Bloch Oscillations in Optical and Zeeman Lattices in the Presence of Spin-Orbit Coupling

Abstract

We address Bloch oscillations of a spin-orbit coupled atom in periodic potentials of two types: Optical and Zeeman lattices. We show that in optical lattices the spin-orbit coupling allows controlling the direction of atomic motion and may lead to complete suppression of the oscillations at specific values of the coupling strength. In Zeeman lattices the energy bands are found to cross each other at the boundaries of the Brillouin zone, resulting in period-doubling of the oscillations. In all cases, the oscillations are accompanied by rotation of the pseudo-spin, with a dynamics that is determined by the strength of the spin-orbit coupling. The predicted effects are discussed also in terms of a Wannier-Stark ladder, which in optical lattices consist of two mutually-shifted equidistant sub-ladders.

7 pages (together with the Supplemental Material), 5 figures; to appear in Phys. Rev. Lett; typo fixed

References in corpus (4)

• Tunable gauge potential for neutral and spinless particles in driven lattices
• Bose-Einstein Condensates in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity
• Quantum walks and quantum simulations with Bloch oscillating spinor atoms
• Bloch-Landau-Zener dynamics in single-particle Wannier-Zeeman systems

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