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arXiv · 1212.5328

Quantum simulation of Heisenberg spin chains with next nearest neighbor interactions in coupled cavities

Zhi-Xin Chen·Zheng-Wei Zhou·Xingxiang Zhou·Xiang-Fa Zhou·Guang-Can Guo
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Abstract

We propose a scheme to simulate one-dimensional XXZ-type Heisenberg spin models with competing interactions between nearest-neighbors (NNs) and next-NNs in photon-coupled micro-cavities. Our scheme, for the first time, exploits the rich resources and flexible controls available in such a system to realize arbitrarily adjustable ratios between the effective NN and next-NN coupling strengths. Such powerful capability allows us to simulate frustration phenomena and disorder behaviors in 1-d systems arising from next-NN interactions, a large class of problems of great importance in condensed matter physics. Our scheme is robust due to the lack of atomic excitations which suppresses spontaneous emission and cavity decay strongly.

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Zhi-Xin Chen, Zheng-Wei Zhou, Xingxiang Zhou, Xiang-Fa Zhou, Guang-Can Guo. 2012-12-21. Quantum simulation of Heisenberg spin chains with next nearest neighbor interactions in coupled cavities. https://doi.org/10.1103/physreva.81.022303

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