Impact of inelastic processes on the chaotic dynamics of a Bose-Einstein condensate trapped into a moving optical lattice

2017 ◽  
Vol 132 (3) ◽  
Author(s):  
Sylvin Tchatchueng ◽  
Martin Siewe Siewe ◽  
François Marie Moukam Kakmeni ◽  
Clément Tchawoua
Keyword(s):  
Optical Lattice ◽  
Chaotic Dynamics ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Inelastic Processes

scholarly journals Oscillations in a parametrically excited Bose-Einstein condensate in combined harmonic and optical lattice trap

Open Physics ◽  
2012 ◽  
Vol 10 (2) ◽  
Author(s):  
Priyanka Verma ◽  
Aranya Bhattacherjee ◽  
Man Mohan
Keyword(s):  
Optical Lattice ◽  
Chaotic Dynamics ◽  
Einstein Condensate ◽  
Harmonic Trap ◽  
Time Dependent ◽  
Time Varying ◽  
Numerical Techniques ◽  
Bose Einstein Condensate ◽  
Parametric Instabilities ◽  
Bose Einstein

AbstractIn this work, we study parametric excitations in an elongated cigar-shaped BEC in a combined harmonic trap and a time dependent optical lattice by using numerical techniques. We show that there exists a relative competition between the harmonic trap which tries to spatially localize the BEC and the time varying optical lattice which tries to delocalize the BEC. This competition gives rise to parametric excitations (oscillations of the BEC width). Regular oscillations disappear when one of the competing factors, i.e. the strength of harmonic trap or the strength of optical lattice, dominates. Parametric instabilities (chaotic dynamics) arise for large variations in the strength of the optical lattice.

ON THE ENERGY OF A BOSE–EINSTEIN CONDENSATE IN AN OPTICAL LATTICE

2007 ◽  
Vol 19 (04) ◽  
pp. 371-384 ◽  
Author(s):  
AMANDINE AFTALION
Keyword(s):  
Optical Lattice ◽  
Critical Case ◽  
Periodic Potential ◽  
Einstein Condensate ◽  
Gamma Convergence ◽  
The Third ◽  
Bose Einstein Condensate ◽  
Delta Functions ◽  
Convergence Type ◽  
Bose Einstein

In this paper, we study the Gross–Pitaevskii energy of a Bose–Einstein condensate in the presence of an optical lattice, modeled by a periodic potential V(x3) in the third direction. We study a simple case where the wells of the potential V correspond to regions where V vanishes, and are separated by small intervals of size δ where V is large. According to the intensity of V, we determine the limiting energy as δ tends to 0. In the critical case, the periodic potential approaches a sum of delta functions and the limiting energy has a contribution due to the value of the wave function between the wells. The proof relies on Gamma convergence type techniques.

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