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Localization of ultracold atoms in Zeeman lattices with incommensurate spin-orbit coupling

Localization of ultracold atoms in Zeeman lattices with incommensurate spin-orbit coupling

We consider a particle governed by a one-dimensional Hamiltonian in which artificial periodic spin-orbit coupling and the Zeeman lattice have incommensurate periods. Using the best rational approximations to such a quasiperiodic Hamiltonian, the problem is reduced to a description of spinor states in a superlattice. In the absence of constant …