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

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

1997-07-17

arxiv.org/abs/cond-mat/9707180v1

Physics

Condensed Matter

Statistical Mechanics

4 pages in RevTex (6 figures in PostScript included)

Scientific paper

10.1103/PhysRevLett.80.1808

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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