Ubiquitous quantum scarring does not prevent ergodicity
POSTER
Abstract
We discuss the connection between quantum scarring, localization in phase space, and ergodicity in the Dicke model. This model is used to describe interacting light-matter systems and has been realized with different AMO platforms. We show that all the eigenstates of the Dicke model in the chaotic region are scarred, although with different degrees of scarring and different levels of phase-space localization. We also explain that ergodicity is an ensemble property, achievable only through temporal averages. Therefore, scarring, localization and lack of ergodicity are not synonyms, although connections exist.
Publication: S. Pilatowsky-Cameo, D. Villaseñor, M. A. Bastarrachea-Magnani, S. Lerma-Hernández, L. F. Santos and J. G. Hirsch. Ubiquitous quantum scarring does not prevent ergodicity. Nature Communications 12, 852 (2021).
Presenters
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Miguel A Bastarrachea-Magnani
Universidad Autónoma Metropolitana Iztapalapa
Authors
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Miguel A Bastarrachea-Magnani
Universidad Autónoma Metropolitana Iztapalapa
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Saúl Pilatowsky-Cameo
Massachusetts Institute of Technology
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David Villaseñor
Universidad Nacional Autónoma de México
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Sergio A Lerma-Hernández
Universidad Veracruzana
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Lea F Santos
Yeshiva Univ, Yeshiva University, yeshiva university (USA)
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Jorge G Hirsch
Universidad Nacional Autónoma de México