Ground-state information geometry and quantum criticality in an inhomogeneous spin model

doi:10.1088/1674-1056/24/9/090301

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 J_a=J_b, 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: yqma@bistu.edu.cn

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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Ground-state information geometry and quantum criticality in an inhomogeneous spin model

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