Quantum-Classical Transition in Dissipative Double-Well Systems --A Numerical Study by a New Monte Carlo Scheme--

TL;DR

This paper presents a numerical study of dissipative quantum double-well systems using an innovative Monte Carlo method, revealing how ohmic dissipation causes localization transitions across various potential barriers.

Contribution

A new Monte Carlo scheme is developed for simulating dissipative quantum systems without truncating to two states, enabling detailed analysis of localization transitions.

Findings

Localization transition induced by ohmic dissipation is numerically clarified.

The new Monte Carlo scheme improves simulation efficiency at low temperatures.

Thermodynamics of dissipative double-well systems is characterized beyond two-state models.

Abstract

Thermodynamics of dissipative quantum systems with double-well potentials is studied by the path-integral Monte Carlo (PIMC) method without truncation to the two-state model. For efficient simulation at low temperatures, we develop a new scheme of local update based on approximate decomposition of the Boltzmann weight to the Gaussian distributions. Localization transition induced by ohmic dissipation is clarified numerically for arbitrary potential barriers.