Nonlinear dynamics of a spin-orbit-coupled Bose-Einstein condensate

Abstract

Single-particle dynamics of a spin-orbit-coupled Bose-Einstein condensate has recently been investigated in experiments that explore the physics of Landau-Zener tunneling and of the Zitterbewegung. In this paper, we study the influence of a nonlinearity due to interactions on these dynamics and show that the dispersion relation develops interesting loop strucures. The atoms can move along the nonlinear dispersion curve in the presence of a weak acceleration force and we show that the loops lead to straightforward nonlinear Landau-Zener tunneling. However, we find that for the Zitterbewegung, induced by a sudden quench in the spin-orbit coupling parameters, the nonlinear dispersion is irrelevant.

arXiv comment6 Pages, 3 Figures

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Cited by in corpus (15)

• Adiabaticity in nonreciprocal Landau-Zener tunneling
• Elementary excitations in a spin-orbit-coupled spin-1 Bose-Einstein condensate
• Non-exponential tunneling due to mean-field induced swallowtails
• Quenching dynamics of the bright solitons and other localized states in spin-orbit coupled Bose-Einstein condensates
• Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice
• Metastable supersolid in spin-orbit coupled Bose-Einstein condensates
• Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices
• Nonlinear multi-state tunneling dynamics in a spinor Bose-Einstein condensate
• Supercurrent-carrying supersolid in spin-orbit-coupled Bose-Einstein condensates
• Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
• Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
• Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
• Dynamical Zeeman resonance in spin-orbit-coupled spin-1 Bose gases
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Theory of anomalous Landau-Zener tunneling induced by nonlinear coupling