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Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit

Tomaz Prosen
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Abstract

Numerical evidence is given for non-ergodic (non-mixing) behavior, exhibiting ideal transport, of a simple non-integrable many-body quantum system in the thermodynamic limit, namely kicked $t-V$ model of spinless fermions on a ring. However, for sufficiently large kick parameters $t$ and $V$ we recover quantum ergodicity, and normal transport, which can be described by random matrix theory.

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Tomaz Prosen. 1997-07-17. Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit. https://doi.org/10.1103/physrevlett.80.1808

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