Grusdt Fabian, Letscher Fabian, Hafezi Mohammad, Fleischhauer Michael
Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, 67663 Kaiserslautern, Germany and Graduate School Materials Science in Mainz, Gottlieb-Daimler-Strasse 47, 67663 Kaiserslautern, Germany.
Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, 67663 Kaiserslautern, Germany.
Phys Rev Lett. 2014 Oct 10;113(15):155301. doi: 10.1103/PhysRevLett.113.155301. Epub 2014 Oct 7.
We suggest a scheme for the preparation of highly correlated Laughlin states in the presence of synthetic gauge fields, realizing an analogue of the fractional quantum Hall effect in photonic or atomic systems of interacting bosons. It is based on the idea of growing such states by adding weakly interacting composite fermions along with magnetic flux quanta one by one. The topologically protected Thouless pump ("Laughlin's argument") is used to create two localized flux quanta and the resulting hole excitation is subsequently filled by a single boson, which, together with one of the flux quanta, forms a composite fermion. Using our protocol, filling 1/2 Laughlin states can be grown with particle number N increasing linearly in time and strongly suppressed number fluctuations. To demonstrate the feasibility of our scheme, we consider two-dimensional lattices subject to effective magnetic fields and strong on-site interactions. We present numerical simulations of small lattice systems and also discuss the influence of losses.
我们提出了一种在合成规范场存在的情况下制备高度关联的劳克林态的方案，在相互作用玻色子的光子或原子系统中实现分数量子霍尔效应的类似物。它基于通过逐个添加弱相互作用的复合费米子以及磁通量量子来生长此类态的想法。利用拓扑保护的 Thouless 泵（“劳克林论证”）来创建两个局域化的磁通量量子，随后产生的空穴激发由单个玻色子填充，该玻色子与其中一个磁通量量子一起形成一个复合费米子。使用我们的协议，可以生长填充因子为 1/2 的劳克林态，粒子数 N 随时间线性增加且数涨落被强烈抑制。为了证明我们方案的可行性，我们考虑了受到有效磁场和强在位相互作用的二维晶格。我们给出了小晶格系统的数值模拟，并讨论了损耗的影响。
