Stabilised bright solitons in Bose–Einstein condensates in an expulsive parabolic and complex potential

We investigate numerically the dynamics of paired bright solitons induced by the modulational instability of two-component Bose-Einstein condensates. We derive the analytic gain spectrum by the modulational instability in terms of the interspecies and intraspecies scattering constants and classify the region where the instability occurs. The constraints on the interspecies and intraspecies scattering constants for the existence of the paired bright solitons are found. Using numerical simulations, it is shown that the paired bright solitons induced by the modulational instability exhibit complicated dynamical behaviors depending on the sign and strength of the interspecies and intraspecies scattering constants. - PACS numbers: 03.75.Fi, 05.30.Jp, 32.80Pj, 67.90.+z

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Bright Solitons in Bose-Einstein Condensates: Theory

Emergent Nonlinear Phenomena in Bose-Einstein Condensates - Atomic, Optical, and Plasma Physics ◽

10.1007/978-3-540-73591-5_2 ◽

2007 ◽

pp. 25-43 ◽

Cited By ~ 3

Author(s):

F. Kh. Abdullaev ◽

J. Garnier

Keyword(s):

Bright Solitons ◽

Bose Einstein

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Formation, stability, and dynamics of vector bright solitons in a trapless Bose–Einstein condensate with spin–orbit coupling

New Journal of Physics ◽

10.1088/1367-2630/ab725b ◽

2020 ◽

Vol 22 (3) ◽

pp. 033006

Author(s):

Ya-Jun Wang ◽

Lin Wen ◽

Guang-Ping Chen ◽

Shou-Gang Zhang ◽

Xiao-Fei Zhang

Keyword(s):

Einstein Condensate ◽

Orbit Coupling ◽

Spin Orbit Coupling ◽

Spin Orbit ◽

Bright Solitons ◽

Bose Einstein Condensate ◽

Bose Einstein

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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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