%0 Journal Article %1 Mei2012Simulating %A Mei, Feng %A Zhu, Shi-Liang %A Zhang, Zhi-Ming %A Oh, C. H. %A Goldman, N. %D 2012 %K one-dimensional, quantum-simulation, topological-insulators %T Simulating Z\_2 topological insulators with cold atoms in a one-dimensional optical lattice %U http://arxiv.org/abs/1112.3157 %X 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.

@article{Mei2012Simulating, abstract = {{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.}}, added-at = {2019-02-26T15:22:34.000+0100}, archiveprefix = {arXiv}, author = {Mei, Feng and Zhu, Shi-Liang and Zhang, Zhi-Ming and Oh, C. H. and Goldman, N.}, biburl = {https://www.bibsonomy.org/bibtex/2528b97d6f1c9eea1afcbb8a9c3891dcb/rspreeuw}, citeulike-article-id = {10131172}, citeulike-linkout-0 = {http://arxiv.org/abs/1112.3157}, citeulike-linkout-1 = {http://arxiv.org/pdf/1112.3157}, day = 17, eprint = {1112.3157}, interhash = {4fd5b76051de4576d660c8d1c7f0cc8f}, intrahash = {528b97d6f1c9eea1afcbb8a9c3891dcb}, keywords = {one-dimensional, quantum-simulation, topological-insulators}, month = jan, posted-at = {2011-12-18 21:14:18}, priority = {2}, timestamp = {2019-02-26T15:22:34.000+0100}, title = {{Simulating Z\_2 topological insulators with cold atoms in a one-dimensional optical lattice}}, url = {http://arxiv.org/abs/1112.3157}, year = 2012 }