Flat bands and dynamical localization of spin-orbit coupled Bose-Einstein condensates

Abstract

Flat bands and dynamical localization of binary mixtures of Bose-Einstein condensates, with spin-orbit coupling subjected to a deep optical lattice which is shaking in time and to a periodic time modulation of the Zeeman field, are investigated. In contrast with usual dynamical localization in the absence of spin-orbit coupling, we find that to fully suppress the tunneling in the system the optical lattice shaking is not enough, and a proper tuning of the spin-orbit term, achievable via the Zeeman field modulation, is also required. This leads to a sequence of Zeeman parameter values where energy bands become flat, the tunneling in the system is suppressed, and the dynamical localization phenomenon occurs. Exact wave functions at the dynamical localization points show that the binary mixture localizes on a dimer with the two components occupying different sites. This type of localization occurs in exact form also for the ground state of the system at the dynamical localization points in the presence of nonlinearity and remains valid, although in approximate form, for a wide range of the Zeeman parameter around these points. The possibility of observing the above phenomena in real experiments is also briefly discussed.

References in corpus (18)

• Atomic quantum gases in periodically driven optical lattices
• Dynamical control of matter-wave tunneling in periodic potentials
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Bose condensation in flat bands
• Exploring dynamic localization with a Bose-Einstein condensate
• Tunable Spin-Orbit Coupling via Strong Driving in Ultracold Atom Systems
• Ultracold Lattice Gases with Periodically Modulated Interactions
• Long-living Bloch oscillations of matter waves in optical lattices
• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
• Low-energy behaviour of strongly-interacting bosons on a flat-banded lattice above the critical filling factor
• Dynamical suppression of tunneling and spin switching of a spin-orbit-coupled atom in a double-well trap
• Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management
• Dynamic localization in optical and Zeeman lattices in the presence of spin-orbit coupling
• Compacton matter waves in binary Bose gases under strong nonlinear management
• Quantum collision theory in flat bands
• Binary matter-wave compactons induced by inter-species scattering length modulations

Cited by in corpus (4)

• Localization of ultracold atoms in incommensurate spin-orbit-coupling and Zeeman lattices
• Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
• Wannier solitons in spin-orbit-coupled Bose-Einstein condensates in optical lattices with a flat-band
• Nonlinear gap modes and compactons in a lattice model for spin-orbit coupled exciton-polaritons in zigzag chains