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International Journal of Modern Physics B

MODULATIONAL INSTABILITY OF DIPOLAR BOSE–EINSTEIN CONDENSATES IN AN OPTICAL LATTICE

Haifeng Chen, J. C. Huang, Zhengwei Xie

Published Nov 20, 2010• 1 citation
Publisher

Abstract

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.

DOI
10.1142/s0217979210057444

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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.
Modulational instability and discrete matter wave solitons in dipolar BECs, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instability of nonlinear plane matter waves in a dipolar nonlinear lattice is studied and the regions of instability are established. The existence and stability of bulk discrete solitons are analyzed analytically and confirmed by numerical simulations. In marked contrast with the usual discrete nonlinear Schr\"odinger behavior (no dipolar interactions), we found a region where the two fundamental modes are simultaneously unstable, allowing enhanced mobility across the lattice for large norm values. To study the existence and properties of surface discrete solitons, an analysis of the dimer configuration is performed. The properties of symmetric and antisymmetric modes including stability diagrams and bifurcations are investigated in closed form. For the case of a bulk medium, properties of fundamental on-site and intersite localized modes are analyzed. On-site and intersite surface localized modes are studied, and we find that they do not exist when nonlocal interactions predominate with respect to local ones.
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.
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