Quantum squeezing and entanglement in a two-mode Bose-Einstein condensate with time-dependent Josephson-like coupling

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.

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Exact Solutions of Bose-Einstein Condensate in Linear Magnetic Field and Time-Dependent Laser Field

Acta Physica Polonica A ◽

10.12693/aphyspola.119.294 ◽

2011 ◽

Vol 119 (3) ◽

pp. 294-297 ◽

Cited By ~ 2

Author(s):

W.H. Huang ◽

J.W. Mao ◽

W.G. Qiu

Keyword(s):

Magnetic Field ◽

Exact Solutions ◽

Laser Field ◽

Einstein Condensate ◽

Time Dependent ◽

Bose Einstein Condensate ◽

Bose Einstein

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Quantum fluctuations in the time-dependent BCS–BEC crossover

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2008.0082 ◽

2008 ◽

Vol 366 (1877) ◽

pp. 2813-2820 ◽

Cited By ~ 3

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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Dynamics of solitons in Bose–Einstein condensate with time-dependent atomic scattering length

Chinese Physics ◽

10.1088/1009-1963/15/10/005 ◽

2006 ◽

Vol 15 (10) ◽

pp. 2216-2222 ◽

Cited By ~ 16

Author(s):

Li Hua-Mei

Keyword(s):

Scattering Length ◽

Einstein Condensate ◽

Time Dependent ◽

Bose Einstein Condensate ◽

Atomic Scattering ◽

Bose Einstein

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A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate

Advances in Mathematical Physics ◽

10.1155/2013/517395 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7 ◽

Cited By ~ 3

Author(s):

Si-Qi Li ◽

Xiang-Gui Li ◽

Dong-Ying Hua

Keyword(s):

Spectral Method ◽

Dipole Interaction ◽

Einstein Condensate ◽

Time Dependent ◽

Three Dimension ◽

S Wave ◽

Bose Einstein Condensate ◽

Two Component ◽

Time Splitting ◽

Bose Einstein

A two-component Bose-Einstein condensate (BEC) described by two coupled a three-dimension Gross-Pitaevskii (GP) equations is considered, where one equation has dipole-dipole interaction while the other one has only the usual s-wave contact interaction, in a cigar trap. The time-splitting and sine spectral method in space is proposed to discretize the time-dependent equations for computing the dynamics of dipolar BEC. The singularity in the dipole-dipole interaction brings significant difficulties both in mathematical analysis and in numerical simulations. Numerical results are given to show the efficiency of this method.

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