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Open Quantum Systems Decoherence

Thermalisation as Diffusion in Hilbert Space

arXiv
Authors: Aleksey Lunkin

Year

2026

Paper ID

28379

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

We develop a microscopic theory of thermalisation for a thermometer coupled to a many-body bath beyond standard Markovian and Fermi-golden-rule assumptions. By modeling interaction matrix elements in the non-interacting basis as independent random variables, we derive a diffusion-propagator expression for the reduced dynamics and show that relaxation is controlled by the distribution of interaction-induced level broadenings. The theory predicts a thermalisation timescale set by the inverse typical broadening and yields a non-Markovian generalization of global balance. Exact-diagonalization tests for heavy-tailed L{é}vy couplings, an all-to-all transverse-field Ising model, and the one-dimensional Imbrie model show good agreement with these predictions.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We develop a microscopic theory of thermalisation for a thermometer coupled to a many-body bath beyond standard Markovian and Fermi-golden-rule assumptions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.12234 [2] arXiv https://arxiv.org/abs/2603.12234 [3] Publisher https://arxiv.org/abs/2603.12234

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