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Cold atoms

Functional-Integral Approach to Non-Equilibrium Quantum Many-Body Dynamics

Cédric Bodet, Matthias Kronenwett, Boris Nowak, Dénes Sexty, Thomas Gasenzer

Published Mar 18, 2013• 1 citation
Publisher
DOI
10.1142/9781848168121_0016

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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.