Entanglement Hamiltonian after a local quench

• URL: http://arxiv.org/abs/2508.19406v1
• Date: Tue, 26 Aug 2025 20:03:02 GMT
• Title: Entanglement Hamiltonian after a local quench
• Authors: Riccarda Bonsignori, Viktor Eisler,
• Abstract summary: We investigate the dynamics of the entanglement Hamiltonian in a system of one-dimensional free fermions.<n>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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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