Non-Equilibrium Many-Body Dynamics Following A Quantum Quench
- URL: http://arxiv.org/abs/2111.09300v1
- Date: Wed, 17 Nov 2021 18:55:11 GMT
- Title: Non-Equilibrium Many-Body Dynamics Following A Quantum Quench
- Authors: Manan Vyas
- Abstract summary: We study analytically and numerically the non-equilibrium dynamics of an isolated interacting many-body quantum system following a random quench.
We obtain a generic formulation for describing relaxation dynamics of survival probabilities as a function of rank of interactions.
- Score: 0.40357531559576965
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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