Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2) \times SU(2)$ Symmetry

F. C. Zhang; Yan Chen; Y. Q. Li; Z. D. Wang

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Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2) \times SU(2)$ Symmetry

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arxiv cond-mat/0606194 v1 pith:QUWYLYJD submitted 2006-06-07 cond-mat.str-el

Yan Chen , Z. D. Wang , Y. Q. Li , F. C. Zhang This is my paper · ORCID

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abstract

Spin-orbital entanglement in quantum spin-orbital systems is quantified by a reduced von Neumann entropy, and is calculated for the ground state of a coupled spin-orbital chain with $SU(2)\times SU(2)$ symmetry. By analyzing the discontinuity and local extreme of the reduced entropy as functions of the model parameters, we deduce a rich phase diagram to describe the quantum phase transitions in the model. Our approach provides an efficient and powerful method to identify phase boundaries in a system with complex correlation between multiply degrees of freedom.

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