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Quantum phases and dynamics of geometric phase in a quantum spin chain under linear quench

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Abstract

We study the quantum phases of anisotropic XY spin chain in presence and absence of adiabatic quench. A connection between geometric phase and criticality is established from the dynamical behavior of the geometric phase for a quench induced quantum phase transition in a quantum spin chain. We predict XX criticality associated with a sequence of non-contractible geometric phases.

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Authors and Affiliations

  1. Poornaprajna Institute of Scientific Research, 4 Sadashivanagar, 560080, Bangalore, India

    S. Sarkar

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 700108, Kolkata, India

    B. Basu

Authors
  1. S. Sarkar
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  2. B. Basu
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Correspondence to S. Sarkar.

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Sarkar, S., Basu, B. Quantum phases and dynamics of geometric phase in a quantum spin chain under linear quench. Eur. Phys. J. B 85, 403 (2012). https://doi.org/10.1140/epjb/e2012-30428-0

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  • DOI: https://doi.org/10.1140/epjb/e2012-30428-0

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