Quantum invariants of motion in a generic many-body system

Details Quantum invariants of motion in a generic many-body system Quantum invariants of motion in a generic many-body system

1998-03-30

arxiv.org/abs/cond-mat/9803358v1

Physics

Condensed Matter

Statistical Mechanics

4 pages in REVTeX with 5 eps figures included

Scientific paper

10.1088/0305-4470/31/37/004

Dynamical Lie-algebraic method for the construction of local quantum invariants of motion in non-integrable many-body systems is proposed and applied to a simple but generic toy model, namely an infinite kicked $t-V$ chain of spinless fermions. Transition from integrable via {pseudo-integrable (\em intermediate}) to quantum ergodic (quantum mixing) regime in parameter space is investigated. Dynamical phase transition between ergodic and intermediate (neither ergodic nor completely integrable) regime in thermodynamic limit is proposed. Existence or non-existence of local conservation laws corresponds to intermediate or ergodic regime, respectively. The computation of time-correlation functions of typical observables by means of local conservation laws is found fully consistent with direct calculations on finite systems.

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