Universal Anti-Kibble-Zurek Scaling in Fully Connected Systems

Physical Review Letters
Ricardo PueblaM B Plenio


We investigate the quench dynamics of an open quantum system involving a quantum phase transition. In the isolated case, the quench dynamics involving the phase transition exhibits a number of scaling relations with the quench rate as predicted by the celebrated Kibble-Zurek mechanism. In contact with an environment however, these scaling laws break down and one may observe an anti-Kibble-Zurek behavior: slower ramps lead to less adiabatic dynamics, increasing thus nonadiabatic effects with the quench time. In contrast to previous works, we show here that such anti-Kibble-Zurek scaling can acquire a universal form in the sense that it is determined by the equilibrium critical exponents of the phase transition, provided the excited states of the system exhibit singular behavior, as observed in fully connected models. This demonstrates novel universal scaling laws granted by a system-environment interaction in a critical system. We illustrate these findings in two fully connected models, namely, the quantum Rabi and the Lipkin-Meshkov-Glick models. In addition, we discuss the impact of nonlinear ramps and finite-size systems.


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Oct 4, 2005·Physical Review Letters·Wojciech H ZurekPeter Zoller
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Oct 13, 2007·Physical Review Letters·Pedro RibeiroRémy Mosseri
Sep 4, 2008·Physical Review Letters·Diptiman SenShreyoshi Mondal
Sep 4, 2008·Physical Review Letters·Roman Barankov, Anatoli Polkovnikov
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pedro RibeiroRémy Mosseri
Nov 13, 2008·Physical Review Letters·Dario PatanèGiuseppe E Santoro
Oct 3, 2009·Science·Iulia Buluta, Franco Nori
Jan 15, 2011·Physical Review Letters·Tilman ZiboldMarkus K Oberthaler
Jul 7, 2011·Nature Communications·R IslamC Monroe
Oct 4, 2012·Physical Review Letters·Michael KolodrubetzDavid A Huse
Jul 3, 2013·Proceedings of the National Academy of Sciences of the United States of America·Ferdinand BrenneckeTilman Esslinger
Aug 8, 2013·Nature Communications·K PykaT E Mehlstäubler
Sep 13, 2013·Journal of Physics. Condensed Matter : an Institute of Physics Journal·W H Zurek
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Nov 14, 2015·Physical Review Letters·Myung-Joong HwangMartin B Plenio
Mar 12, 2016·Physical Review Letters·G NikoghosyanM B Plenio
Apr 30, 2016·Physical Review Letters·M AnquezM S Chapman
Jun 18, 2016·Physical Review Letters·Pietro SilviSimone Montangero
Mar 4, 2017·Physical Review Letters·Ricardo PueblaMartin B Plenio
Feb 6, 2018·Physical Review Letters·D TamascelliM B Plenio
Jan 5, 2019·Physical Review Letters·Nicolò DefenuGiovanna Morigi

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Sep 14, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Jia BaoBin Guo

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