Nosé-Hoover Dynamics in Quantum Phase Space

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 Nosè-Hoover dynamics is defined by generalizing the Moyal bracket. Computational applications of the formalism, together with further theoretical developments, are discussed.

4 pages, no figures

References in corpus (7)

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Cited by in corpus (6)

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• Numerical and Analytical Approach to the Quantum Dynamics of Two Coupled Spins in Bosonic Baths
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature
• Proposal of a computational approach for simulating thermal bosonic fields in phase space
• Non-Hamiltonian modeling of squeezing and thermal disorder in driven oscillators
• Invariant tori for multi-dimensional integrable hamiltonians coupled to a single thermostat