Artículo
Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases
Fecha de publicación:
08/2023
Editorial:
American Physical Society
Revista:
Physical Review A
ISSN:
2469-9926
e-ISSN:
2469-9934
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We study the nucleation and dynamics of vortices in rotating lattice potentials where weakly linked condensates are formed with each condensate exhibiting an almost axial symmetry. Due to such a symmetry, the on-site phases acquire a linear dependence on the coordinates as a result of the rotation, which allows us to predict the position of vortices along the low-density paths that separate the sites. We first show that, for a system of atoms loaded in a four-site square lattice potential, subject to a constant rotation frequency, the analytical expression that we obtain for the positions of vortices of the stationary arrays accurately reproduces the full three-dimensional Gross-Pitaevskii results. We then study the time-dependent vortex nucleation process when a linear ramp of the rotation frequency is applied to a lattice with 16 sites. We develop a formula for the number of nucleated vortices which turns out to have a linear dependence on the rotation frequency with a smaller slope than that of the standard estimate which is valid in the absence of the lattice. From time-dependent Gross-Pitaevskii simulations we further find that the on-site populations remain almost constant during the time evolution instead of spreading outwards, as expected from the action of the centrifugal force. Therefore, the time-dependent phase difference between neighboring sites acquires a running behavior typical of a self-trapping regime. We finally show that, in accordance with our predictions, this fast phase-difference evolution provokes a rapid vortex motion inside the lattice. Our analytical expressions may be useful for describing other vortex processes in systems with the same on-site axial symmetry.
Palabras clave:
VORTEX
,
NUCLEATION
,
ROTATING LATTICE
,
BOSE-EINSTEIN CONDENSATE
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Articulos(IFIBA)
Articulos de INST.DE FISICA DE BUENOS AIRES
Articulos de INST.DE FISICA DE BUENOS AIRES
Citación
Jezek, Dora Marta; Capuzzi, Pablo; Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases; American Physical Society; Physical Review A; 108; 2; 8-2023; 1-16
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