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arXiv:1003.4846 · The European Physical Journal Special Topics

Creation and manipulation of entanglement in spin chains far from equilibrium

Fernando Galve, David Zueco, Georg M. Reuther, Sigmund Kohler, Peter Hänggi A

Published Dec 1, 2009• 14 citations
arXivHTMLPDF
DOI
10.1140/epjst/e2010-01220-5

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Abstract Entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far, it has only been used to characterise the breaking of continuous Abelian symmetries. In this paper, we extend the concept to cyclic Z N groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks the Z 2 spin parity symmetry in the ferromagnetic phase. We thoroughly investigate the non-equilibrium dynamics of this symmetry after a global quantum quench, generalising known results for the standard order parameter.