Quasi-calssical approach to two-level systems with dissipation

TL;DR

This paper maps the quantum dynamics of two-level systems with dissipation to a classical model involving a charged particle in a harmonic potential and magnetic field, analyzing eigenstates, tunneling, localization, and dissipation effects.

Contribution

It introduces a quasi-classical approach that connects quantum dissipation phenomena in two-level systems to a classical charged particle model, providing new insights into their dynamic behavior.

Findings

Eigenstates and tunneling behaviors are characterized.

Dissipative equations of motion are derived.

Localization phenomena are analyzed.

Abstract

The quantum dynamics of two-level systems under classical oscillator heat bath is mapped to the classical one of a charged particle under harmonic oscillator potential plus a magnetic field in a plane. The behavior of eigenstates and tunneling and localization are studied in detail. The broken symmetry condition and Langevin-like dissipative equation of motion are obtained. Some special dynamic features are considered.