A map from 1d Quantum Field Theory to Quantum Chaos on a 2d Torus

Abstract

Dynamics of a class of quantum field models on 1d lattice in Heisenberg picture is mapped into a class of `quantum chaotic' one-body systems on configurational 2d torus (or 2d lattice) in Schr\" odinger picture. Continuum field limit of the former corresponds to quasi-classical limit of the latter.

4 pages in REVTeX, 1 eps-figure included

References in corpus (3)

• Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit
• Quantum invariants of motion in a generic many-body system
• A new class of completely integrable quantum spin chains

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• Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors
• Supersymmetry and Integrability in Planar Mechanical Systems