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Trapped Ion Quantum Computing Quantum Thermodynamics

Quantum statistical mechanics from a Bohmian perspective

arXiv
Authors: Hrvoje Nikolic

Year

2023

Paper ID

55636

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

We develop a general formulation of quantum statistical mechanics in terms of probability currents that satisfy continuity equations in the multi-particle position space, for closed and open systems with a fixed number of particles. The continuity equation for any closed or open system suggests a natural Bohmian interpretation in terms of microscopic particle trajectories, that make the same measurable predictions as standard quantum theory. The microscopic trajectories are not directly observable, but provide a general, simple and intuitive microscopic interpretation of macroscopic phenomena in quantum statistical mechanics. In particular, we discuss how various notions of entropy, proper and improper mixtures, and thermodynamics are understood from the Bohmian perspective.

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  • We develop a general formulation of quantum statistical mechanics in terms of probability currents that satisfy continuity equations in the multi-particle position space, for...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2308.10500 [2] arXiv https://arxiv.org/abs/2308.10500 [3] Publisher https://arxiv.org/abs/2308.10500

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