Quantum renormalization of entanglement in an antisymmetric anisotropic and bond-alternating spin system

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.044301· OSTI ID:21408745

Xiang, Hao ^[1]

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1. Department of Physics, School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215011 (China)

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange interactions. The quantum phase transitions can be characterized by the discontinuity in the second derivative of the energy of the renormalized ground state. A phase diagram is obtained by the critical boundary line. The first derivative of entanglement entropy also diverges at the same critical points after enough iterations of the renormalization of the coupling constants. The antisymmetric anisotropy and alternating interaction can enhance the renormalized entanglement via the creation of quantum fluctuations. The scaling behavior of the derivative of the entropy around the critical points manifests the logarithm dependence on the size of the spin system.

• OSTI ID: 21408745
• Journal Information: Physical Review. A, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevA.81.044301; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
36 MATERIALS SCIENCE
ANISOTROPY
COUPLING CONSTANTS
ENTROPY
EXCHANGE INTERACTIONS
FLUCTUATIONS
GROUND STATES
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
RENORMALIZATION
SPIN
ANGULAR MOMENTUM
DIAGRAMS
ENERGY LEVELS
INFORMATION
INTERACTIONS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
VARIATIONS