Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach

Strasberg, Philipp

doi:10.21468/SciPostPhys.15.1.024

SciPost Physics

Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach

Philipp Strasberg

SciPost Phys. 15, 024 (2023) · published 24 July 2023

doi: 10.21468/SciPostPhys.15.1.024
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Abstract

Answers to the question how a classical world emerges from underlying quantum physics are revisited, connected and extended as follows. First, three distinct concepts are compared: decoherence in open quantum systems, consistent/decoherent histories and Kolmogorov consistency. Second, the crucial role of quantum Markovianity (defined rigorously) to connect these concepts is established. Third, using a random matrix theory model, quantum effects are shown to be exponentially suppressed in the measurement statistics of slow and coarse observables despite the presence of large amount of coherences. This is also numerically exemplified, and it highlights the potential and importance of non-integrability and chaos for the emergence of classicality.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.1.024
TI  - Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach
PY  - 2023/07/24
UR  - https://scipost.org/SciPostPhys.15.1.024
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 1
SP  - 024
A1  - Strasberg, Philipp
AB  - Answers to the question how a classical world emerges from underlying quantum physics are revisited, connected and extended as follows. First, three distinct concepts are compared: decoherence in open quantum systems, consistent/decoherent histories and Kolmogorov consistency. Second, the crucial role of quantum Markovianity (defined rigorously) to connect these concepts is established. Third, using a random matrix theory model, quantum effects are shown to be exponentially suppressed in the measurement statistics of slow and coarse observables despite the presence of large amount of coherences. This is also numerically exemplified, and it highlights the potential and importance of non-integrability and chaos for the emergence of classicality.
ER  -

@Article{10.21468/SciPostPhys.15.1.024,
	title={{Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach}},
	author={Philipp Strasberg},
	journal={SciPost Phys.},
	volume={15},
	pages={024},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.1.024},
	url={https://scipost.org/10.21468/SciPostPhys.15.1.024},
}

Cited by 8

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¹ Philipp Strasberg

¹ Universitat Autònoma de Barcelona / Autonomous University of Barcelona [UAB]

Funders for the research work leading to this publication

Agencia Estatal de Investigación
European Commission [EC]
European Regional Development Fund [ERDF]
Generalitat de Catalunya / Government of Catalonia
Ministerio de Ciencia e Innovación
Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
“la Caixa” Foundation