Friction as a consistent quantum-mechanical concept

Dmitry V. Zhdanov, Denys I. Bondar, Tamar Seideman

Research output: Contribution to journalArticlepeer-review

Abstract

A quantum analog of friction (understood as a completely positive, Markovian, translation-invariant, phenomenological model of dissipation) is known to be at odds with detailed balance in the thermodynamic limit. We show that this is not the case for quantum systems with internal (e.g., spin) states nonadiabatically coupled to translational dynamics. For such systems, a quantum master equation is derived which phenomenologically accounts for the frictional effect of a uniform zero-temperature environment. A simple analytical example is provided. Conjectures regarding the finite-temperature case are also formulated. The results are important for efficient simulations of complex molecular dynamics and quantum reservoir engineering applications.

Original languageEnglish (US)
Article number042133
JournalPhysical Review A
Volume98
Issue number4
DOIs
StatePublished - Oct 29 2018

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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