Entanglement Hamiltonian after a local quench
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915465899540480 |
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| author | Bonsignori, Riccarda Eisler, Viktor |
| author_facet | Bonsignori, Riccarda Eisler, Viktor |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_19406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement Hamiltonian after a local quench Bonsignori, Riccarda Eisler, Viktor High Energy Physics - Theory Statistical Mechanics Quantum Physics 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. |
| title | Entanglement Hamiltonian after a local quench |
| topic | High Energy Physics - Theory Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2508.19406 |