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Geometric phases generated by the non-trivial spatial topology of static vector fields linearly coupled to a neutral spin-endowed particle: application to<sup>171</sup>Yb atoms trapped in a 2D optical lattice
We have constructed the geometric phases emerging from the non trivial topology of a spacedependent magnetic field B(r), interacting with the spin magnetic moment of a neutral particle.Our basic tool, adapted from a previous work on Berry's phases, is the space-dependent unitary transformation U(r) which leads to the identity, U(r) …