Many-body ground-state properties of an attractive Bose-Einstein condensate in a one-dimensional ring

2005 ◽  
Vol 71 (6) ◽  
Author(s):  
A. Montina ◽  
F. T. Arecchi
Keyword(s):  
Ground State ◽  
Einstein Condensate ◽  
Many Body ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
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.

Dynamics and Ground State Properties of Two-component Bose-Einstein Condensate in Different Hyperfine States

2010 ◽  
Vol 161 (3-4) ◽  
pp. 334-347 ◽  
Author(s):  
Chen Liang ◽  
Kong Wei ◽  
B. J. Ye ◽  
H. M. Wen ◽  
X. Y. Zhou ◽  
...  
Keyword(s):  
Ground State ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Two Component ◽  
Bose Einstein
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