Progress towards quantum simulating the classical $\text{O}(2)$ model

Progress towards quantum simulating the classical $O (2)$ model

Haiyuan Zou, Yuzhi Liu, Chen-Yen Lai, J. Unmuth-Yockey, Li-Ping Yang, A. Bazavov, Z. Y. Xie, T. Xiang, S. Chandrasekharan, S.-W. Tsai, and Y. Meurice

Phys. Rev. A 90, 063603 – Published 1 December 2014

Abstract

We connect explicitly the classical $O (2)$ model in $1 + 1$ dimensions, a model sharing important features with $U (1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using the tensor renormalization-group formulation, we take the time continuum limit and check that finite-dimensional projections used in recent proposals for quantum simulators provide controllable approximations of the original model. We propose two-species Bose-Hubbard models corresponding to these finite-dimensional projections at strong coupling and discuss their possible implementations on optical lattices using a ${}^{87}{Rb}$ and ${}^{41}K$ Bose-Bose mixture.

Received 26 March 2014
Revised 9 October 2014

DOI:https://doi.org/10.1103/PhysRevA.90.063603

Authors & Affiliations

Haiyuan Zou¹, Yuzhi Liu², Chen-Yen Lai³, J. Unmuth-Yockey¹, Li-Ping Yang⁴, A. Bazavov^1,3, Z. Y. Xie⁵, T. Xiang⁵, S. Chandrasekharan⁶, S.-W. Tsai³, and Y. Meurice¹

¹Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242, USA
²Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
³Department of Physics and Astronomy, University of California, Riverside, California 92521, USA
⁴Department of Physics, Chongqing University, Chongqing 400044, China
⁵Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
⁶Department of Physics, Duke University, Durham, North Carolina 27708, USA

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Vol. 90, Iss. 6 — December 2014

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Physical Review A

covering atomic, molecular, and optical physics and quantum science

Progress towards quantum simulating the classical $O (2)$ model

Haiyuan Zou, Yuzhi Liu, Chen-Yen Lai, J. Unmuth-Yockey, Li-Ping Yang, A. Bazavov, Z. Y. Xie, T. Xiang, S. Chandrasekharan, S.-W. Tsai, and Y. Meurice

Phys. Rev. A 90, 063603 – Published 1 December 2014

Abstract

Authors & Affiliations

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Physical Review A

covering atomic, molecular, and optical physics and quantum science

Progress towards quantum simulating the classical O(2) model

Haiyuan Zou, Yuzhi Liu, Chen-Yen Lai, J. Unmuth-Yockey, Li-Ping Yang, A. Bazavov, Z. Y. Xie, T. Xiang, S. Chandrasekharan, S.-W. Tsai, and Y. Meurice

Phys. Rev. A 90, 063603 – Published 1 December 2014

Abstract

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Progress towards quantum simulating the classical $O (2)$ model