PMID: 24484124Feb 4, 2014Paper

New dynamical scaling universality for quantum networks across adiabatic quantum phase transitions

Physical Review Letters
O L AcevedoN F Johnson

Abstract

We reveal universal dynamical scaling behavior across adiabatic quantum phase transitions in networks ranging from traditional spatial systems (Ising model) to fully connected ones (Dicke and Lipkin-Meshkov-Glick models). Our findings, which lie beyond traditional critical exponent analysis and adiabatic perturbation approximations, are applicable even where excitations have not yet stabilized and, hence, provide a time-resolved understanding of quantum phase transitions encompassing a wide range of adiabatic regimes. We show explicitly that even though two systems may traditionally belong to the same universality class, they can have very different adiabatic evolutions. This implies that more stringent conditions need to be imposed than at present, both for quantum simulations where one system is used to simulate the other and for adiabatic quantum computing schemes.

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Citations

Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pedro D ManriqueNeil F Johnson
Jan 20, 2018·Physical Review. E·Wassilij KopylovTobias Brandes
Jan 5, 2019·Physical Review Letters·Nicolò DefenuGiovanna Morigi
Mar 4, 2017·Physical Review Letters·Ricardo PueblaMartin B Plenio
Nov 14, 2015·Physical Review Letters·Myung-Joong HwangMartin B Plenio
Jul 1, 2020·Physical Review Letters·Ricardo PueblaMartin B Plenio
Aug 17, 2020·Physical Review Letters·Han-Jie ZhuWu-Ming Liu
Jul 9, 2020·Physical Review Letters·Fernando J Gómez-RuizAdolfo Del Campo
Oct 22, 2019·Physical Review Letters·Vasiliy MakhalovSylvain Nascimbene
Dec 29, 2020·Physical Review. a·Andrew Y GuoZhe-Xuan Gong
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A V SorokinT Brandes

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