Frequency-Locking Phenomenon of Two Weakly Coupled Bose–Einstein Condensates Induced by Periodic Bias Modulation

2007 ◽  
Vol 76 (2) ◽  
pp. 024001 ◽  
Author(s):  
Noriaki Tsukada ◽  
Kensuke Fukushima ◽  
Takashi Suzuki
Keyword(s):  
Frequency Locking ◽  
Weakly Coupled ◽  
Bose Einstein

Controlling chaos in a weakly coupled array of Bose-Einstein condensates

2005 ◽  
Vol 71 (1) ◽  
Author(s):  
Guishu Chong ◽  
Wenhua Hai ◽  
Qiongtao Xie
Keyword(s):  
Controlling Chaos ◽  
Weakly Coupled ◽  
Bose Einstein

scholarly journals Identical particle scattering from a weakly coupled Bose-Einstein condensed gas

2000 ◽  
Vol 62 (2) ◽  
Author(s):  
A. Wynveen ◽  
A. Setty ◽  
A. Howard ◽  
J. W. Halley ◽  
C. E. Campbell
Keyword(s):  
Identical Particle ◽  
Particle Scattering ◽  
Weakly Coupled ◽  
Bose Einstein

Macroscopic oscillations between two weakly coupled Bose-Einstein condensates

2003 ◽  
Vol 31 (4) ◽  
pp. 457-461 ◽  
Author(s):  
A. Smerzi ◽  
A. Trombettoni ◽  
T. Lopez-Arias ◽  
C. Fort ◽  
P. Maddaloni ◽  
...  
Keyword(s):  
Weakly Coupled ◽  
Bose Einstein

ENTANGLEMENT DYNAMICS OF FLUCTUATIONS IN TWO-MODE BOSE–EINSTEIN CONDENSATES

2010 ◽  
Vol 24 (25) ◽  
pp. 2571-2580
Author(s):  
P. L. SHU ◽  
L. C. WANG ◽  
X. X. YI
Keyword(s):  
Time Evolution ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Entanglement Dynamics ◽  
Weakly Coupled ◽  
Tunneling Transition ◽  
The Mean ◽  
Bose Einstein ◽  
Double Well Potential

The entanglement dynamics of fluctuations in two weakly coupled Bose–Einstein condensates (BECs) is studied in this paper. By calculating the time evolution of entanglement between two fluctuations of condensates in a double-well potential, we show that the nonlinear tunneling transition can be reflected in the entanglement dynamics of fluctuations in BECs. This complements the study on the entanglement dynamics of BECs based on the mean-field approximation.

scholarly journals Effective parameters for weakly coupled Bose–Einstein condensates

2008 ◽  
Vol 10 (4) ◽  
pp. 045009 ◽  
Author(s):  
S Giovanazzi ◽  
J Esteve ◽  
M K Oberthaler
Keyword(s):  
Effective Parameters ◽  
Weakly Coupled ◽  
Bose Einstein

MODULATIONAL INSTABILITY AND EXACT SOLITON AND PERIODIC SOLUTIONS FOR TWO WEAKLY COUPLED EFFECTIVELY 1D CONDENSATES TRAPPED IN A DOUBLE-WELL POTENTIAL

2010 ◽  
Vol 24 (14) ◽  
pp. 2211-2227 ◽  
Author(s):  
E. KENGNE ◽  
R. VAILLANCOURT ◽  
B. A. MALOMED
Keyword(s):  
Periodic Solutions ◽  
Modulational Instability ◽  
Wave Number ◽  
Pitaevskii Equation ◽  
Nonlinear Dispersion ◽  
Nonlinear Dispersion Relation ◽  
Weakly Coupled ◽  
Modulational Stability ◽  
Bose Einstein ◽  
Double Well Potential

The modulational instability of the coupled Gross–Pitaevskii equation (alias nonlinear Schrödinger equation), which describes two Bose–Einstein condensates trapped in an asymmetric double-well potential, is investigated. The nonlinear dispersion relation that relates the frequency and wave number of the modulating perturbations is found and its analysis shows several possibilities for the modulational stability region. Exact soliton and periodic solutions are constructed via elliptic ordinary differential equations.

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