Pinning quantum phase transition in a Tonks-Girardeau gas: Diagnostics by ground-state fidelity and the Loschmidt echo

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dc.contributor.authorLelas, K.
dc.contributor.authorSeva, T.
dc.contributor.authorBuljan, H.
dc.contributor.authorGoold, John
dc.contributor.funderMinistry of Science and Technology, Croatia
dc.contributor.funderCroatian-Israeli project cooperation
dc.contributor.funderHrvatska Zaklada za Znanost
dc.contributor.funderFP7 People: Marie-Curie Actions
dc.date.accessioned2017-08-22T10:30:36Z
dc.date.available2017-08-22T10:30:36Z
dc.date.issued2012
dc.description.abstractWe study the pinning quantum phase transition in a Tonks-Girardeau gas, both in equilibrium and out of equilibrium, using the ground-state fidelity and the Loschmidt echo as diagnostic tools. The ground-state fidelity will have a dramatic decrease when the atomic density approaches the commensurate density of one particle per lattice well. This decrease is a signature of the pinning transition from the Tonks to the Mott insulating phase. We study the applicability of the fidelity for diagnosing the pinning transition in experimentally realistic scenarios. We find that fidelity can predict the particle number(s) at which the pinning occurs. In addition, we explore the out-of-equilibrium dynamics of the gas following a sudden quench with a lattice potential. We find that all properties of the ground-state fidelity are reflected in the Loschmidt echo dynamics, i.e., in the nonequilibrium dynamics of the Tonks-Girardeau gas initiated by a sudden quench of the lattice potential.en
dc.description.sponsorshipMinistry of Science and Technology, Croatia (119-0000000-1015)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid33620
dc.identifier.citationLelas, K., Å eva, T., Buljan, H. and Goold, J. (2012) 'Pinning quantum phase transition in a Tonks-Girardeau gas: Diagnostics by ground-state fidelity and the Loschmidt echo', Physical Review A, 86(3), 033620 (12pp). doi: 10.1103/PhysRevA.86.033620en
dc.identifier.doi10.1103/PhysRevA.86.033620
dc.identifier.issn2469-9926
dc.identifier.issn2469-9934
dc.identifier.issued3
dc.identifier.journaltitlePhysical Review Aen
dc.identifier.urihttps://hdl.handle.net/10468/4496
dc.identifier.volume86
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.projectinfo:eu-repo/grantAgreement/EC/FP7::SP3::PEOPLE/229520/EU/IRCSET International Mobility Fellowships in Science Engineering and Technology: co-funded by Marie Curie Actions/INSPIRE
dc.relation.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.033620
dc.rights© 2012, American Physical Societyen
dc.subjectSystemsen
dc.subjectInterferenceen
dc.subjectDynamicsen
dc.subjectBosonsen
dc.titlePinning quantum phase transition in a Tonks-Girardeau gas: Diagnostics by ground-state fidelity and the Loschmidt echoen
dc.typeArticle (peer-reviewed)en
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