Quantum entanglement and pairing correlation in the reduced BCS pairing model

► Entanglement entropy of the reduced BCS model is investigated by PHDMRG technique. ► A convergence radius is detected by the first order derivative of entanglement entropy. ► Entanglement entropy is size dependent, and a logarithm volume law is suggested. Using the particle–hole version of the den...

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Bibliographic Details
Published in:Physica. C, Superconductivity Superconductivity, 2012, Vol.472 (1), p.10-14
Main Authors: Liu, Guang-Hua, Deng, Xiao-Yan, Wen, Rui
Format: Article
Language:English
Subjects:
BCS
Bcs theory and its development
Blocking
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Convergence
Correlation
Derivatives
Entanglement
Exact sciences and technology
Joining
Mathematical models
Pairing correlation
Physics
Quantum entanglement
Superconductivity
Theory and models of superconducting state
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Summary:► Entanglement entropy of the reduced BCS model is investigated by PHDMRG technique. ► A convergence radius is detected by the first order derivative of entanglement entropy. ► Entanglement entropy is size dependent, and a logarithm volume law is suggested. Using the particle–hole version of the density-matrix renormalization-group technique, the pairing correlation and the quantum entanglement of the reduced BCS pairing model are investigated. Both of them behave smoothly from the weak to the strong coupling regimes. A convergence radius (∼1/ln Ω) of condensation energy is detected by the first order derivative of the block–block entanglement. Furthermore, the block–block entanglement in the strong coupling regime shows distinct size dependence, and a logarithmic volume law is suggested numerically.
ISSN:0921-4534
1873-2143
DOI:10.1016/j.physc.2011.10.001