Emergence of Quantum-Classical Dynamics in an Open Quantum Environment

TL;DR

This paper investigates the conditions under which open quantum systems can be effectively described by mixed quantum-classical dynamics, focusing on decoherence processes in a coupled two-system model interacting with an environment.

Contribution

It demonstrates how certain coupled quantum systems exhibit mixed quantum-classical behavior due to decoherence effects in specific regimes.

Findings

Subsystem C loses coherence rapidly, while A maintains coherence longer.

Coupled A and C systems can effectively follow mixed quantum-classical dynamics.

Decoherence behavior depends on spectral density and coupling regimes.

Abstract

The conditions under which an open quantum mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two coupled systems, A and C, interacting with a harmonic bath with Ohmic and super-Ohmic spectral densities. Subsystem A is directly coupled to subsystem C, while C is coupled directly to the bath. Calculations are presented for a model where subsystem A is taken to be a two-level system which is bilinearly coupled to a single harmonic oscillator C subsystem. The loss of quantum coherence in each subsystem is discussed in the extreme non-adiabatic regime where the dynamics of subsystem A is essentially frozen. Subsystem C is shown to lose its coherence rapidly, while subsystem A maintains coherence for longer time periods since C modulates the influence of the bath on A. Thus, one may identify situations where the coupled AC system evolution effectively obeys mixed quantum-classical dynamics.