Boundary State for Dissipative Quantum Mechanics and Thirring Model

TL;DR

This paper develops boundary states for one-dimensional dissipative quantum systems using the Thirring model, providing a unified description at and off critical points, enhancing understanding of boundary effects in quantum dissipation.

Contribution

It introduces a method to construct boundary states for dissipative quantum systems based on the Thirring model, applicable across critical and non-critical regimes.

Findings

Boundary states successfully describe dissipative systems at critical points.

The approach extends to off-critical regimes, capturing boundary effects.

Provides a framework for analyzing boundary phenomena in quantum dissipation.

Abstract

The dissipative quantum system is studied using the Thirring model with a boundary mass. At the critical point where the Thirring coupling vanishes, the theory reduces to a free fermion theory with a boundary mass. We construct boundary states for the dissipative quantum systems in one dimension, which describes the system off the critical points as well as at the critical points.