Nos\'e-Hoover Dynamics in Quantum Phase Space

TL;DR

This paper introduces a quantum Nosé-Hoover dynamics framework in phase space to model thermal fluctuations in time-dependent quantum systems, extending Wigner's phase space formulation with a generalized Moyal bracket.

Contribution

It presents a novel generalization of Nosé-Hoover dynamics for quantum phase space using the Moyal bracket, enabling better simulation of thermal effects in quantum processes.

Findings

Formal development of quantum Nosé-Hoover dynamics

Discussion of computational applications

Theoretical insights into quantum thermal fluctuations

Abstract

Thermal fluctuations in time-dependent quantum processes are treated by a constant-temperature generalization of Wigner's formulation of quantum mechanics in phase space. To this end, quantum Nos\`e-Hoover dynamics is defined by generalizing the Moyal bracket. Computational applications of the formalism, together with further theoretical developments, are discussed.