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

References in corpus (5)

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Cited by in corpus (6)

• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Quantum Quench from a Thermal Initial State
• Entanglement in spin chains with gradients
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Work fluctuations in quantum spin chains
• Extraction of Pure Entangled States from Many Body Systems by Distant Local Projections