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Acta Physica Sinica

Modulational instabilities of two-component Bose-Einstein condensates in the optical lattices

Teng Fei, Zhengwei Xie

Published Jan 1, 2013• 4 citations
Publisher

Abstract

Based on the linear stability analysis, the modulational instablilities (MIs) of two-component Bose-Einstein condensations (BECs) in the optical lattices are studied, especially the relation of MI with the different component and modulational wavevectors, and with the inter- and intra- interaction when the condition of atom current conversation is not satisfied. The results show that when the condition of atom current is not satisfied, the new MI areas of two-component BEC in the optical lattice with the component wavevectors, modulational wavevectors and the interaction between components can arise. The above results can gives us some useful information about manipulating two-component BECs in practice.

DOI
10.7498/aps.62.026701

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Based on the linear stability analysis, the modulational instablilities (MIs) of two-component Bose-Einstein condensations (BECs) in the optical lattices are studied, especially the relation of MI with the different component and modulational wavevectors, and with the inter- and intra- interaction when the condition of atom current conversation is not satisfied. The results show that when the condition of atom current is not satisfied, the new MI areas of two-component BEC in the optical lattice with the component wavevectors, modulational wavevectors and the interaction between components can arise. The above results can gives us some useful information about manipulating two-component BECs in practice.
From the linear stability analysis，the modulational instability (MI) of two-component dipolar Bose-Einstein condensates (BECs) in an optical lattice is studied. The relation of the region of MI with the on-site interaction and the site-to-site interaction induced by the dipole-dipole interaction is obtained. The results show that there is a great influence of site-to-site interaction on the MI of the two-component dipolar BECs in the optical lattices. This gives us some useful information for manipulating two-component dipolar BECs in practice.
By means of the linear stability analysis and discrete nonlinear Schrdinger equation,the critical amplitude of the modulational instability(MI) of two component dipolar Bose-Einstein Condensates(BECs) in an optical lattice is studied.The relations of the two-component dipolar BECs excitation spectrum in the optical lattices and the critical amplitude of the MI with the site-to-site interaction induced by the dipole-dipole interaction are obtained.The results show that the site-to-site interaction induced by the dipole-dipole interaction has a significant influence on the stability of the two-component dipolar BECs in the optical lattices,which can give some useful information for manipulating two-component dipolar BECs in practice.
From the discrete nonlinear Schrödinger equation and the linear stability analysis, the modulational instability (MI) of dipolar Bose–Einstein Condensates (BECs) in an optical lattice is studied. The MI relation of the dipolar BECs in the optical lattice with the on-site interaction and the inter-site interaction is obtained. The results show that there is a great influence of inter-site interaction on MI of dipolar BEC in the optical lattice. This gives us some useful information for manipulating dipolar BECs in practice.
Abstract The modulational instability of two-component Bose–Einstein condensates (BECs) under an external parabolic potential is discussed. Based on the trapped two-component Gross–Pitaevskill equations, a time-dependent dispersion relation is obtained analytically by means of the modified lens-type transformation and linear stability analysis. It is shown that a modulational unstable time scale exists for trapped two-component BECs. The modulational properties—which are determined by the wave number, external trapping parameter, intra- and inter-species atomic interactions—are modified significantly. The analytical results are confirmed by direct numerical simulation. Our results provide a criterion for judging the occurrence of instability of the trapped two-component BECs in experiment.
From GP equation and discrete Schrdinger equation,the modulational instability of dipole Bose-Einstein Condensates(BEC) in an optical lattice is studied.The excitation spectrum of the dipole BEC in the optical lattice and the relation between the dipole-dipole interaction and the modulational instability are obtained.The results show that the influences of the dipoledipole interaction on the nonlinear excitation and stability of dipole BEC in the optical lattice are large.This can give us some useful information for manipulating dipole BECs in practice.