Procrastinating einselection in non-Markovian quantum dynamics
Abstract
Among the processes governed by open-system and dissipative quantum dynamics, environment-induced superselection, or einselection, is particularly foundational, since it describes the formation of a preferred set of pointer states through environmental monitoring and ultimately the emergence of classicality. Especially in the context of Quantum Darwinism, einselection can be studied in terms of the motion of an observable towards its pointer value. To this end, we derive a quantum speed limit for observables for finite-dimensional systems governed by differentiable time-local open dynamics. We identify two mechanisms through which non-Markovianity can enhance observable speed: direct dissipative motion supported by population retention or revival, and indirect enhancement through restoration of the asymmetry available for coherent motion. For permanent einselection, this delays the emergence of the pointer basis due to accumulated negativity.
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BibTeX
@misc{moody2026procrastinating,
title = {{Procrastinating einselection in non-Markovian quantum dynamics}},
author = {Michael J. Moody and Tara Kalsi and Agung Budiyono and Sebastian Deffner},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20757},
eprint = {2609.20757},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20757},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Procrastinating einselection in non-Markovian quantum dynamics
AU - Michael J. Moody
AU - Tara Kalsi
AU - Agung Budiyono
AU - Sebastian Deffner
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.20757
UR - https://arxiv.org/abs/2609.20757
AB - Among the processes governed by open-system and dissipative quantum dynamics, environment-induced superselection, or einselection, is particularly foundational, since it describes the formation of a preferred set of pointer states through environmental monitoring and ultimately the emergence of classicality. Especially in the context of Quantum Darwinism, einselection can be studied in terms of the motion of an observable towards its pointer value. To this end, we derive a quantum speed limit for observables for finite-dimensional systems governed by differentiable time-local open dynamics. We identify two mechanisms through which non-Markovianity can enhance observable speed: direct dissipative motion supported by population retention or revival, and indirect enhancement through restoration of the asymmetry available for coherent motion. For permanent einselection, this delays the emergence of the pointer basis due to accumulated negativity.
ER -