Stochastic Thermodynamics of Quantum-Induced Stochastic Dynamics

TL;DR

This paper develops a thermodynamic framework for quantum-induced stochastic dynamics, describing heat, work, and entropy in systems coupled to quantum environments that act as dynamic baths, with applications to optomechanical setups.

Contribution

It introduces a novel thermodynamic theory for semi-classical systems interacting with quantum environments, including a modified Second Law accounting for quantum features.

Findings

Formulated a thermodynamic framework for quantum-induced stochastic dynamics.

Derived a modified Second Law incorporating quantum effects like squeezing.

Applied the theory to an optomechanical system with non-stationary noise.

Abstract

Quantum-Induced Stochastic Dynamics arises from the coupling between a classical system and a quantum environment. Unlike standard thermal reservoirs, this environment acts as a dynamic bath, capable of simultaneously exchanging heat and performing work. We formulate a thermodynamic framework for this semi-classical regime, defining heat, work, and entropy production. We derive a modified Second Law that accounts for non-equilibrium quantum features, such as squeezing. The framework is exemplified by an optomechanical setup, where we characterize the thermodynamics of the non-stationary noise induced by the cavity field.