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

O. L. Acevedo, L. Quiroga, F. J. Rodríguez, Neil F Johnson

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.

Original languageEnglish (US)
Article number030403
JournalPhysical Review Letters
Volume112
Issue number3
DOIs
StatePublished - Jan 22 2014

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scaling
quantum computation
Ising model
exponents
perturbation
approximation
excitation
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

New dynamical scaling universality for quantum networks across adiabatic quantum phase transitions. / Acevedo, O. L.; Quiroga, L.; Rodríguez, F. J.; Johnson, Neil F.

In: Physical Review Letters, Vol. 112, No. 3, 030403, 22.01.2014.

Research output: Contribution to journalArticle

Acevedo, O. L. ; Quiroga, L. ; Rodríguez, F. J. ; Johnson, Neil F. / New dynamical scaling universality for quantum networks across adiabatic quantum phase transitions. In: Physical Review Letters. 2014 ; Vol. 112, No. 3.
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