Persistent many-body quantum echoes
arXiv:2005.12382 · doi:10.1103/PhysRevResearch.2.023216
Abstract
We consider quantum many-body systems evolving under a time-independent Hamiltonian from a nonequilibrium initial state at time towards a close-to-equilibrium state at time . Subsequently, this state is slightly perturbed and finally propagated for another time period under the inverted Hamiltonian . The entire procedure may also be viewed as an imperfect time inversion or "echo dynamics". We unravel a remarkable persistence of such dynamics with respect to the observable deviations of the time-dependent expectation values from the equilibrium expectation value: For most perturbations, the deviations in the final state are essentially independent of the inversion time point . Our quantitative analytical predictions compare very well with exact numerical results.
arXiv comment13 pages, 4 figures
References in corpus (37)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Dynamics of Loschmidt echoes and fidelity decay
- Quantum mechanical evolution towards thermal equilibrium
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
- Quantum equilibration in finite time
- Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
- Off-diagonal matrix elements of local operators in many-body quantum systems
- Dynamical typicality of quantum expectation values
- Typical fast thermalization processes in closed many-body systems
- Attenuation of polarization echoes in NMR: A study of the emergence of dynamical irreversibility in many-body quantum systems
- Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
- Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States
- Equilibration of isolated macroscopic quantum systems
- Eigenstate thermalization and quantum chaos in the Holstein polaron model
- Phase Transition in the Density of States of Quantum Spin Glasses
- Loschmidt echo and the many-body orthogonality catastrophe in a qubit-coupled Luttinger liquid
- Quench Dynamics of Isolated Many-Body Quantum Systems
- Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
- Sensitivity of quantum information to environment perturbations measured with a non-local out-of-time-order correlation function
- Gaussian to Exponential Crossover in the Attenuation of Polarization Echoes in NMR
- Thermalisation of Local Observables in Small Hubbard Lattices
- Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model
- Largest Lyapunov exponents for lattices of interacting classical spins
- Relaxation theory for perturbed many-body quantum systems versus numerics and experiment
- Sensitivity to small perturbations in systems of large quantum spins
- Irreversible dynamics in quantum many-body systems
- Lyapunov instabilities in lattices of interacting classical spins at infinite temperature
- Transportless equilibration in isolated many-body quantum systems
- Thermalization away from Integrability and the Role of Operator Off-Diagonal Elements
- Effective time reversal and echo dynamics in the transverse field Ising model
- Predicting Imperfect Echo Dynamics in Many-Body Quantum Systems