Quench dynamics of the topological quantum phase transition in the Wen-plaquette model

doi:https://doi.org/10.1103/PHYSREVA.83.062113

Title: Quench dynamics of the topological quantum phase transition in the Wen-plaquette model

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Abstract

We study the quench dynamics of the topological quantum phase transition in the two-dimensional transverse Wen-plaquette model, which has a phase transition from a Z{sub 2} topologically ordered to a spin-polarized state. By mapping the Wen-plaquette model onto a one-dimensional quantum Ising model, we calculate the expectation value of the plaquette operator F{sub i} during a slowly quenching process from a topologically ordered state. A logarithmic scaling law of quench dynamics near the quantum phase transition is found, which is analogous to the well-known static critical behavior of the specific heat in the one-dimensional quantum Ising model.

Authors:

Long, Zhang; Youjin, Deng ^[1]; Supeng, Kou ^[2]

Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026 (China)
Department of Physics, Beijing Normal University, Beijing 100875 (China)

Publication Date:: 2011-06-15

OSTI Identifier:: 21550038

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.83.062113; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXPECTATION VALUE; ISING MODEL; MAPPING; ONE-DIMENSIONAL CALCULATIONS; PHASE TRANSFORMATIONS; QUENCHING; SCALING LAWS; SPECIFIC HEAT; SPIN ORIENTATION; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS; CRYSTAL MODELS; MATHEMATICAL MODELS; MATHEMATICS; ORIENTATION; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Citation Formats


                    Long, Zhang, Youjin, Deng, and Supeng, Kou. Quench dynamics of the topological quantum phase transition in the Wen-plaquette model.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVA.83.062113.

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                    Long, Zhang, Youjin, Deng, & Supeng, Kou. Quench dynamics of the topological quantum phase transition in the Wen-plaquette model.  United States.  https://doi.org/10.1103/PHYSREVA.83.062113

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                    Long, Zhang, Youjin, Deng, and Supeng, Kou. Wed .  
        "Quench dynamics of the topological quantum phase transition in the Wen-plaquette model".  United States.  https://doi.org/10.1103/PHYSREVA.83.062113.

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@article{osti_21550038,

  title        = {Quench dynamics of the topological quantum phase transition in the Wen-plaquette model},

  author       = {Long, Zhang and Youjin, Deng and Supeng, Kou},

  abstractNote = {We study the quench dynamics of the topological quantum phase transition in the two-dimensional transverse Wen-plaquette model, which has a phase transition from a Z{sub 2} topologically ordered to a spin-polarized state. By mapping the Wen-plaquette model onto a one-dimensional quantum Ising model, we calculate the expectation value of the plaquette operator F{sub i} during a slowly quenching process from a topologically ordered state. A logarithmic scaling law of quench dynamics near the quantum phase transition is found, which is analogous to the well-known static critical behavior of the specific heat in the one-dimensional quantum Ising model.},

  doi          = {10.1103/PHYSREVA.83.062113},

  url          = {https://www.osti.gov/biblio/21550038},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 6,

  volume       = 83,

  place        = {United States},

  year         = {2011},

  month        = {6}

}

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