Compacton existence and spin-orbit density dependence in Bose-Einstein condensates

Abstract

We demonstrate the existence of compactons matter waves in binary mixtures of Bose-Einstein condensates (BEC) trapped in deep optical lattices (OL) subjected to equal contributions of intra-species Rashba and Dresselhaus spin-orbit coupling (SOC) under periodic time modulations of the intra-species scattering length. We show that these modulations lead to the rescaling of the SOC parameters that involve the density imbalance of the two components. This gives rise to a density-dependent SOC parameters strongly influence the existence and stability of compacton matter waves. The stability of SOC-compactons is investigated both by linear stability analysis and by time integrations of the coupled Gross-Pitaevskii equations. We find that SOC restricts the parameter ranges for stable stationary SOC-compacton existence but, on the other side, it gives a more stringent signature of their occurrence. In particular, SOC-compactons should appear when the intra-species interactions and the number of atoms in the two components are perfectly balanced (or close to being balanced for metastable cases). The possibility to use SOC-compactons as a tool for indirect measurements of the number of atoms and/or the intra-species interactions, is also suggested.

arXiv comment14 pages, 11 figures

References in corpus (15)

• A spin-orbit coupled Bose-Einstein condensate
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Spin-orbit coupling in quantum gases
• Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential
• Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
• Many-Body Coherent Destruction of Tunneling
• Ultracold Lattice Gases with Periodically Modulated Interactions
• Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
• Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
• Compacton matter waves in binary Bose gases under strong nonlinear management
• Density Dependent Spin-Orbit Coupling in Degenerate Quantum Gases
• Multidimensional Discrete Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
• Binary matter-wave compactons induced by inter-species scattering length modulations