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Ubiquitous Quantum Scarring Does Not Prevent Ergodicity by Pilatowsky-Cameo, Saúl (author);Villaseñor, David (author);Bastarrachea-Magnani, Miguel A. (author);Lerma-Hernández, Sergio (author);Santos, Lea F. (author);Hirsch, Jorge G. (author) is a Biochemistry, Genetics and Molecular Biology article available to read on EtoBox.
What is Ubiquitous Quantum Scarring Does Not Prevent Ergodicity about?
## Abstract In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any point of the available phase space after a long time, filling it uniformly. Using Born’s rules to connect quantum states with probabilities, one might then expect that all quantum states in the chaotic regime should be uniformly distributed in phase space. This simplified picture was shaken by the discovery of quantum scarring, where some eigenstates are concentrated along unstable periodic orbits. Despite that, it is widely accepted that most eigenstates of chaotic models are indeed ergodic. Our results show instead that all eigenstates of the chaotic Dicke model are actually scarred. They also show that even the most random states of this interacting atom-photon system never occupy more than half of the available phase space. Quantum ergodicity is achievable only as an ensemble property, after temporal averages are performed.
Who reads Ubiquitous Quantum Scarring Does Not Prevent Ergodicity?
It is typically read by researchers, students, and practitioners in Biochemistry, Genetics and Molecular Biology.
- Author
- Pilatowsky-Cameo, Saúl (author);Villaseñor, David (author);Bastarrachea-Magnani, Miguel A. (author);Lerma-Hernández, Sergio (author);Santos, Lea F. (author);Hirsch, Jorge G. (author)
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Biochemistry, Genetics and Molecular Biology (Life Sciences)