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Open Quantum Systems Decoherence

On the emergence of classical stochasticity

arXiv
Authors: Xuan Du Trinh, Ismaël Septembre, Hai-Chau Nguyen

Year

2026

Paper ID

2866

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

We examine the logical structure of the emergence of classical stochasticity for a quantum system governed by a Pauli-type master equation. It is well-known that while such equations describe the evolution of probabilities, they do not automatically justify classical reasoning based on the assumption that the system exists in a definite state at intermediate times. On the other hand, we show that this assumption is crucial for the standard calculation of stochastic times such as the persistent time and the time of first arrivals. We then consider examples of single particles, bosons, and fermions in the so-called ultradecoherence limit to illustrate how classical stochasticity may emerge from quantum mechanics.

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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 examine the logical structure of the emergence of classical stochasticity for a quantum system governed by a Pauli-type master equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.04633 [2] arXiv https://arxiv.org/abs/2602.04633 [3] Publisher https://arxiv.org/abs/2602.04633

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