scholarly journals Adiabaticity in nonlinear quantum dynamics: Bose-Einstein condensate in a time-varying box

2002 ◽  
Vol 65 (3) ◽  
Author(s):  
Y. B. Band ◽  
Boris Malomed ◽  
Marek Trippenbach
Keyword(s):  
Quantum Dynamics ◽  
Einstein Condensate ◽  
Time Varying ◽  
Bose Einstein Condensate ◽  
Nonlinear Quantum ◽  
Bose Einstein

Quantum dynamics of the phase of a Bose–Einstein condensate

1997 ◽  
Vol 44 (10) ◽  
pp. 1775-1799 ◽  
Author(s):  
P. Villain ◽  
M. Lewenstein ◽  
R. Dum ◽  
Y. Castin ◽  
L. You ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

On the Stability of a Quantum Dynamics of a Bose-Einstein Condensate Trapped in a One-Dimensional Toroidal Geometry

2008 ◽  
Vol 47 (9) ◽  
pp. 2393-2408 ◽  
Author(s):  
G. P. Berman ◽  
A. R. Bishop ◽  
D. A. R. Dalvit ◽  
G. V. Shlyapnikov ◽  
N. Tarkhanov ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Einstein Condensate ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
The Stability ◽  
Bose Einstein ◽  
Toroidal Geometry

scholarly journals A COLD-ATOM RATCHET INTERPOLATING BETWEEN CLASSICAL AND QUANTUM DYNAMICS

2013 ◽  
Vol 12 (02) ◽  
pp. 1340003 ◽  
Author(s):  
R. K. SHRESTHA ◽  
W. K. LAM ◽  
J. NI ◽  
G. S. SUMMY
Keyword(s):  
Classical Limit ◽  
Quantum Dynamics ◽  
Cold Atom ◽  
Einstein Condensate ◽  
Single Variable ◽  
Pulse Period ◽  
Short Pulses ◽  
Bose Einstein Condensate ◽  
Experimental Parameters ◽  
Bose Einstein

We use an atomic ratchet realized by applying short pulses of an optical standing-wave to a Bose–Einstein condensate to study the crossover between classical and quantum dynamics. The signature of the ratchet is the existence of a directed current of atoms, even though there is an absence of a net bias force. Provided that the pulse period is close to one of the resonances of the system, the ratchet behavior can be understood using a classical like theory which depends on a single variable containing many of the experimental parameters. Here we show that this theory is valid in both the true classical limit, when the pulse period is close to zero, as well as regimes when this period is close to other resonances where the usual scaled Planck's constant is nonzero. By smoothly changing the pulse period between these resonances we demonstrate how it is possible to tune the ratchet between quantum and classical types of behavior.

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