Quons in a Quantum Dissipative System

TL;DR

This paper uses string theory to analyze a quantum dissipative system, revealing that its elementary excitations are quons with q-deformed statistics at off-critical points.

Contribution

It introduces a string theory formulation of the dissipative Wannier-Azbel-Hofstadter model and identifies quons as elementary excitations in the system.

Findings

Elementary excitations are quons with q-deformed statistics.

String theory provides a new approach to analyze quantum dissipative systems.

Excitations are identified at off-critical points in the zero temperature limit.

Abstract

String theory proves to be an imperative tool to explore the critical behavior of the quantum dissipative system. We discuss the quantum particles moving in two dimensions, in the presence of a uniform magnetic field, subject to a periodic potential and a dissipative force, which are described by the dissipative Wannier-Azbel-Hofstadter (DWAH) model. Using string theory formulation of the model, we find that the elementary excitations of the system at the generic points of the off-critical regions, in the zero temperature limit are quons, which satisfy q-deformed statistics.