Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices

Abstract

We show how spin-orbit coupling and Berry phase can appear in two-dimensional optical lattices by coupling atoms' internal degrees of freedom to radiation. The Rashba Hamiltonian, a standard description of spin-orbit coupling for two-dimensional electrons, is obtained for the atoms under certain circumstances. We discuss the possibility of observing associated phenomena, such as the anomalous Hall and spin Hall effects, with cold atoms in optical lattices.

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References in corpus (8)

• Dissipationless Quantum Spin Current at Room Temperature
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• Quantum-state control in optical lattices
• Anomalous Hall effect in paramagnetic two dimensional systems
• Mesoscopic quantum coherence in an optical lattice

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