Dynamics of spin-orbit coupled Bose-Einstein condensates in a random potential

Abstract

Disorder plays a crucial role in spin dynamics in solids and condensed matter systems. We demonstrate that for a spin-orbit coupled Bose-Einstein condensate in a random potential two mechanisms of spin evolution, that can be characterized as "precessional" and "anomalous", are at work simultaneously. The precessional mechanism, typical for solids, is due to the condensate displacement. The unconventional "anomalous" mechanism is due to the spin-dependent velocity producing the distribution of the condensate spin polarization. The condensate expansion is accompanied by a random displacement and fragmentation, where it becomes sparse, as clearly revealed in the spin dynamics. Thus, different stages of the evolution can be characterized by looking at the condensate spin.

includes Supplemental Material

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• Destruction of Anderson localization by a weak nonlinearity
• Universal spreading of wavepackets in disordered nonlinear systems
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Spin-orbit coupled Bose-Einstein condensates
• Anisotropic dynamics of a spin-orbit coupled Bose-Einstein condensate
• Sum rules, dipole oscillation and spin polarizability of a spin-orbit coupled quantum gas
• Duality of the spin and density dynamics for two-dimensional electrons with a spin-orbit coupling

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• Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
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