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arXiv 1506.03643cond-mat.quant-gas
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光通量晶格中的玻色子整数量子霍尔效应

Bosonic integer quantum Hall effect in optical flux lattices

A. Sterdyniak, Nigel R. Cooper, N. Regnault

摘要:

在二维中,强相互作用玻色子在磁场中可以实现玻色子整数量子霍尔态,这是对称性保护拓扑相位的最简单的二维例子。我们提出了一个现实的实现这一阶段使用的光通量格。通过精确的对角化计算,我们发现该系统具有明显的体能隙和玻色整数量子霍尔态的拓扑特征。特别是,多体陈数的计算导致与分析预测一致的量子化霍尔电导。我们还研究了相对于一些实验相关参数的相位的稳定性。

英文摘要:

In two dimensions strongly interacting bosons in a magnetic field can realize a bosonic integer quantum Hall state, the simplest two dimensional example of a symmetry protected topological phase. We propose a realistic implementation of this phase using an optical flux lattice. Through exact diagonalization calculations, we show that the system exhibits a clear bulk gap and the topological signature of the bosonic integer quantum Hall state. In particular, the calculation of the many-body Chern number leads to a quantized Hall conductance in agreement with the analytical predictions. We also study the stability of the phase with respect to some of the experimentally relevant parameters.

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