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Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model

Fischer, Uwe; Schutzhold, Ralf; Uhlmann, Michael

Description

By means of an adapted mean-field expansion for large fillings n 1, we study the evolution of quantum fluctuations in the time-dependent Bose-Hubbard model, starting in the superfluid state and approaching the Mott phase by decreasing the tunneling rate or increasing the interaction strength in time. For experimentally relevant cases, we derive analytical results for the temporal behavior of the number and phase fluctuations, respectively. This allows us to calculate the growth of the...[Show more]

dc.contributor.authorFischer, Uwe
dc.contributor.authorSchutzhold, Ralf
dc.contributor.authorUhlmann, Michael
dc.date.accessioned2009-12-15T23:15:28Z
dc.date.accessioned2010-12-20T06:03:37Z
dc.date.available2009-12-15T23:15:28Z
dc.date.available2010-12-20T06:03:37Z
dc.identifier.citationPhysical Review A 77.4 (2008): 043615/1-10
dc.identifier.issn1050-2947
dc.identifier.issn1094-1622
dc.identifier.urihttp://hdl.handle.net/10440/1012
dc.identifier.urihttp://digitalcollections.anu.edu.au/handle/10440/1012
dc.description.abstractBy means of an adapted mean-field expansion for large fillings n 1, we study the evolution of quantum fluctuations in the time-dependent Bose-Hubbard model, starting in the superfluid state and approaching the Mott phase by decreasing the tunneling rate or increasing the interaction strength in time. For experimentally relevant cases, we derive analytical results for the temporal behavior of the number and phase fluctuations, respectively. This allows us to calculate the growth of the quantum depletion and the decay of off-diagonal long-range order. We estimate the conditions for the observability of the time dependence in the correlation functions in the experimental setups with external trapping present. Finally, we discuss the analogy to quantum effects in the early universe during the inflationary epoch.
dc.format10 pages
dc.publisherAmerican Physical Society
dc.rightshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2008 The American Physical Society
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physics
dc.source.urihttp://dx.doi.org/10.1103/PhysRevA.77.043615
dc.subjectKeywords: Charge trapping; Correlation theory; Mathematical models; Superfluid helium; Bogoliubov theory; Bose-Hubbard model; Mott phase; Quantum theory
dc.titleBogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
dc.typeJournal article
local.identifier.citationvolume77
dc.date.issued2008-04-14
local.identifier.absfor020601
local.identifier.ariespublicationu4103646xPUB91
local.type.statusPublished Version
local.contributor.affiliationFischer, Uwe, Eberhard-Karls-Universitat
local.contributor.affiliationSchutzhold, Ralf, Technische Universitat Dresden
local.contributor.affiliationUhlmann, Michael, Faculty of Science, Department of Physics
local.bibliographicCitation.issue043615
local.bibliographicCitation.startpage10
local.identifier.doi10.1103/PhysRevA.77.043615
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2015-12-08T08:39:41Z
local.identifier.scopusID2-s2.0-42149140210
CollectionsANU Research Publications

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