Entanglement evolution after connecting finite to infinite quantum chains

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.

15 pages, 11 figures

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• Quantum noise and entanglement generated by a local quantum quench
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• Growth of mutual information in a quenched one-dimensional open quantum many body system
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• Non-equilibrium transport in $d$-dimensional non-interacting Fermi gases
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• On the phase diagram of the anisotropic XY chain in transverse magnetic field
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• Quantum Decoherence with Holography
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• Subsystem complexity after a local quantum quench
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• Extraction of Pure Entangled States from Many Body Systems by Distant Local Projections
• Ballistic Entanglement Cloud after a Boundary Quench
• Geometric quenches in quasi-disordered lattice system
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• Bubble quenches in the AdS/BCFT model