Topological quantum optics in two-dimensional atomic lattices

Tudor D. Stanescu, Victor M. Galitski, S. Das Sarma

Xing‐Hai Zhang, Wenjun Fan, Jinwei Shi +1 more

Topological objects are interesting topics in various fields of physics ranging from condensed matter physics to the grand unified and superstring theories.Among those, ultracold atoms provide a playground to study the complex topological objects.In this paper we present a proposal to realize an optical lattice with stable fractionalized topological objects.In particular, we generate the fractionalized topological fluxes and fractionalized skyrmions on two-dimensional optical lattices and fractionalized monopoles on three-dimensional optical lattices.These results offer a new approach to study the quantum many-body systems on optical lattices of ultracold quantum gases with controllable topological defects, including dislocations, topological fluxes and monopoles.

Zhi Lin, Xian-Jia Huang, Dan-Wei Zhang +2 more

Dipolar parity anomaly can be induced by spatiotemporally weak-dependent energy-momentum separation of paired Dirac points in two-dimensional Dirac semimetals. Here we reveal topological currents arising from this kind of anomaly. A corresponding lattice model is proposed to emulate the topological currents by using two-component ultracold atoms in a two-dimensional optical Raman lattice. In our scheme, the topological currents can be generated by varying on-site coupling between the two atomic components in time and tuned via the laser fields. Moreover, we show that the topological particle currents can directly be detected from measuring the drift of the center of mass of the atomic gases.

Yiqi Zhang, Milivoj R. Belić, Yanpeng Zhang

S. I. Vinitskii, Vladimir Leonardovich Derbov, V.M. Dubovik +2 more

Johannes Borregaard, Darrick E. Chang, Hannes Pichler +4 more

Two-dimensional atomic arrays exhibit a number of intriguing quantum optical phenomena, including subradiance, nearly perfect reflection of radiation, and long-lived topological edge states. Studies of emission and scattering of photons in such lattices require complete treatment of the radiation pattern from individual atoms, including long-range interactions. We describe a systematic approach to perform the calculations of collective energy shifts and decay rates in the presence of such long-range interactions for arbitrary two-dimensional atomic lattices. As applications of our method, we investigate the topological properties of atomic lattices both in free space and near plasmonic surfaces.