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Entanglement evolution after connecting finite to infinite quantum chains

2007/11/02 by V. Eisler, D. Karevski, T. Platini +1 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-5468/2008/01/p01023

published as J. Stat. Mech. (2008) P01023 · 15 pages, 11 figures

arxiv created 2007/11/02 · arxiv updated 2009/12/01

Abstract

We study zero-temperature XX chains and transverse Ising chains and join an initially separate finite piece on one or on both sides to an infinite remainder. In both critical and non-critical systems we find a typical increase of the entanglement entropy after the quench, followed by a slow decay towards the value of the homogeneous chain. In the critical case, the predictions of conformal field theory are verified for the first phase of the evolution, while at late times a step structure can be observed.

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