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dc.contributor.authorSantos, Lea F.
dc.contributor.authorTávora, Marco
dc.contributor.authorPérez Bernal, Francisco
dc.identifier.citationSantos, L.F., Távora, M., Pérez Bernal, F.: "Excited-state quantum phase transitions in many-body systems with infinite-range interaction : localization, dynamics, and bifurcation". Physical Review A. Vol. 94, (2016). DOI: 10.1103/PhysRevA.94.012113en_US
dc.identifier.issn2469-9934 (electrónico)
dc.description.abstractExcited state quantum phase transitions (ESQPTs) are generalizations of quantum phase transitions (QPTs) to excited levels. They are associated with local divergences in the density of states. Here, we investigate how the presence of an ESQPT can be detected from the analysis of the structure of the Hamiltonian matrix, the level of localization of the eigenstates, the onset of bifurcation, and the speed of the system evolution. Our findings are illustrated for a Hamiltonian with infinite-range Ising interaction in a transverse field. This is a version of the Lipkin-Meshkov-Glick (LMG) model and the limiting case of the one-dimensional spin-1/2 system with tunable interactions realized with ion traps. From our studies for the dynamics, we uncover similarities between the LMG and the noninteracting XX models.
dc.description.sponsorshipLFS and MT were supported by the NSF grant No. DMR- 1147430. FPB was funded by MINECO grant FIS2014- 53448-C2- 2-P and by Spanish Consolider-Ingenio 2010 (CPANCSD2007- 00042). LFS and FPB thank Pedro Perez- Fernandez and Jorge Dukelsky for discussions, as well as the hospitality of Alejandro Frank and the Centro de Ciencias de la Complejidad (C3) at the UNAM in Mexico, where part of this work was carried out.en_US
dc.publisherAmerican Physical Societyen_US
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.titleExcited-state quantum phase transitions in many-body systems with infinite-range interaction : localization, dynamics, and bifurcationen_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO [FIS2014-53448-C2-2-P]

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