Abstract
By means of the Loschmidt Echo (LE) and Berry Phase (BP) calculations, quantum phase transition (QPT) of an XY spin chain with three-site interaction ( α) in a transverse magnetic field ( λ) is studied. Both the LE and BPʼs λ derivative present anomaly behaviors at the critical regions λ 1 , λ 2 and λ 3 . The model is in the Ferromagnetic phase as λ > λ 1 = 1 + α and in the Spin Liquid I phase as − 1 + α < λ < 1 + α . λ 1 and λ 2 are independent on the anisotropy parameter γ. But, the anisotropy interaction can shift the critical line λ 3 between the Spin Liquid II phase and the Ferromagnetic phase. The present work suggests that QPT of the XY spin chain with three-site interaction can be characterized by exploring the dynamical behaviors of the LE and BP.
Published Version
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