Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/6628
Title: | Ubiquitous quantum scarring does not prevent ergodicity. |
Authors: | Santos, Lea F. Pilatowsky-Cameo, Saúl Villaseñor, David Bastarrachea-Magnani, Miguel A. Lerma-Hernández, Sergio Hirsch, Jorge G. 0000-0001-9400-2709 |
Keywords: | quantum scarring eigenstates chaotic models ergodicity |
Issue Date: | 8-Feb-2021 |
Publisher: | SpringerNature |
Citation: | Santos, L.F., Pilatowsky-Cameo, S., Villaseñor, D., Bastarrachea-Magnani, M.A. et al. Ubiquitous quantum scarring does not prevent ergodicity. Nat Commun 12, 852 (2021). https://doi.org/10.1038/s41467-021-21123-5 |
Series/Report no.: | Nature Communications;12 (852) |
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. |
Description: | Research article / Open Access |
URI: | https://www.nature.com/articles/s41467-021-21123-5 https://hdl.handle.net/20.500.12202/6628 |
ISSN: | 2041-1723 (online) |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Santos Ubiquitous quantum scarring Nat Comm Feb2021 s41467-021-21123-5.pdf | 2.1 MB | Adobe PDF | View/Open |
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