Zhe Sun et al 2009 New J. Phys. 11 113005 doi:10.1088/1367-2630/11/11/113005
Operator fidelity approach to the quantum phase transition of the spin-1/2 XX chain with three-spin interaction and the (1/2,1) XXZ mixed-spin chain
Zhe Sun1,3, Xiao-Ming Lu2, Heng-Na Xiong2 and Jian Ma2
Show affiliationsWe make use of the operator fidelity and its susceptibility to study the quantum phase transition (QPT) of the spin-1/2 XX spin chain with three-spin interaction. The analytical results of operator fidelity and the susceptibility are obtained. From the numerical results one can see that the operator fidelity and its susceptibility present nontrivial behaviors at the critical point. We also consider the (1/2, 1) XXZ mixed-spin chain in which the ground states are degenerate. The operator fidelity approach is still effective to indicate the QPT in this system. We also generally analyze the relation between operator fidelity and QPT.
- PACS
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73.43.Nq Quantum phase transitions
75.30.Cr Saturation moments and magnetic susceptibilities
- Subjects
- Dates
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Issue 11 (November 2009)
Received 14 May 2009
Published 4 November 2009
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Operator fidelity approach to the quantum phase transition of the spin-1/2 XX chain with three-spin interaction and the (1/2,1) XXZ mixed-spin chain
Zhe Sun et al 2009 New J. Phys. 11 113005
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Special session of the Uspekhi Fizicheskikh Nauk Editorial Board celebrating the 90th anniversary of the journal
(19 November 2008)Vitalii L Ginzburg et al 2009 Phys.-Usp. 52 529
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