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.

*S.P.-C., D.V. and J.G.H. acknowledge financial support from the DGAPA- UNAM project IN104020, and SL-H from the Mexican CONACyT project CB2015-01/ 255702. LFS was supported by the NSF grant No. DMR-1936006.

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

  • Miguel A Bastarrachea-Magnani

    • Universidad Autónoma Metropolitana Iztapalapa

Authors

  • Miguel A Bastarrachea-Magnani

    • Universidad Autónoma Metropolitana Iztapalapa

  • Saúl Pilatowsky-Cameo

    • Massachusetts Institute of Technology

  • David Villaseñor

    • Universidad Nacional Autónoma de México

  • Sergio A Lerma-Hernández

    • Universidad Veracruzana

  • Lea F Santos

    • Yeshiva Univ
    • Yeshiva University
    • yeshiva university (USA)

  • Jorge G Hirsch

    • Universidad Nacional Autónoma de México