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Quantum properties of two-component two-sites Bose-Hubbard model

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dc.contributor Juliá-Díaz, Bruno
dc.contributor Polls Martí, Artur
dc.creator Mujal Torreblanca, Pere
dc.date 2016-06-03T13:16:03Z
dc.date 2016-06-03T13:16:03Z
dc.date 2015-06
dc.date.accessioned 2024-12-16T10:22:34Z
dc.date.available 2024-12-16T10:22:34Z
dc.identifier http://hdl.handle.net/2445/99218
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/14553
dc.description Màster Oficial en Física Avançada, , Facultat de Física, Universitat de Barcelona, Curs: 2015, Tutors: Bruno Juliá-Díaz i Artur Polls
dc.description This work contains a detailed analysis of the properties of the ground state of a two-component two-sites Bose-Hubbard model, which captures the physics of a binary mixture of Bose-Einstein condensates trapped in a double-well potential. The atom-atom interactions within each species and among the two species are taken as variable parameters while the hopping terms are kept fixed. To characterize the ground state we use observables such as the imbalance of population and its quantum uncertainty. The quantum many-body correlations present in the system are further quantified by studying the degree of condensation of each species, and the entanglement between the two species. The latter is measured by means of the Schmidt gap, the von Neumann entropy or the purity obtained after tracing out a part of the system. A number of relevant states are identified, e.g. Schrödinger catlike many-body states, in which the outcome of the population imbalance of both components is completely correlated, and other states with even larger von Neumann entropy which have a large spread in Fock space
dc.format 10 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Mujal, 2015
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights info:eu-repo/semantics/openAccess
dc.source Màster Oficial - Física Avançada
dc.subject Teoria quàntica
dc.subject Condensació de Bose-Einstein
dc.subject Treballs de fi de màster
dc.subject Quantum theory
dc.subject Bose-Einstein condensation
dc.subject Master's theses
dc.title Quantum properties of two-component two-sites Bose-Hubbard model
dc.type info:eu-repo/semantics/masterThesis


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