Phase fluctuations of a Bose-Einstein condensate in low-dimensional geometry

2005 ◽  
Vol 72 (1) ◽  
Author(s):  
Demascoth Kadio ◽  
Mariusz Gajda ◽  
Kazimierz Rzążewski
Keyword(s):  
Einstein Condensate ◽  
Phase Fluctuations ◽  
Bose Einstein Condensate ◽  
Low Dimensional ◽  
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 ON MATHEMATICAL MODELS FOR BOSE–EINSTEIN CONDENSATES IN OPTICAL LATTICES

2009 ◽  
Vol 21 (02) ◽  
pp. 229-278 ◽  
Author(s):  
AMANDINE AFTALION ◽  
BERNARD HELFFER
Keyword(s):  
Optical Lattices ◽  
Periodic Potential ◽  
Einstein Condensate ◽  
Energy Functionals ◽  
Bose Einstein Condensate ◽  
Physics Literature ◽  
Linear Problems ◽  
Low Dimensional ◽  
Bose Einstein ◽  
And Control

Our aim is to analyze the various energy functionals appearing in the physics literature and describing the behavior of a Bose–Einstein condensate in an optical lattice. We want to justify the use of some reduced models and control the error of approximation. For that purpose, we will use the semi-classical analysis developed for linear problems related to the Schrödinger operator with periodic potential or multiple wells potentials. We justify, in some asymptotic regimes, the reduction to low dimensional problems and analyze the reduced problems.

scholarly journals Dynamic phase fluctuations in potential-driven Bose–Einstein condensate

2020 ◽  
Vol 22 (1) ◽  
pp. 013046
Author(s):  
Decheng Ma ◽  
Vladimir Koval ◽  
Chenglong Jia
Keyword(s):  
Einstein Condensate ◽  
Phase Fluctuations ◽  
Bose Einstein Condensate ◽  
Dynamic Phase ◽  
Bose Einstein

scholarly journals MOMENTUM SPECTROSCOPY OF PHASE FLUCTUATIONS OF AN ELONGATED BOSE-EINSTEIN CONDENSATE

2004 ◽  
Author(s):  
A. ASPECT ◽  
S. RICHARD ◽  
F. GERBIER ◽  
M. HUGBART ◽  
J. RETTER ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Phase Fluctuations ◽  
Bose Einstein Condensate ◽  
Bose Einstein
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