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Progress towards quantum simulating the classical O(2) model

Publication ,  Journal Article
Zou, H; Liu, Y; Lai, CY; Unmuth-Yockey, J; Yang, LP; Bazavov, A; Xie, ZY; Xiang, T; Chandrasekharan, S; Tsai, SW; Meurice, Y
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
December 1, 2014

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 Rb87 and K41 Bose-Bose mixture.

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Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

December 1, 2014

Volume

90

Issue

6

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Zou, H., Liu, Y., Lai, C. Y., Unmuth-Yockey, J., Yang, L. P., Bazavov, A., … Meurice, Y. (2014). Progress towards quantum simulating the classical O(2) model. Physical Review A - Atomic, Molecular, and Optical Physics, 90(6). https://doi.org/10.1103/PhysRevA.90.063603
Zou, H., Y. Liu, C. Y. Lai, J. Unmuth-Yockey, L. P. Yang, A. Bazavov, Z. Y. Xie, et al. “Progress towards quantum simulating the classical O(2) model.” Physical Review A - Atomic, Molecular, and Optical Physics 90, no. 6 (December 1, 2014). https://doi.org/10.1103/PhysRevA.90.063603.
Zou H, Liu Y, Lai CY, Unmuth-Yockey J, Yang LP, Bazavov A, et al. Progress towards quantum simulating the classical O(2) model. Physical Review A - Atomic, Molecular, and Optical Physics. 2014 Dec 1;90(6).
Zou, H., et al. “Progress towards quantum simulating the classical O(2) model.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 90, no. 6, Dec. 2014. Scopus, doi:10.1103/PhysRevA.90.063603.
Zou H, Liu Y, Lai CY, Unmuth-Yockey J, Yang LP, Bazavov A, Xie ZY, Xiang T, Chandrasekharan S, Tsai SW, Meurice Y. Progress towards quantum simulating the classical O(2) model. Physical Review A - Atomic, Molecular, and Optical Physics. 2014 Dec 1;90(6).

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

December 1, 2014

Volume

90

Issue

6

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences