Diverging equilibration times in long-range quantum spin models

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dc.contributor.authorKastner M.
dc.date.accessioned2011-10-13T16:58:38Z
dc.date.available2011-10-13T16:58:38Z
dc.date.issued2011
dc.description.abstractThe approach to equilibrium is studied for long-range quantum Ising models where the interaction strength decays like r-α at large distances r with an exponent α not exceeding the lattice dimension. For a large class of observables and initial states, the time evolution of expectation values can be calculated. We prove analytically that, at a given instant of time t and for sufficiently large system size N, the expectation value of some observable t) will practically be unchanged from its initial value (0). This finding implies that, for large enough N, equilibration effectively occurs on a time scale beyond the experimentally accessible one and will not be observed in practice. © 2011 American Physical Society.
dc.description.versionArticle
dc.identifier.citationPhysical Review Letters
dc.identifier.citation106
dc.identifier.citation13
dc.identifier.citationhttp://www.scopus.com/inward/record.url?eid=2-s2.0-79960635317&partnerID=40&md5=9b128e24ade0cfd79180520064df1efa
dc.identifier.issn319007
dc.identifier.other10.1103/PhysRevLett.106.130601
dc.identifier.urihttp://hdl.handle.net/10019.1/16799
dc.subjectApproach to equilibrium
dc.subjectEquilibration time
dc.subjectExpectation values
dc.subjectInitial state
dc.subjectInitial values
dc.subjectInteraction strength
dc.subjectLarge class
dc.subjectLarge system size
dc.subjectLattice dimensions
dc.subjectQuantum spin models
dc.subjectTime evolutions
dc.subjectTime-scales
dc.subjectIsing model
dc.titleDiverging equilibration times in long-range quantum spin models
dc.typeArticle
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