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

Faculty of Math.&Phys.; Ljubljana; Slovenia); Tomaz Prosen (Physics Dept.; University of Ljubljana

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

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arxiv cond-mat/9707180 v1 pith:FNPXPPFN submitted 1997-07-17 cond-mat.stat-mech chao-dyncond-mat.str-elnlin.CD

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

Tomaz Prosen (Physics Dept. , Faculty of Math.&Phys. , University of Ljubljana , Ljubljana , Slovenia) This is my paper

classification cond-mat.stat-mech chao-dyncond-mat.str-elnlin.CD

keywords quantumergodicitylimitmany-bodysystemthermodynamictransportbehavior

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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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