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Phase diagram and quench dynamics of the cluster-XY spin chain

Sebastián Montes*

Alioscia Hamma†

  • Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, Canada N2L 2Y5 and University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1

  • Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, Canada N2L 2Y5

  • *smontesvalencia@perimeterinstitute.ca
  • †ahamma@perimeterinstitute.ca
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Phys. Rev. E 86, 021101 – Published 1 August, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.021101

Abstract

We study the complete phase space and the quench dynamics of an exactly solvable spin chain, the cluster-XY model. In this chain, the cluster term and the XY couplings compete to give a rich phase diagram. The phase diagram is studied by means of the quantum geometric tensor. We study the time evolution of the system after a critical quantum quench using the Loschmidt echo. The structure of the revivals after critical quantum quenches presents a nontrivial behavior depending on the phase of the initial state and the critical point.

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Outline

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Phys. Rev. E 86, 021101– Published 1 August, 2012
  • Received 25 December 2011

©2012 American Physical Society

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