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Abstract:

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.

Registro:

Documento: Artículo
Título:Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
Autor:Cataldo, H.M.; Jezek, D.M.
Filiación:IFIBA-CONICET and Departamento de Física, FCEN-UBA Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave: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
Año:2011
Volumen:84
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.84.013602
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v84_n1_p_Cataldo

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Citas:

---------- APA ----------
Cataldo, H.M. & Jezek, D.M. (2011) . Bose-Hubbard model in a ring-shaped optical lattice with high filling factors. Physical Review A - Atomic, Molecular, and Optical Physics, 84(1).
http://dx.doi.org/10.1103/PhysRevA.84.013602
---------- CHICAGO ----------
Cataldo, H.M., Jezek, D.M. "Bose-Hubbard model in a ring-shaped optical lattice with high filling factors" . Physical Review A - Atomic, Molecular, and Optical Physics 84, no. 1 (2011).
http://dx.doi.org/10.1103/PhysRevA.84.013602
---------- MLA ----------
Cataldo, H.M., Jezek, D.M. "Bose-Hubbard model in a ring-shaped optical lattice with high filling factors" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 84, no. 1, 2011.
http://dx.doi.org/10.1103/PhysRevA.84.013602
---------- VANCOUVER ----------
Cataldo, H.M., Jezek, D.M. Bose-Hubbard model in a ring-shaped optical lattice with high filling factors. Phys Rev A. 2011;84(1).
http://dx.doi.org/10.1103/PhysRevA.84.013602