Formation of a molecular Bose-Einstein condensate and an entangled atomic gas by time-dependent Feshbach resonance

2002 ◽  
Author(s):  
V. A. Yurovsky
Keyword(s):  
Feshbach Resonance ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Bose Einstein Condensate ◽  
Atomic Gas ◽  
Bose Einstein

DYNAMICS OF NONAUTONOMOUS MATTER BREATHER WAVE IN A TIME-DEPENDENT HARMONIC TRAP WITH NONLINEAR INTERACTION MANAGEMENT

2014 ◽  
Vol 28 (04) ◽  
pp. 1450026 ◽  
Author(s):  
ZHI-GANG LIU ◽  
XIAO-XIAO MA
Keyword(s):  
Nonlinear Interaction ◽  
Complex Potential ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Bose Einstein Condensate ◽  
Parabolic Potential ◽  
Bose Einstein ◽  
Condensate System ◽  
Tunneling Behavior ◽  
Interaction Management

In this paper, we study on breathers of Bose–Einstein condensate analytically in a time-dependent parabolic trap with a complex potential. It is found that the breather can be reflected by the parabolic potential or split into many humps and valleys with the time evolution. The nonlinear tunneling behavior of breather colliding on the parabolic potential is observed. The results provide many possibilities to manipulate breather experimentally in the condensate system.

Quantum fluctuations in the time-dependent BCS–BEC crossover

2008 ◽  
Vol 366 (1877) ◽  
pp. 2813-2820 ◽  
Author(s):  
B.M Breid ◽  
J.R Anglin
Keyword(s):  
Landau Theory ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Integral Approach ◽  
Saddle Point Approximation ◽  
Ginzburg Landau ◽  
Bose Einstein Condensate ◽  
Fermionic Atoms ◽  
Molecular Fields ◽  
Bose Einstein

We describe the time-dependent formation of a molecular Bose–Einstein condensate from a BCS state of fermionic atoms as a result of slow sweeping through a Feshbach resonance. We apply a path integral approach for the molecules, and use two-body adiabatic approximations to solve the atomic evolution in the presence of the classical molecular fields, obtaining an effective action for the molecules. In the narrow resonance limit, the problem becomes semiclassical, and we discuss the growth of the molecular condensate in the saddle point approximation. Considering this time-dependent process as an analogue of the cosmological Zurek scenario, we compare the way condensate growth is driven in this rigorous theory with its phenomenological description via time-dependent Ginzburg–Landau theory.

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