NONAUTONOMOUS DARK SOLITONS IN BOSE–EINSTEIN CONDENSATE

In this paper, we study on dark solitons of Bose–Einstein condensate analytically in a time-dependent harmonic trap with an arbitrary time-dependent linear potential and complex potential. It is shown that the nonautonomous dark soliton can be manipulated well through managing external potentials and nonlinear interaction between atoms. We believe that these results would stimulate experiments to manage dark solitons.

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

Modern Physics Letters B ◽

10.1142/s0217984914500262 ◽

2014 ◽

Vol 28 (04) ◽

pp. 1450026 ◽

Cited By ~ 1

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.

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MODULATIONAL INSTABILITY OF A BOSE–EINSTEIN CONDENSATE BEYOND THE FERMI PSEUDOPOTENTIAL WITH A TIME-DEPENDENT COMPLEX POTENTIAL

International Journal of Modern Physics B ◽

10.1142/s0217979212501640 ◽

2012 ◽

Vol 26 (30) ◽

pp. 1250164 ◽

Cited By ~ 9

Author(s):

DIDIER BELOBO BELOBO ◽

GERMAIN HUBERT BEN-BOLIE ◽

THIERRY BLANCHARD EKOGO ◽

C. G. LATCHIO TIOFACK ◽

TIMOLÉON CRÉPIN KOFANÉ

Keyword(s):

Gravitational Field ◽

Numerical Simulations ◽

Complex Potential ◽

Modulational Instability ◽

Quantum Fluctuations ◽

Einstein Condensate ◽

Time Dependent ◽

Pitaevskii Equation ◽

Bose Einstein Condensate ◽

Bose Einstein

The modulational instability (MI) of Bose–Einstein condensates based on a modified Gross–Pitaevskii equation (GPE) which takes into account quantum fluctuations and a shape-dependent term, trapped in an external time-dependent complex potential is investigated. The external potential consists of an expulsive parabolic background with a complex potential and a gravitational field. The theoretical analysis uses a modified lens-type transformation which converts the modified GPE into a modified form without an explicit spatial dependence. A MI criterion and a growth rate are explicitly derived, both taking into account quantum fluctuations and the parameter related to the feeding or loss of atoms in the condensate which significantly affect the gain of instability of the condensate. Direct numerical simulations of the modified GPE show convincing agreements with analytical predictions. In addition, our numerical results also reveal that the gravitational field has three effects on the MI: (i) the deviation backward or forward of solitons trains, (ii) the enhancement of the appearance of the MI and (iii) the reduction of the lifetime of pulses. Moreover, numerical simulations proved that it is possible to control the propagation of the generated solitons trains by a proper choice of parameters characterizing both the loss or feeding of atoms and the gravitational field, respectively.

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