Quantum phase transition of Bose-Einstein condensates on a nonlinear ring lattice

Zheng-Wei Zhou, Shao-Liang Zhang, Xiang-Fa Zhou, Guang-Can Guo, Xingxiang Zhou, and Han Pu
Phys. Rev. A 83, 043626 – Published 29 April 2011; Erratum Phys. Rev. A 85, 019901 (2012)

Abstract

We study the phase transitions in a one-dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the mean-field approximation, we find that the phase transitions are of different orders when the modulation period is 2 and greater than 2. We further perform a full quantum mechanical treatment based on the time-evolving block decimation algorithm which confirms the mean-field results and reveals interesting quantum behavior of the system. Our studies yield important knowledge of competing mechanisms behind the phase transitions and the quantum nature of this system.

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  • Received 14 February 2011

DOI:https://doi.org/10.1103/PhysRevA.83.043626

©2011 American Physical Society

Erratum

Erratum: Quantum phase transition of Bose-Einstein condensates on a nonlinear ring lattice [Phys. Rev. A 83, 043626 (2011)]

Zheng-Wei Zhou, Shao-Liang Zhang, Xiang-Fa Zhou, Guang-Can Guo, Xingxiang Zhou, and Han Pu
Phys. Rev. A 85, 019901 (2012)

Authors & Affiliations

Zheng-Wei Zhou1,*, Shao-Liang Zhang1, Xiang-Fa Zhou1, Guang-Can Guo1, Xingxiang Zhou1,†, and Han Pu2

  • 1Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China
  • 2Department of Physics and Astronomy, and Rice Quantum Institute, Rice University, Houston, Texas 77251-1892, USA

  • *zwzhou@ustc.edu.cn
  • xizhou@ustc.edu.cn

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Vol. 83, Iss. 4 — April 2011

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