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Open Quantum Systems Decoherence

Breakdown of quantum-to-classical correspondence for diffusion in high temperature thermal environment

arXiv
Authors: Dekel Shapira, Doron Cohen

Year

2020

Paper ID

22073

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We re-consider the old problem of Brownian motion in homogeneous high-temperature thermal environment. The semiclassical theory implies that the diffusion coefficient does not depend on whether the thermal fluctuations are correlated in space or disordered. We show that the corresponding quantum analysis exhibits a remarkable breakdown of quantum-to-classical correspondence. Explicit results are found for a tight binding model, within the framework of an Ohmic master equation, where we distinguish between on-site and on-bond dissipators. The breakdown is second-order in the inverse temperature, and therefore, on the quantitative side, involves an inherent ambiguity that is related to the Ohmic approximation scheme.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We re-consider the old problem of Brownian motion in homogeneous high-temperature thermal environment.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.10738 [2] arXiv https://arxiv.org/abs/2007.10738 [3] Publisher https://arxiv.org/abs/2007.10738

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