Synergy between the negative absolute temperature and the external trap for a Bose-Einstein condensate under optical lattices

2022 ◽  
pp. 127922
Author(s):  
Nilanjan Kundu ◽  
Ajay Nath ◽  
Jayanta Bera ◽  
Suranjana Ghosh ◽  
Utpal Roy
Keyword(s):  
Optical Lattices ◽  
Einstein Condensate ◽  
Absolute Temperature ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Normal and anomalous densities in Bose–Einstein condensates with optical lattices

2014 ◽  
Vol 92 (5) ◽  
pp. 375-379 ◽  
Author(s):  
M. Bendacha ◽  
A. Boudjemâa
Keyword(s):  
Optical Lattices ◽  
Three Dimensional ◽  
Mott Insulator ◽  
Einstein Condensate ◽  
Three Dimensions ◽  
Hubbard Hamiltonian ◽  
Bose Einstein Condensate ◽  
Bogoliubov Approximation ◽  
Anomalous Density ◽  
Bose Einstein

We study the quantum phase transition from the superfluid to the Mott insulator state in two- and three-dimensional Bose–Einstein condensate with optical lattices using Bose–Hubbard Hamiltonian within the generalized Hatree–Fock–Bogoliubov approximation. The behavior of the depletion and the anomalous fraction has been investigated in the Mott insulator phase. We found that at T = 0, these quantities become significant in two and three dimensions. It is shown also that the dimensionality of the lattice enhances the anomalous density.

Dynamics of Bose–Einstein condensate in driven tilted optical lattices

2019 ◽  
Vol 383 (2-3) ◽  
pp. 196-201 ◽  
Author(s):  
Ai-Xia Zhang ◽  
Li-Xia Cai ◽  
Zi-Fa Yu ◽  
Na-Na Chang ◽  
Si-Qi He ◽  
...  
Keyword(s):  
Optical Lattices ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

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 RYDBERG EXCITATION OF A BOSE-EINSTEIN CONDENSATE

2012 ◽  
Vol 15 ◽  
pp. 1-8
Author(s):  
M. G. BASON ◽  
M. VITEAU ◽  
N. MALOSSI ◽  
D. CIAMPINI ◽  
O. MORSCH ◽  
...  
Keyword(s):  
Optical Lattices ◽  
Rydberg Atoms ◽  
Einstein Condensate ◽  
One Dimensional ◽  
Atom Model ◽  
Coherent Effects ◽  
Bose Einstein Condensate ◽  
Dipole Blockade ◽  
Bose Einstein

Rydberg excitation of an elongated Bose-Einstein condensate is performed. We show how the dipole-blockade mechanism restricts the number of Rydberg atoms it is possible to excite in such a cloud. Using the super-atom model we then look at the feasibility of observing coherent effects in even stricter geometries, one dimensional optical lattices

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