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Title: Dynamical phase transitions and temperature-induced quantum correlations in an infinite spin chain

Abstract

We study the dynamics of entanglement in the infinite asymmetric XY spin chain, in an applied transverse field. The system is prepared in a thermal equilibrium state (ground state at zero temperature) at the initial instant, and it starts evolving after the transverse field is completely turned off. We investigate the evolved state of the chain at a given fixed time, and show that the nearest-neighbor entanglement in the chain exhibits a critical behavior (which we call a dynamical phase transition), controlled by the initial value of the transverse field. The character of the dynamical phase transition is qualitatively different for short and long evolution times. We also find a nonmonotonic behavior of entanglement with respect to the temperature of the initial equilibrium state. Interestingly, the region of the initial field for which we obtain a nonmonotonicity of entanglement (with respect to temperature) is directly related to the position and character of the dynamical phase transition in the model.

Authors:
; ;  [1]
  1. ICFO-Institut de Ciencies Fotoniques, Jordi Girona 29, Edifici Nexus II, E-08034 Barcelona (Spain) and Institut fuer Theoretische Physik, Universitaet Hannover, D-30167 Hannover (Germany)
Publication Date:
OSTI Identifier:
20786471
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.052319; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 36 MATERIALS SCIENCE; ASYMMETRY; CORRELATIONS; GROUND STATES; INFORMATION THEORY; PHASE TRANSFORMATIONS; QUANTUM ENTANGLEMENT; SPIN; THERMAL EQUILIBRIUM

Citation Formats

Sen, Aditi, Sen, Ujjwal, and Lewenstein, Maciej. Dynamical phase transitions and temperature-induced quantum correlations in an infinite spin chain. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Sen, Aditi, Sen, Ujjwal, & Lewenstein, Maciej. Dynamical phase transitions and temperature-induced quantum correlations in an infinite spin chain. United States. https://doi.org/10.1103/PHYSREVA.72.0
Sen, Aditi, Sen, Ujjwal, and Lewenstein, Maciej. 2005. "Dynamical phase transitions and temperature-induced quantum correlations in an infinite spin chain". United States. https://doi.org/10.1103/PHYSREVA.72.0.
@article{osti_20786471,
title = {Dynamical phase transitions and temperature-induced quantum correlations in an infinite spin chain},
author = {Sen, Aditi and Sen, Ujjwal and Lewenstein, Maciej},
abstractNote = {We study the dynamics of entanglement in the infinite asymmetric XY spin chain, in an applied transverse field. The system is prepared in a thermal equilibrium state (ground state at zero temperature) at the initial instant, and it starts evolving after the transverse field is completely turned off. We investigate the evolved state of the chain at a given fixed time, and show that the nearest-neighbor entanglement in the chain exhibits a critical behavior (which we call a dynamical phase transition), controlled by the initial value of the transverse field. The character of the dynamical phase transition is qualitatively different for short and long evolution times. We also find a nonmonotonic behavior of entanglement with respect to the temperature of the initial equilibrium state. Interestingly, the region of the initial field for which we obtain a nonmonotonicity of entanglement (with respect to temperature) is directly related to the position and character of the dynamical phase transition in the model.},
doi = {10.1103/PHYSREVA.72.0},
url = {https://www.osti.gov/biblio/20786471}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}