Quench dynamics of the topological quantum phase transition in the Wenplaquette model
Abstract
We study the quench dynamics of the topological quantum phase transition in the twodimensional transverse Wenplaquette model, which has a phase transition from a Z{sub 2} topologically ordered to a spinpolarized state. By mapping the Wenplaquette model onto a onedimensional 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 wellknown static critical behavior of the specific heat in the onedimensional quantum Ising model.
 Authors:

 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:
 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 10502947
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXPECTATION VALUE; ISING MODEL; MAPPING; ONEDIMENSIONAL CALCULATIONS; PHASE TRANSFORMATIONS; QUENCHING; SCALING LAWS; SPECIFIC HEAT; SPIN ORIENTATION; TOPOLOGY; TWODIMENSIONAL 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 Wenplaquette model. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.83.062113.
Long, Zhang, Youjin, Deng, & Supeng, Kou. Quench dynamics of the topological quantum phase transition in the Wenplaquette model. United States. https://doi.org/10.1103/PHYSREVA.83.062113
Long, Zhang, Youjin, Deng, and Supeng, Kou. Wed .
"Quench dynamics of the topological quantum phase transition in the Wenplaquette model". United States. https://doi.org/10.1103/PHYSREVA.83.062113.
@article{osti_21550038,
title = {Quench dynamics of the topological quantum phase transition in the Wenplaquette model},
author = {Long, Zhang and Youjin, Deng and Supeng, Kou},
abstractNote = {We study the quench dynamics of the topological quantum phase transition in the twodimensional transverse Wenplaquette model, which has a phase transition from a Z{sub 2} topologically ordered to a spinpolarized state. By mapping the Wenplaquette model onto a onedimensional 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 wellknown static critical behavior of the specific heat in the onedimensional quantum Ising model.},
doi = {10.1103/PHYSREVA.83.062113},
url = {https://www.osti.gov/biblio/21550038},
journal = {Physical Review. A},
issn = {10502947},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {6}
}
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