Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice

Details Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice

2011-12-14

arxiv.org/abs/1112.3157v2

Phys. Rev. A 85, 013638 (2012)

Physics

Condensed Matter

Quantum Gases

5 pages +, 3 figures, to appear in Physical Review A

Scientific paper

10.1103/PhysRevA.85.013638

We propose an experimental scheme to simulate and detect the properties of time-reversal invariant topological insulators, using cold atoms trapped in one-dimensional bichromatic optical lattices. This system is described by a one-dimensional Aubry-Andre model with an additional SU(2) gauge structure, which captures the essential properties of a two-dimensional Z2 topological insulator. We demonstrate that topologically protected edge states, with opposite spin orientations, can be pumped across the lattice by sweeping a laser phase adiabatically. This process constitutes an elegant way to transfer topologically protected quantum states in a highly controllable environment. We discuss how density measurements could provide clear signatures of the topological phases emanating from our one-dimensional system.

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