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Z2 topological insulator of ultracold atoms in bichromatic optical lattices

Ahad K. Ardabili, Tekin Dereli, Özgür Esat Müstecaplıoğlu

arXiv:1302.5524Physica B Condensed MatterNov 17, 20140 citations

Z2 Topological Insulators in Ultracold Atomic Gases

Benjámin Béri, Nigel R. Cooper

We describe how optical dressing can be used to generate band structures for ultracold atoms with nontrivial Z(2) topological order. Time-reversal symmetry is preserved by simple conditions on the optical fields. We first show how to construct optical lattices that give rise to Z(2) topological insulators in two dimensions. We then describe a general method for the construction of three-dimensional Z(2) topological insulators. A central feature of our approach is a new way to understand Z(2) topological insulators starting from the nearly free electron limit.We describe how optical dressing can be used to generate band structures for ultracold atoms with nontrivial Z(2) topological order. Time-reversal symmetry is preserved by simple conditions on the optical fields. We first show how to construct optical lattices that give rise to Z(2) topological insulators in two dimensions. We then describe a general method for the construction of three-dimensional Z(2) topological insulators. A central feature of our approach is a new way to understand Z(2) topological insulators starting from the nearly free electron limit.

arXiv:1105.1252Physical Review LettersSep 26, 201178 citations

New approaches to topological phases with ultracold atoms

Christof Weitenberg

Bulletin of the American Physical SocietyMay 29, 20190 citations

Topological Insulators with Ultracold Atoms

Indubala I. Satija, Erhai Zhao

Ultracold atom research presents many avenues to study problems at the fore-front of physics. Due to their unprecedented controllability, these systems are ideally suited to explore new exotic states of matter, which is one of the key driv-ing elements of the condensed matter research. One such topic of considerable importance is topological insulators, materials that are insulating in the interior but conduct along the edges. Quantum Hall and its close cousin Quantum Spin Hall states belong to the family of these exotic states and are the subject of this chapter. Contents • Ultracold atoms, synthetic gauge fields, and topological states......... 1 • Topological aspects: Chern numbers and edge states...........................3 • The Hofstadter model and the Chern number........................................4 • Chern-Dimer mapping for anisotropic lattices.....................................6Ultracold atom research presents many avenues to study problems at the fore-front of physics. Due to their unprecedented controllability, these systems are ideally suited to explore new exotic states of matter, which is one of the key driv-ing elements of the condensed matter research. One such topic of considerable importance is topological insulators, materials that are insulating in the interior but conduct along the edges. Quantum Hall and its close cousin Quantum Spin Hall states belong to the family of these exotic states and are the subject of this chapter. Contents • Ultracold atoms, synthetic gauge fields, and topological states......... 1 • Topological aspects: Chern numbers and edge states...........................3 • The Hofstadter model and the Chern number........................................4 • Chern-Dimer mapping for anisotropic lattices.....................................6

Aug 17, 20160 citations

Topological Phenomena in Ultracold Atoms

M. Ueda

International Conference on Solid State Devices and Materials (SSDM)Sep 27, 20160 citations

Strong topological insulator phase in cold-atom systems

Peter P. Orth, Stephan Rachel, Karyn Le Hur

Bulletin of the American Physical SocietyMar 21, 20110 citations

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