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Chin. Phys. B, 2015, Vol. 24(9): 090301    DOI: 10.1088/1674-1056/24/9/090301
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Ground-state information geometry and quantum criticality in an inhomogeneous spin model

Ma Yu-Quan (马余全)
School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
Abstract  We investigate the ground-state Riemannian metric and the cyclic quantum distance of an inhomogeneous quantum spin-1/2 chain in a transverse field. This model can be diagonalized by using a general canonical transformation to the fermionic Hamiltonian mapped from the spin system. The ground-state Riemannian metric is derived exactly on a parameter manifold ring S1, which is introduced by performing a gauge transformation to the spin Hamiltonian through a twist operator. The cyclic ground-state quantum distance and the second derivative of the ground-state energy are studied in different exchange coupling parameter regions. Particularly, we show that, in the case of exchange coupling parameter Ja=Jb, the quantum ferromagnetic phase can be characterized by an invariant quantum distance and this distance will decay to zero rapidly in the paramagnetic phase.
Keywords:  quantum geometry tensor      topological order      quantum phase transition  
Received:  24 March 2015      Revised:  27 May 2015      Accepted manuscript online: 
PACS:  03.65.Vf (Phases: geometric; dynamic or topological)  
  75.10.Pq (Spin chain models)  
  73.43.Nq (Quantum phase transitions)  
  05.70.Jk (Critical point phenomena)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11404023 and 11347131).
Corresponding Authors:  Ma Yu-Quan     E-mail:

Cite this article: 

Ma Yu-Quan (马余全) Ground-state information geometry and quantum criticality in an inhomogeneous spin model 2015 Chin. Phys. B 24 090301

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