TY - JOUR
T1 - The Timescales of Quantum Breaking
AU - Michel, Marco
AU - Zell, Sebastian
N1 - Funding Information:
The authors thank Gia Dvali, Rina Kanamoto and Hiroki Saito for extremely useful discussions and insightful feedback. The authors are grateful to Michael Gedalin and Shira Chapman for granting us access to their HPC resources. The work of M.M. was supported by a Minerva Fellowship of the Minerva Stiftung Gesellschaft für die Forschung mbH and in part by the Israel Science Foundation (grant No. 741/20) and by the German Research Foundation through a German‐Israeli Project Cooperation (DIP) grant “Holography and the Swampland”. S.Z. acknowledges support of the Fonds de la Recherche Scientifique ‐ FNRS.
Publisher Copyright:
© 2023 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH.
PY - 2023/1/1
Y1 - 2023/1/1
N2 - Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break-time (Formula presented.). We aim to find criteria for determining (Formula presented.). To this end, we construct a new prototype model that features numerous dynamically accessible quantum modes. Using explicit numerical time evolution, we establish how (Formula presented.) depends on the parameters of the system such as its particle number N. The presence of a classical instability leads to (Formula presented.) or (Formula presented.). In the stable case, we observe (Formula presented.), although full quantum breaking may not take place at all. We find that the different regimes merge smoothly with (Formula presented.) ((Formula presented.)). As an outlook, we point out possibilities for transferring our results to black holes and expanding spacetimes.
AB - Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break-time (Formula presented.). We aim to find criteria for determining (Formula presented.). To this end, we construct a new prototype model that features numerous dynamically accessible quantum modes. Using explicit numerical time evolution, we establish how (Formula presented.) depends on the parameters of the system such as its particle number N. The presence of a classical instability leads to (Formula presented.) or (Formula presented.). In the stable case, we observe (Formula presented.), although full quantum breaking may not take place at all. We find that the different regimes merge smoothly with (Formula presented.) ((Formula presented.)). As an outlook, we point out possibilities for transferring our results to black holes and expanding spacetimes.
KW - analogue gravity
KW - breakdown of classicality
KW - exact quantum dynamics
KW - quantum chaotic systems
KW - quantum simulation
UR - http://www.scopus.com/inward/record.url?scp=85168367584&partnerID=8YFLogxK
U2 - 10.1002/prop.202300163
DO - 10.1002/prop.202300163
M3 - Article
AN - SCOPUS:85168367584
SN - 0015-8208
JO - Fortschritte der Physik
JF - Fortschritte der Physik
ER -