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Eigenstate thermalization hypothesis and random-matrix-theory universality in few-body systems
Jiaozi Wang1, Hua Yan2, Robin Steinigeweg1
1University of Osnabrück, Department of Mathematics/Computer Science/Physics, D-49076 Osnabrück, Germany.
Abstract:
In this paper, we use the Feingold-Peres model, a well-known paradigm of quantum chaos, as an example. Using semiclassical analysis and numerical simulations, we investigate the statistical properties of observables in few-body systems with chaotic classical limits and the emergence of random-matrix-theory universality. More specifically, we focus on (1) the applicability of the eigenstate thermalization hypothesis in few-body systems and the dependence of its form on the effective Planck constant and (2) the existence of a universal random-matrix-theory description of observables when truncated to a small microcanonical energy window. Our results provide insights into the established field of few-body quantum chaos and help bridge it to modern perspectives, such as the general eigenstate thermalization hypothesis.
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