TY - JOUR

T1 - Effects of time-periodic linear coupling on two-component Bose-Einstein condensates in two dimensions

AU - Susanto, H.

AU - Kevrekidis, P. G.

AU - Malomed, B. A.

AU - Abdullaev, F. Kh

N1 - Funding Information:
We appreciate valuable discussions with B.B. Baizakov and R.G. Hulet. The work of B.A.M. was supported, in a part, by the Israel Science Foundation through the Center-of-Excellence grant No. 8006/03. P.G.K. gratefully acknowledges the support of NSF through the grants NSF-DMS-0505663, NSF-DMS-0619492 and NSF-CAREER.

PY - 2008/3/3

Y1 - 2008/3/3

N2 - We examine two-component Gross-Pitaevskii equations with nonlinear and linear couplings, assuming self-attraction in one species and self-repulsion in the other, while the nonlinear inter-species coupling is also repulsive. For initial states with the condensate placed in the self-attractive component, a sufficiently strong linear coupling switches the collapse into decay (in the free space). Setting the linear-coupling coefficient to be time-periodic (alternating between positive and negative values, with zero mean value) can make localized states quasi-stable for the parameter ranges considered herein, but they slowly decay. The 2D states can then be completely stabilized by a weak trapping potential. In the case of the high-frequency modulation of the coupling constant, averaged equations are derived, which demonstrate good agreement with numerical solutions of the full equations.

AB - We examine two-component Gross-Pitaevskii equations with nonlinear and linear couplings, assuming self-attraction in one species and self-repulsion in the other, while the nonlinear inter-species coupling is also repulsive. For initial states with the condensate placed in the self-attractive component, a sufficiently strong linear coupling switches the collapse into decay (in the free space). Setting the linear-coupling coefficient to be time-periodic (alternating between positive and negative values, with zero mean value) can make localized states quasi-stable for the parameter ranges considered herein, but they slowly decay. The 2D states can then be completely stabilized by a weak trapping potential. In the case of the high-frequency modulation of the coupling constant, averaged equations are derived, which demonstrate good agreement with numerical solutions of the full equations.

KW - Linear coupling

KW - Multiple components

KW - Nonlinear Schrödinger equations

UR - http://www.scopus.com/inward/record.url?scp=38949193555&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2007.09.073

DO - 10.1016/j.physleta.2007.09.073

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AN - SCOPUS:38949193555

VL - 372

SP - 1631

EP - 1638

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 10

ER -