Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice

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We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fou...

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Autor principal:	Calzetta, Esteban Adolfo
Publicado:	2006
Materias:	Approximation theory Crystal lattices Fourier transforms Insulating materials Interpolation Perturbation techniques Bogoliubov approximation Bose-Einstein-condensation superfluid-Mott-insulator transition Strong-coupling perturbation theory Superfluid helium
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n2_p_Calzetta http://hdl.handle.net/20.500.12110/paper_10502947_v73_n2_p_Calzetta
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10502947_v73_n2_p_Calzetta
record_format	dspace
spelling	paper:paper_10502947_v73_n2_p_Calzetta2023-06-08T16:02:20Z Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice Calzetta, Esteban Adolfo Approximation theory Crystal lattices Fourier transforms Insulating materials Interpolation Perturbation techniques Bogoliubov approximation Bose-Einstein-condensation superfluid-Mott-insulator transition Strong-coupling perturbation theory Superfluid helium We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fourier transform, the momentum distribution which is directly obtainable from "time-of-flight" measurements. The expected number of particles with zero momentum may be identified with the condensate population if it is close to the total number of particles. Our main result is an analytic expression for this observable, interpolating between the known results valid for the two regimes separately: the standard Bogoliubov approximation valid in the superfluid regime and the strong-coupling perturbation theory valid in the Mott regime. © 2006 The American Physical Society. Fil:Calzetta, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n2_p_Calzetta http://hdl.handle.net/20.500.12110/paper_10502947_v73_n2_p_Calzetta
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Approximation theory Crystal lattices Fourier transforms Insulating materials Interpolation Perturbation techniques Bogoliubov approximation Bose-Einstein-condensation superfluid-Mott-insulator transition Strong-coupling perturbation theory Superfluid helium
spellingShingle	Approximation theory Crystal lattices Fourier transforms Insulating materials Interpolation Perturbation techniques Bogoliubov approximation Bose-Einstein-condensation superfluid-Mott-insulator transition Strong-coupling perturbation theory Superfluid helium Calzetta, Esteban Adolfo Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
topic_facet	Approximation theory Crystal lattices Fourier transforms Insulating materials Interpolation Perturbation techniques Bogoliubov approximation Bose-Einstein-condensation superfluid-Mott-insulator transition Strong-coupling perturbation theory Superfluid helium
description	We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fourier transform, the momentum distribution which is directly obtainable from "time-of-flight" measurements. The expected number of particles with zero momentum may be identified with the condensate population if it is close to the total number of particles. Our main result is an analytic expression for this observable, interpolating between the known results valid for the two regimes separately: the standard Bogoliubov approximation valid in the superfluid regime and the strong-coupling perturbation theory valid in the Mott regime. © 2006 The American Physical Society.
author	Calzetta, Esteban Adolfo
author_facet	Calzetta, Esteban Adolfo
author_sort	Calzetta, Esteban Adolfo
title	Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_short	Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_full	Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_fullStr	Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_full_unstemmed	Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_sort	bose-einstein-condensate superfluid-mott-insulator transition in an optical lattice
publishDate	2006
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n2_p_Calzetta http://hdl.handle.net/20.500.12110/paper_10502947_v73_n2_p_Calzetta
work_keys_str_mv	AT calzettaestebanadolfo boseeinsteincondensatesuperfluidmottinsulatortransitioninanopticallattice
_version_	1768544969357787136

Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice

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