Non-Equilibrium Many-Body Dynamics Following A Quantum Quench
arXiv:2111.09300 · doi:10.1063/1.5016145
Abstract
We study analytically and numerically the non-equilibrium dynamics of an isolated interacting many-body quantum system following a random quench. We model the system Hamiltonian by Embedded Gaussian Orthogonal Ensemble (EGOE) of random matrices with one plus few-body interactions for fermions. EGOE are paradigmatic models to study the crossover from integrability to chaos in interacting many-body quantum systems. We obtain a generic formulation, based on spectral variances, for describing relaxation dynamics of survival probabilities as a function of rank of interactions. Our analytical results are in good agreement with numerics.
arXiv comment6 pages, 2 figures
References in corpus (13)
- A bound on chaos
- Quantum thermalization through entanglement in an isolated many-body system
- Many-body localization in a quantum simulator with programmable random disorder
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Exploring Localization in Nuclear Spin Chains
- Random Matrices and Chaos in Nuclear Spectra
- Review of the k-Body Embedded Ensembles of Gaussian Random Matrices
- General Features of the Relaxation Dynamics of Interacting Quantum Systems
- Structure of wavefunctions in (1+2)-body random matrix ensembles
- Thermalization in the Two-Body Random Ensemble
- Efficient quantum transport in disordered interacting many-body networks
- Quantum efficiencies in finite disordered networks connected by many-body interactions