Dynamic localization in optical and Zeeman lattices in the presence of spin-orbit coupling

Abstract

The dynamic localization of a two-level atom in a periodic potential under the action of spin-orbit coupling and a weak harmonically-varying linear force is studied. We consider optical and Zeeman potentials that are either in-phase or out-of-phase in two spinor components, respectively. The expectation value for the position of the atom after one oscillation period of the linear force is recovered in authentic resonances or in pseudo-resonances. The frequencies of the linear force corresponding to authentic resonances are determined by the band structure of the periodic potential and are affected by the spin-orbit coupling. The width/dispersion of the wavepacket in authentic resonances is usually minimal. The frequencies corresponding to pseudo-resonances do not depend on the type of potential and on the strength of the spin-orbit coupling, while the evolution of excitations at the corresponding frequencies is usually accompanied by significant dispersion. Pseudo-resonances are determined by the initial phase of the linear force and by the quasi-momentum of the wavepacket. Due to the spinor nature of the system, the motion of the atom is accompanied by periodic, but not harmonic, spin oscillations. Under the action of spin-orbit coupling the oscillations of the wavepacket can be nearly completely suppressed in optical lattices. Dynamic localization in Zeeman lattices is characterized by doubling of the resonant oscillation periods due to band crossing at the boundary of the Brillouin zone. We also show that higher harmonics in the Fourier expansion of the energy band lead to effective dispersion, which can be strong enough to prevent dynamic localization of the Bloch wavepacket.

arXiv comment11 pages, 8 figures; accepted for Physical Review A

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Cited by in corpus (8)

• Topological pumping assisted by Bloch oscillations
• Dynamical suppression of tunneling and spin switching of a spin-orbit-coupled atom in a double-well trap
• Flat bands and dynamical localization of spin-orbit coupled Bose-Einstein condensates
• 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
• Nonlinearity-induced localization in a periodically-driven semi-discrete system
• Transfer of solitons and half-vortex solitons via adiabatic passage