Phase transition of the dissipative double-well quantum mechanics

TL;DR

This paper studies how dissipation affects the quantum behavior of a double-well system, using renormalization techniques to identify critical points and phase transitions.

Contribution

It introduces a novel application of block decimation RG and finite range scaling to analyze dissipation-induced phase transitions in double-well quantum mechanics.

Findings

Critical dissipation values for various parameters identified

Effective Ising models successfully describe the system

Numerical results support phase transition existence

Abstract

We investigate the critical dissipation of the double-well quantum mechanics. We adopt two-state approximation to define effective Ising models and apply the block decimation renormalization group and the finite range scaling method recently proposed for the long range Ising model. We briefly report the numerical results of the critical dissipation for various model parameters.