Pointer states and quantum Darwinism with 2-body interactions

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https://www.mdpi.com/1099-4300/25/12/1573

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https://doi.org/10.3390/e25121573
 http://hdl.handle.net/11603/29896

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UMBC Physics Department
UMBC Faculty Collection

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Author/Creator ORCID

https://orcid.org/0000-0003-0504-6932

Date

2023-11-22

Type of Work

journal articles
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Citation of Original Publication

Duruisseau, Paul, Akram Touil, and Sebastian Deffner. “Pointer States and Quantum Darwinism with Two-Body Interactions.” Entropy 25, no. 12 (December 2023): 1573. https://doi.org/10.3390/e25121573.

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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract

Quantum Darwinism explains the emergence of classical objectivity within a quantum universe. However, to date, most research on quantum Darwinism has focused on specific models and their stationary properties. To further our understanding of the quantum-to-classical transition, it appears desirable to identify the general criteria a Hamiltonian has to fulfill to support classical reality. To this end, we categorize all N-qubit models with two-body interactions, and show that only those with separable interaction of the system and environment can support a pointer basis. We further demonstrate that “perfect” quantum Darwinism can only emerge if there are no intra-environmental interactions. Our analysis is complemented by solving the ensuing dynamics. We find that in systems exhibiting information scrambling, the dynamical emergence of classical objectivity directly competes with the non-local spread of quantum correlations. Our rigorous findings are illustrated through the numerical analysis of four representative models.