Overlaying optical lattices for simulation of complex frustrated antiferromagnets

Zhi-Xin Chen, Han Ma, Mo-Han Chen, Xiang-Fa Zhou, Lixin He, Guang-Can Guo, Xingxiang Zhou, Yan Chen, and Zheng-Wei Zhou

Phys. Rev. A 85, 013632 – Published 24 January 2012

Abstract

We present design techniques for special optical lattices that allow quantum simulation of spin frustration in two-dimensional systems. By carefully overlaying optical lattices with different periods and orientations we are able to adjust the ratio between the nearest-neighbor and next-nearest-neighbor interaction strengths in a square spin lattice and realize frustration effects. We show that only laser beams of a single frequency are required and the parameter space reachable in our design is broad enough to study the important phases in the $J_{1}$ - $J_{2}$ frustrated Heisenberg model and checkerboard antiferromagnet model. By using the polarization spectroscopy for detection, distinct quantum phases and quantum phase transition points can be characterized straightforwardly. Our design thus offers a suitable setup for simulation of frustrated spin systems.

Received 28 October 2011
Corrected 26 July 2012

DOI:https://doi.org/10.1103/PhysRevA.85.013632

Corrections

26 July 2012

Errata

Publisher's Note: Overlaying optical lattices for simulation of complex frustrated antiferromagnets [Phys. Rev. A 85, 013632 (2012)]

Zhi-Xin Chen, Han Ma, Mo-Han Chen, Xiang-Fa Zhou, Lixin He, Guang-Can Guo, Xingxiang Zhou, Yan Chen, and Zheng-Wei Zhou

Phys. Rev. A 85, 039901 (2012)

Publisher's Note: Overlaying optical lattices for simulation of complex frustrated antiferromagnets [Phys. Rev. A 85, 013632 (2012)]

Zhi-Xin Chen, Han Ma, Mo-Han Chen, Xiang-Fa Zhou, Lixin He, Guang-Can Guo, Xingxiang Zhou, Yan Chen, and Zheng-Wei Zhou

Phys. Rev. A 86, 029901 (2012)

Authors & Affiliations

Zhi-Xin Chen¹, Han Ma², Mo-Han Chen¹, Xiang-Fa Zhou¹, Lixin He¹, Guang-Can Guo¹, Xingxiang Zhou^1,*, Yan Chen^2,†, and Zheng-Wei Zhou^1,‡

¹Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, China
²Department of Physics, State Key Laboratory of Surface Physics, Laboratory of Advanced Materials and Key Laboratory of Micro and Nano Photonic Structures (Ministry of Education), Fudan University, Shanghai 200433, China

^*xizhou@ustc.edu.cn
^†yanchen99@fudan.edu.cn
^‡zwzhou@ustc.edu.cn

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Vol. 85, Iss. 1 — January 2012

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