Abstract
A natural extension of the method described in the previous chapter consists in replacing the staggered optical potential with a linear one. This gives rise to a uniform flux distribution \(\Phi = \pi /2\), which is described by the famous Harper-Hofstadter Hamiltonian. By exploiting an additional pseudo-spin degree of freedom the setup further implements the time-reversal symmetric Hamiltonian underlying the quantum spin Hall effect. This led to the first experimental observation of the spin-Hall effect in an optical lattice.
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Aidelsburger, M. (2016). Harper-Hofstadter Model and Spin Hall Effect. In: Artificial Gauge Fields with Ultracold Atoms in Optical Lattices. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-25829-4_6
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