Ubiquitous quantum scarring does not prevent ergodicity
| Autor: | Miguel A. Bastarrachea-Magnani, David Villaseñor, Saúl Pilatowsky-Cameo, Lea F. Santos, Jorge G. Hirsch, Sergio Lerma-Hernández |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Mathematics::Dynamical Systems
Science Chaotic FOS: Physical sciences General Physics and Astronomy 01 natural sciences General Biochemistry Genetics and Molecular Biology Article 010305 fluids & plasmas Quantum state 0103 physical sciences Ergodic theory Statistical physics 010306 general physics Quantum Eigenvalues and eigenvectors Condensed Matter - Statistical Mechanics Physics Quantum Physics Multidisciplinary Statistical Mechanics (cond-mat.stat-mech) Ergodicity General Chemistry Nonlinear Sciences - Chaotic Dynamics Nonlinear Sciences::Chaotic Dynamics Phase space Quantum ergodicity Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) |
| Zdroj: | Nature Communications, Vol 12, Iss 1, Pp 1-8 (2021) Nature Communications Pilatowsky-Cameo, S, Villaseñor, D, Bastarrachea-Magnani, M A, Lerma-Hernández, S, Santos, L F & Hirsch, J G 2021, ' Ubiquitous quantum scarring does not prevent ergodicity ', Nature Communications, vol. 12, 852 . https://doi.org/10.1038/s41467-021-21123-5 |
| ISSN: | 2041-1723 |
| Popis: | 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 of 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. As published. 10 pages, 3 figures (main); 5 pages, 3 figures (supplementary information) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|