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Entanglement Hamiltonian after a local quench

High Energy Physics - Theory 2025-08-28 v1 Statistical Mechanics Quantum Physics

Abstract

We investigate the dynamics of the entanglement Hamiltonian in a system of one-dimensional free fermions, following a local joining quench of two initially disconnected half-chains in their ground states. Applying techniques of conformal field theory, we obtain a local expression where the left- and right-moving components of the energy density are associated with different weight functions. The results are then compared to numerical calculations for the hopping chain, which requires to consider a proper continuum limit of the lattice entanglement Hamiltonian, obtaining a good agreement with the field-theory prediction.

Keywords

Cite

@article{arxiv.2508.19406,
  title  = {Entanglement Hamiltonian after a local quench},
  author = {Riccarda Bonsignori and Viktor Eisler},
  journal= {arXiv preprint arXiv:2508.19406},
  year   = {2025}
}