A map from 1d Quantum Field Theory to Quantum Chaos on a 2d Torus
Tomaz Prosen (Faculty of Math.&Phys., Univ.of Ljubljana, Slovenia)
TL;DR
This paper establishes a correspondence between 1d quantum field theories and 2d quantum chaotic systems, revealing how lattice dynamics relate to chaos on a torus in the continuum limit.
Contribution
It introduces a novel mapping from 1d quantum field models to 2d quantum chaotic systems, bridging quantum field theory and quantum chaos in a new framework.
Findings
Mapping connects 1d quantum fields to 2d quantum chaos
Continuum limit corresponds to quasi-classical regime
Provides insights into quantum chaos on a 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.
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