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Open Quantum Systems Decoherence Quantum Simulation Quantum Thermodynamics Quantum Chemistry

Friction as a consistent quantum-mechanical concept

arXiv
Authors: Dmitry V. Zhdanov, Denys I. Bondar, Tamar Seideman

Year

2018

Paper ID

24324

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

A quantum analog of friction (understood as a completely positive, Markovian, translation-invariant and phenomenological model of dissipation) is known to be in odds with the detailed balance in the thermodynamic limit. We show that this is not the case for quantum systems with internal (e.g. spin) states non-adiabatically 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.

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  • A quantum analog of friction (understood as a completely positive, Markovian, translation-invariant and phenomenological model of dissipation) is known to be in odds with the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.00614 [2] arXiv https://arxiv.org/abs/1810.00614 [3] Publisher https://arxiv.org/abs/1810.00614

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