Modulational instability in binary spin-orbit-coupled Bose-Einstein condensates

Abstract

We study modulation instability (MI) of flat states in two-component spin-orbit-coupled (SOC) Bose-Einstein condensates (BECs) in the framework of coupled Gross-Pitaevskii equations for two components of the pseudospinor wave function. The analysis is performed for equal densities of the components. Effects of the interaction parameters, Rabi coupling, and SOC on the MI are investigated. In particular, the results demonstrate that the SOC strongly alters the commonly known MI (immiscibility) condition, $g_{12}>g_1{g}_2$, for the binary superfluid with coefficients $g_{1,2}$ and $g_{12}$ of the intra- and interspecies repulsive interactions. In fact, the binary BEC is always subject to the MI under the action of the SOC, which implies that the ground state of the system is plausibly represented by a striped phase.

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• Modulational Instabity of Spin-Orbit Coupled Bose-Einstein Condensates in Discrete Media
• Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates
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• Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
• Double unstable avoided crossings and complex domain patterns formation in spin-orbit coupled spin-1 condensates
• Impurity induced Modulational instability in Bose-Einstein condensates
• Dragging spin-orbit-coupled solitons by a moving optical lattice
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