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Journal of Sichuan Normal University

The Critical Amplitude of Two-component Dipolar BECs in an Optical Lattice

Zhengwei Xie

Published Jan 1, 2008• 0 citations
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Abstract

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.

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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 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.
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.
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.
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.
We study the stability of the continuous waves in the pancake shaped dipolar Bose-Einstein condensate trapped in the strong optical lattice potential with the coexisting local (the short-range s-wave) interaction and nonlocal (the dipole-dipole) interactions between the condensate atoms.The system is modeled by two two-dimensional discrete models derived from the Gross-Pitaevskii equation accounting the dipole-dipole interactions: discrete nonlinear Schrödinger equation with cubic nonlinearity and nonpolynomial Schrödinger equation.The corresponding dispersion relations are calculated analytically and the regions of the modulation instability in the parametric space are summarized into the stability diagrams.
Motivated by the recent experiment [Nature 530 (2016) 194] in which a stable droplet in a dipolar quantum gas has been created by the interaction-induced instability, we focus on the modulation instability of an optically-trapped dipolar Bose–Einstein condensate with three-body interaction. Within the mean-field level, we analytically solve the discrete cubic-quintic Gross–Pitaevskii equation with dipole–dipole interaction loaded into a deep optical lattice and show how combined effects of the three-body interaction and dipole–dipole interaction on the condition of modulational instability. Our results show that the interplay of the three-body interaction and dipole–dipole interaction can dramatically change the modulation instability condition compared with the ordinary Gross–Pitaevskii equation. We believe that the predicted results in this work can be useful for the future possible experiment of loading a Bose–Einstein condensate of 164 Dy atoms with strong magnetic dipole–dipole interaction into an optical lattice.