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

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.062113· OSTI ID:21550038

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

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

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.

• OSTI ID: 21550038
• Journal Information: Physical Review. A, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevA.83.062113; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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