Evolution of entanglement after a local quench

Abstract

We study free electrons on an infinite half-filled chain, starting in the ground state with a bond defect. We find a logarithmic increase of the entanglement entropy after the defect is removed, followed by a slow relaxation towards the value of the homogeneous chain. The coefficients depend continuously on the defect strength.

14 pages, 9 figures, final version

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• General entanglement scaling laws from time evolution
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Entanglement in the XX spin chain with an energy current
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Cited by in corpus (14)

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• Exploring local quantum many-body relaxation by atoms in optical superlattices
• Quantum Quench from a Thermal Initial State
• Entanglement evolution after connecting finite to infinite quantum chains
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Entanglement in spin chains with gradients
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Ground-state reference systems for expanding correlated fermions in one dimension
• Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
• Entanglement Entropy in Extended Quantum Systems
• Excitations in two-component Bose-gases
• Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States