Typical entanglement entropy with charge conservation
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908999725613056 |
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| author | Bianchi, Eugenio Donà, Pietro Muiño, Erick |
| author_facet | Bianchi, Eugenio Donà, Pietro Muiño, Erick |
| contents | We consider a many-body Hilbert space with a fixed global charge and show that the typical entanglement entropy of a subsystem, at the leading and subleading order in the thermodynamic limit, can be expressed in terms of a single quantity which represents the local thermal entropy at fixed charge density. We find a general formula which applies both to abelian U(1) symmetry and non-abelian SU(2) symmetry, including the case of a local Hilbert space which transforms under a general reducible representation of the symmetry group. We illustrate the general formula with model systems and discuss the relevance of the results as a probe of quantum chaos for physical Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26141 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Typical entanglement entropy with charge conservation Bianchi, Eugenio Donà, Pietro Muiño, Erick Quantum Physics Statistical Mechanics General Relativity and Quantum Cosmology We consider a many-body Hilbert space with a fixed global charge and show that the typical entanglement entropy of a subsystem, at the leading and subleading order in the thermodynamic limit, can be expressed in terms of a single quantity which represents the local thermal entropy at fixed charge density. We find a general formula which applies both to abelian U(1) symmetry and non-abelian SU(2) symmetry, including the case of a local Hilbert space which transforms under a general reducible representation of the symmetry group. We illustrate the general formula with model systems and discuss the relevance of the results as a probe of quantum chaos for physical Hamiltonians. |
| title | Typical entanglement entropy with charge conservation |
| topic | Quantum Physics Statistical Mechanics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.26141 |