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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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  • Título
  • Non-equivalence of the microcanonical and canonical ensembles in a bosonic Josephson junction
  • Autor
  • L.A. González-García
  • R.A. Zamora-Zamora
  • R. Paredes
  • Editor
  • Sociedad Mexicana de Física A.C.
  • Tipo de documento
  • Artículo
  • Palabras clave
  • Física, Astronomía y Matemáticas
  • Josephson effect
  • bosonic Josephson junction
  • quantum ensemble theory
  • Los documentos depositados en el Repositorio Institucional de la Universidad Autónoma del Estado de México se encuentran a disposición en Acceso Abierto bajo la licencia Creative Commons: Atribución-NoComercial-SinDerivar 4.0 Internacional (CC BY-NC-ND 4.0)

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