Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates

Abstract

We consider an ultracold bosonic binary mixture confined in a one-dimensional double-well trap. The two bosonic components are assumed to be two hyperfine internal states of the same atom. We suppose that these two components are spin-orbit coupled between each other. We employ the two-mode approximation starting from two coupled Gross-Pitaevskii equations and derive a system of ordinary differential equations governing the temporal evolution of the inter-well population imbalance of each component and that between the two bosonic species. We study the Josephson oscillations of these spin-orbit coupled Bose-Einstein condensates by analyzing the interplay between the interatomic interactions and the spin-orbit coupling and the self-trapped dynamics of the inter-species imbalance. We show that the dynamics of this latter variable is crucially determined by the relationship between the spin-orbit coupling, the tunneling energy, and the interactions.

14 pages, 8 figures

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• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Multidimensional Josephson vortices in spin-orbit coupled Bose-Einstein condensates: snake instability and decay through vortex dipoles
• Spin-orbit coupled Bose-Einstein condensates in a double well
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Delocalization effects, entanglement entropy and spectral collapse of boson mixtures in a double well
• Interference of spin-orbit coupled Bose-Einstein condensates
• Dynamics of a macroscopic spin qubit in spin-orbit coupled Bose-Einstein condensates
• Dynamical suppression of tunneling and spin switching of a spin-orbit-coupled atom in a double-well trap
• Transport of the repulsive Bose-Einstein condensate in a double-well trap: interaction impact and relation to Josephson effect
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates
• Spin Josephson effects of spin-orbit-coupled Bose-Einstein condensates in a non-Hermitian double well
• Matter-waves in Bose-Einstein condensates with spin-orbit and Rabi couplings
• Josephson-type oscillations in spin-orbit coupled Bose-Einstein condensates with nonlinear optical lattices
• Coherent control of spin tunneling in a spin-orbit coupled bosonic triple well
• Effect of spin-orbit coupling on tunnelling escape of Bose-Einstein condensate
• The Dynamical Stripes in Spin-Orbit Coupled Bose-Einstein Condensates with Josephson Junctions
• Finite-temperature entanglement and coherence in asymmetric bosonic Josephson junctions
• Bosonic binary mixtures with Josephson-type interactions
• Dynamical Phase Transition of two-component Bose-Einstein condensate with nonlinear tunneling in an optomechanical cavity-mediated double-well system
• Collective modes of two-species Bose-Einstein condensates in a Josephson junction barrier