Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice

We study the winding-number dependence of the stationary states of a Bose-Einstein condensate in a ring-shaped lattice. The system is obtained by confining atoms in a toroidal trap with equally spaced radial barriers. We calculate the energy and angular momentum as functions of the winding number an...

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Autores principales:	Jezek, D.M., Cataldo, H.M.
Formato:	JOUR
Materias:	Barrier heights Bose-Einstein condensates Lattice sites Particle numbers Quadratic dependence Sinusoidal functions Stationary state Toroidal trap Vortex state Winding number Angular momentum Statistical mechanics Steam condensers Winding
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10502947_v83_n1_p_Jezek
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_10502947_v83_n1_p_Jezek
record_format	dspace
spelling	todo:paper_10502947_v83_n1_p_Jezek2023-10-03T16:00:08Z Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice Jezek, D.M. Cataldo, H.M. Barrier heights Bose-Einstein condensates Lattice sites Particle numbers Quadratic dependence Sinusoidal functions Stationary state Toroidal trap Vortex state Winding number Angular momentum Statistical mechanics Steam condensers Winding We study the winding-number dependence of the stationary states of a Bose-Einstein condensate in a ring-shaped lattice. The system is obtained by confining atoms in a toroidal trap with equally spaced radial barriers. We calculate the energy and angular momentum as functions of the winding number and the barrier height for two quite distinct particle numbers. In both cases we observe two clearly differentiated regimes. For low barriers, metastable vortex states are obtained up to a maximum winding number that depends on the particle number and barrier height. In this regime, the angular momentum and energy show, respectively, almost linear and quadratic dependences on the winding number. For large barrier heights, on the other hand, stationary states are obtained up to a maximum winding number that depends only on the number of lattice sites, whereas energy and angular momentum are shown to be sinusoidal functions of the winding number. © 2011 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v83_n1_p_Jezek
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Barrier heights Bose-Einstein condensates Lattice sites Particle numbers Quadratic dependence Sinusoidal functions Stationary state Toroidal trap Vortex state Winding number Angular momentum Statistical mechanics Steam condensers Winding
spellingShingle	Barrier heights Bose-Einstein condensates Lattice sites Particle numbers Quadratic dependence Sinusoidal functions Stationary state Toroidal trap Vortex state Winding number Angular momentum Statistical mechanics Steam condensers Winding Jezek, D.M. Cataldo, H.M. Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice
topic_facet	Barrier heights Bose-Einstein condensates Lattice sites Particle numbers Quadratic dependence Sinusoidal functions Stationary state Toroidal trap Vortex state Winding number Angular momentum Statistical mechanics Steam condensers Winding
description	We study the winding-number dependence of the stationary states of a Bose-Einstein condensate in a ring-shaped lattice. The system is obtained by confining atoms in a toroidal trap with equally spaced radial barriers. We calculate the energy and angular momentum as functions of the winding number and the barrier height for two quite distinct particle numbers. In both cases we observe two clearly differentiated regimes. For low barriers, metastable vortex states are obtained up to a maximum winding number that depends on the particle number and barrier height. In this regime, the angular momentum and energy show, respectively, almost linear and quadratic dependences on the winding number. For large barrier heights, on the other hand, stationary states are obtained up to a maximum winding number that depends only on the number of lattice sites, whereas energy and angular momentum are shown to be sinusoidal functions of the winding number. © 2011 American Physical Society.
format	JOUR
author	Jezek, D.M. Cataldo, H.M.
author_facet	Jezek, D.M. Cataldo, H.M.
author_sort	Jezek, D.M.
title	Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice
title_short	Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice
title_full	Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice
title_fullStr	Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice
title_full_unstemmed	Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice
title_sort	winding-number dependence of bose-einstein condensates in a ring-shaped lattice
url	http://hdl.handle.net/20.500.12110/paper_10502947_v83_n1_p_Jezek
work_keys_str_mv	AT jezekdm windingnumberdependenceofboseeinsteincondensatesinaringshapedlattice AT cataldohm windingnumberdependenceofboseeinsteincondensatesinaringshapedlattice
_version_	1782024359498481664

Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice

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