Bose-Hubbard model in a ring-shaped optical lattice with high filling factors

The high-barrier quantum tunneling regime of a Bose-Einstein condensate confined in a ring-shaped optical lattice is investigated. By means of a change of basis transformation, connecting the set of "vortex" Bloch states and a Wannier-like set of localized wave functions, we derive a gener...

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Autores principales: Cataldo, H.M., Jezek, D.M.
Formato: JOUR
Materias:
Bloch state
Bose Hubbard model
Bose-Einstein condensates
Bose-Hubbard Hamiltonian
Change of basis
Filling factor
Hopping rate
Lattice sites
Level crossing
Localized wave functions
Quantum tunneling
Ring-shaped optical lattices
Tunneling process
Crystal lattices
Filling
Hamiltonians
Hubbard model
Optical materials
Statistical mechanics
Steam condensers
Ionic conduction
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v84_n1_p_Cataldo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_10502947_v84_n1_p_Cataldo2023-10-03T16:00:10Z Bose-Hubbard model in a ring-shaped optical lattice with high filling factors Cataldo, H.M. Jezek, D.M. Bloch state Bose Hubbard model Bose-Einstein condensates Bose-Hubbard Hamiltonian Change of basis Filling factor Hopping rate Lattice sites Level crossing Localized wave functions Quantum tunneling Ring-shaped optical lattices Tunneling process Crystal lattices Filling Hamiltonians Hubbard model Optical materials Statistical mechanics Steam condensers Ionic conduction The high-barrier quantum tunneling regime of a Bose-Einstein condensate confined in a ring-shaped optical lattice is investigated. By means of a change of basis transformation, connecting the set of "vortex" Bloch states and a Wannier-like set of localized wave functions, we derive a generalized Bose-Hubbard Hamiltonian. In addition to the usual hopping rate terms, such a Hamiltonian takes into account interaction-driven tunneling processes, which are shown to play a principal role at high filling factors, when the standard hopping rate parameter turns out to be negative. By calculating the energy and atomic current of a Bloch state, we show that such a hopping rate must be replaced by an effective hopping rate parameter containing the additional contribution an interaction-driven hopping rate. Such a contribution turns out to be crucial at high filling factors, since it preserves the positivity of the effective hopping rate parameter. Level crossings between the energies per particle of a Wannier-like state and the superfluid ground state are interpreted as a signature of the transition to configurations with macroscopically occupied states at each lattice site. © 2011 American Physical Society. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Jezek, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v84_n1_p_Cataldo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Bloch state
Bose Hubbard model
Bose-Einstein condensates
Bose-Hubbard Hamiltonian
Change of basis
Filling factor
Hopping rate
Lattice sites
Level crossing
Localized wave functions
Quantum tunneling
Ring-shaped optical lattices
Tunneling process
Crystal lattices
Filling
Hamiltonians
Hubbard model
Optical materials
Statistical mechanics
Steam condensers
Ionic conduction
spellingShingle Bloch state
Bose Hubbard model
Bose-Einstein condensates
Bose-Hubbard Hamiltonian
Change of basis
Filling factor
Hopping rate
Lattice sites
Level crossing
Localized wave functions
Quantum tunneling
Ring-shaped optical lattices
Tunneling process
Crystal lattices
Filling
Hamiltonians
Hubbard model
Optical materials
Statistical mechanics
Steam condensers
Ionic conduction
Cataldo, H.M.
Jezek, D.M.
Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
topic_facet Bloch state
Bose Hubbard model
Bose-Einstein condensates
Bose-Hubbard Hamiltonian
Change of basis
Filling factor
Hopping rate
Lattice sites
Level crossing
Localized wave functions
Quantum tunneling
Ring-shaped optical lattices
Tunneling process
Crystal lattices
Filling
Hamiltonians
Hubbard model
Optical materials
Statistical mechanics
Steam condensers
Ionic conduction
description The high-barrier quantum tunneling regime of a Bose-Einstein condensate confined in a ring-shaped optical lattice is investigated. By means of a change of basis transformation, connecting the set of "vortex" Bloch states and a Wannier-like set of localized wave functions, we derive a generalized Bose-Hubbard Hamiltonian. In addition to the usual hopping rate terms, such a Hamiltonian takes into account interaction-driven tunneling processes, which are shown to play a principal role at high filling factors, when the standard hopping rate parameter turns out to be negative. By calculating the energy and atomic current of a Bloch state, we show that such a hopping rate must be replaced by an effective hopping rate parameter containing the additional contribution an interaction-driven hopping rate. Such a contribution turns out to be crucial at high filling factors, since it preserves the positivity of the effective hopping rate parameter. Level crossings between the energies per particle of a Wannier-like state and the superfluid ground state are interpreted as a signature of the transition to configurations with macroscopically occupied states at each lattice site. © 2011 American Physical Society.
format JOUR
author Cataldo, H.M.
Jezek, D.M.
author_facet Cataldo, H.M.
Jezek, D.M.
author_sort Cataldo, H.M.
title Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
title_short Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
title_full Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
title_fullStr Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
title_full_unstemmed Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
title_sort bose-hubbard model in a ring-shaped optical lattice with high filling factors
url http://hdl.handle.net/20.500.12110/paper_10502947_v84_n1_p_Cataldo
work_keys_str_mv AT cataldohm bosehubbardmodelinaringshapedopticallatticewithhighfillingfactors
AT jezekdm bosehubbardmodelinaringshapedopticallatticewithhighfillingfactors
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