Breathing mode collective excitation of a Bose–Einstein condensate in a low-dimensional trap

2003 ◽  
Vol 329-333 ◽  
pp. 44-46 ◽  
Author(s):  
Takashi Kimura
Keyword(s):  
Collective Excitation ◽  
Einstein Condensate ◽  
Breathing Mode ◽  
Bose Einstein Condensate ◽  
Low Dimensional ◽  
Bose Einstein

scholarly journals Breathing mode of a Bose-Einstein condensate repulsively interacting with a fermionic reservoir

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Bo Huang ◽  
Isabella Fritsche ◽  
Rianne S. Lous ◽  
Cosetta Baroni ◽  
Jook T. M. Walraven ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Breathing Mode ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length

2010 ◽  
Vol 81 (5) ◽  
Author(s):  
S. E. Pollack ◽  
D. Dries ◽  
R. G. Hulet ◽  
K. M. F. Magalhães ◽  
E. A. L. Henn ◽  
...  
Keyword(s):  
Collective Excitation ◽  
Scattering Length ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Atomic Scattering ◽  
Bose Einstein

scholarly journals Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime

2016 ◽  
Vol 30 (22) ◽  
pp. 1650307 ◽  
Author(s):  
Elías Castellanos
Keyword(s):  
Ground State ◽  
Size Effects ◽  
Finite Size ◽  
Einstein Condensate ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Low Dimensional ◽  
Bose Einstein

We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

scholarly journals Anharmonicity-induced criticality of collective excitation in a trapped Bose–Einstein condensate

2018 ◽  
Vol 32 (31) ◽  
pp. 1850345
Author(s):  
Qun Wang ◽  
Bo Xiong
Keyword(s):  
Collective Mode ◽  
Collective Excitation ◽  
Einstein Condensate ◽  
Low Energy ◽  
Many Body ◽  
Bose Einstein Condensate ◽  
Large Numbers ◽  
Many Body Systems ◽  
Repulsive Forces ◽  
Bose Einstein

We investigate the low-energy excitations of a dilute atomic Bose gas confined in a anharmonic trap interacting with repulsive forces. The dispersion law of both surface and compression modes is derived and analyzed for large numbers of atoms in the trap, which show two branches of excitation and appear two critical values, where one of them indicates collective excitation which would be unstable dynamically, and the other one indicates the existing collective mode with lower frequency under anharmonic influence than that in harmonic trapping case. Our work reveals the key role played by the anharmonicity and interatomic forces which introduce a rich structure in the dynamic behavior of these new many-body systems.

scholarly journals Transverse Breathing Mode of an Elongated Bose-Einstein Condensate

2002 ◽  
Vol 88 (25) ◽  
Author(s):  
F. Chevy ◽  
V. Bretin ◽  
P. Rosenbusch ◽  
K. W. Madison ◽  
J. Dalibard
Keyword(s):  
Einstein Condensate ◽  
Breathing Mode ◽  
Bose Einstein Condensate ◽  
Bose Einstein
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