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dc.contributor.author	L.A. González-García
dc.contributor.author	R.A. Zamora-Zamora
dc.contributor.author	R. Paredes
dc.creator	L.A. González-García
dc.creator	R.A. Zamora-Zamora
dc.creator	R. Paredes
dc.date	2011
dc.date.accessioned	2016-03-16T17:17:36Z
dc.date.available	2016-03-16T17:17:36Z
dc.identifier	http://www.redalyc.org/articulo.oa?id=57021109014
dc.identifier.uri	http://hdl.handle.net/20.500.11799/39374
dc.description	We investigate the thermodynamic properties of a bosonic Josephson junction in the full quantum approach and, in particular, we concentrate in studying the thermal averages of one- and two-body properties below and above the transition from delocalized to self-trapped regimes. This temperature dependence is determined by using the fact that at equilibrium the microcanonical and canonical ensembles should be equivalent. To establish the robustness of the equilibrium state, we first study a one body property and show numerically that any arbitrary state localized in energy, when evolved, reaches a stationary or equilibrium state. Comparison among averages of one- and two-body properties in the microcanonical and canonical ensembles reveals discrepances, thus leading to non-equivalence among these ensembles. Such averages differences can be attributed to the fact that the Hilbert space of the system scales as its size N, and consequently, the entropy does not scale as N. We further find as a natural consequence of studying the finite bosonic Josephson junction in the two-mode Bose Hubbard context, that positive and negative temperatures are obtained. This result can be generalized for any finite optical lattice.
dc.format	application/pdf
dc.language	eng
dc.publisher	Sociedad Mexicana de Física A.C.
dc.relation	http://www.redalyc.org/revista.oa?id=570
dc.rights	openAcess
dc.rights	Revista Mexicana de Física
dc.source	Revista Mexicana de Física (México) Num.4 Vol.57
dc.subject	Física, Astronomía y Matemáticas
dc.subject	Josephson effect
dc.subject	bosonic Josephson junction
dc.subject	quantum ensemble theory
dc.title	Non-equivalence of the microcanonical and canonical ensembles in a bosonic Josephson junction
dc.type	Artículo
dc.provenance	Científica
dc.road	Dorada

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