of Higher-Order Harmonic Generation in Solid-State Materials under High-Intensity Electric Fields
• Observation of light driven band structure via multi-band high harmonic spectroscopy
• Ultrafast Angle-Resolved Photoemission Spectroscopy of Quantum Materials
• High-order Harmonic Generation and its Unconventional Scaling Law in the Mott-insulating $\mathrm{C}{\mathrm{a}}_2\mathrm{Ru}{\mathrm{O}}_4$
• High-harmonic generation in one-dimensional Mott insulator
• High harmonic spectroscopy of quantum phase transitions in a high-T${}_c$ superconductor
• Dynamical birefringence: Electron-hole recollisions as probes of Berry curvature
• Manipulating magnetism by ultrafast control of the exchange interaction
• Spin and charge dynamics of the one-dimensional extended Hubbard model
• Stopping and Time Reversal of Light in Dynamic Photonic Structures via Bloch Oscillations
• Probing the energy conversion pathways between light, carriers and lattice in real time with attosecond core-level spectroscopy
• HHG-laser-based time- and angle-resolved photoemission spectroscopy of quantum materials

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• Controlling inversion and time-reversal symmetries by subcycle pulses in the one-dimensional extended Hubbard model
• Theory for Fourier-limited attosecond pulse generation in solids