Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices

Abstract

Binary mixtures of Bose-Einstein condensates trapped in deep optical lattices and subjected to equal contributions of Rashba and Dresselhaus spin-orbit coupling (SOC), are investigated in the presence of a periodic time modulation of the Zeeman field. SOC tunability is explicitly demonstrated by adopting a mean-field tight-binding model for the BEC mixture and by performing an averaging approach in the strong modulation limit. In this case, the system can be reduced to an unmodulated vector discrete nonlinear Schrödinger equation with a rescaled SOC tunning parameter $\alpha$, which depends only on the ratio between amplitude and frequency of the applied Zeeman field. The dependence of the spectrum of the linear system on $\alpha$ has been analytically characterized. In particular, we show that extremal curves (ground and highest excited states) of the linear spectrum are continuous piecewise functions (together with their derivatives) of $\alpha$, which consist of a finite number of decreasing band lobes joined by constant lines. This structure also remains in presence of not too large nonlinearities. Most important, the interactions introduce a number of localized states in the band-gaps that undergo change of properties as they collide with band lobes. The stability of ground states in the presence of the modulating field has been demonstrated by real time evolutions of the original (un-averaged) system. Localization properties of the ground state induced by the SOC tuning, and a parameter design for possible experimental observation have also been discussed.

11 pages, 9 figures

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• Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
• Macroscopic random Paschen-Back effect in ultracold atomic gases
• Polariton gap and gap-stripe solitons in Zeeman lattices
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• Domain formation of modulation instability in spin-orbit-Rabi coupled Gross-Pitaevskii equation with cubic-quintic interactions
• Josephson-type oscillations in spin-orbit coupled Bose-Einstein condensates with nonlinear optical lattices
• Exotic Quantum States in Spin-1 Bose-Einstein Condensate with Spin-Orbit Coupling in Concentric Annular Traps
• Band-edge superfluid of Bose-Einstein condensates in the spin-orbit-coupled Zeeman lattice
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• Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling
• A Kaleidoscope of Topological Structures in Dipolar Bose-Einstein Condensates with Weyl-Like Spin-Orbit Coupling in Anharmonic Trap