Phase diagram and sweep dynamics of a one-dimensional generalized cluster model

Takumi Ohta, Shu Tanaka, Ippei Danshita, Keisuke Totsuka

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7 Citations (Scopus)


We numerically study quantum phase transitions and dynamical properties in the one-dimensional cluster model with several interactions by using the time-evolving block decimation method for infinite systems and the exact diagonalization. First, boundaries among several quantum phases of the model are determined from energy gap and each phase is characterized by order parameters and the entanglement spectrum (ES). We confirm that in the model with open boundary condition the degeneracy of the lowest levels in the ES corresponds to that of the ground states. Then, using the time-dependent Bogoliubov transformation with open boundary condition, we investigate dynamical properties during an interaction sweep through the critical point which separates two topological phases involving four-fold degeneracy in the ground state. After a slow sweep across the critical point, we observe spatially periodic structures in the string correlation functions and the entanglement entropy. It is shown that the periodicities stem from the Bogoliubov quasiparticles generated near the critical point.

Original languageEnglish
Article number063001
JournalJournal of the Physical Society of Japan
Issue number6
Publication statusPublished - 2015 Jun 15
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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