Pointer States and Quantum Darwinism with Two-Body Interactions
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/12/1573 |
| _version_ | 1797381211915550720 |
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| author | Paul Duruisseau Akram Touil Sebastian Deffner |
| author_facet | Paul Duruisseau Akram Touil Sebastian Deffner |
| author_sort | Paul Duruisseau |
| collection | DOAJ |
| description | 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 <i>N</i>-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. |
| first_indexed | 2024-03-08T20:48:06Z |
| format | Article |
| id | doaj.art-cb8a5dc09edf4e2abac7e553a64ad6b4 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-08T20:48:06Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-cb8a5dc09edf4e2abac7e553a64ad6b42023-12-22T14:07:13ZengMDPI AGEntropy1099-43002023-11-012512157310.3390/e25121573Pointer States and Quantum Darwinism with Two-Body InteractionsPaul Duruisseau0Akram Touil1Sebastian Deffner2ENS Paris-Saclay, 91190 Gif-sur-Yvette, FranceTheoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USADepartment of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USAQuantum 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 <i>N</i>-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.https://www.mdpi.com/1099-4300/25/12/1573quantum Darwinismdecoherence |
| spellingShingle | Paul Duruisseau Akram Touil Sebastian Deffner Pointer States and Quantum Darwinism with Two-Body Interactions Entropy quantum Darwinism decoherence |
| title | Pointer States and Quantum Darwinism with Two-Body Interactions |
| title_full | Pointer States and Quantum Darwinism with Two-Body Interactions |
| title_fullStr | Pointer States and Quantum Darwinism with Two-Body Interactions |
| title_full_unstemmed | Pointer States and Quantum Darwinism with Two-Body Interactions |
| title_short | Pointer States and Quantum Darwinism with Two-Body Interactions |
| title_sort | pointer states and quantum darwinism with two body interactions |
| topic | quantum Darwinism decoherence |
| url | https://www.mdpi.com/1099-4300/25/12/1573 |
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