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Peer-reviewedCC BY 4.0SciPost

Typical entanglement entropy with charge conservation

  • Eugenio Bianchi1
  • Pietro Donà2,3,4
  • Erick Muiño1
4 affiliations
  1. 1Pennsylvania State University
  2. 2Aix-Marseille University
  3. 3French National Centre for Scientific Research
  4. 4Université de Toulon
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Abstract

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) U ( 1 ) symmetry and non-abelian SU(2) S U ( 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.

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Cite

BibTeXRIS
BibTeX
@article{bianchi2026typical,
  title = {{Typical entanglement entropy with charge conservation}},
  author = {Eugenio Bianchi and Pietro Donà and Erick Muiño},
  journal = {SciPost},
  year = {2026},
  month = oct,
  doi = {10.21468/scipostphys.21.4.107},
  eprint = {2604.26141},
  archivePrefix = {arXiv},
  url = {http://scipost.org/SciPostPhys.21.4.107},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Typical entanglement entropy with charge conservation
AU  - Eugenio Bianchi
AU  - Pietro Donà
AU  - Erick Muiño
PY  - 2026
DA  - 2026/10/06
JO  - SciPost
DO  - 10.21468/scipostphys.21.4.107
UR  - http://scipost.org/SciPostPhys.21.4.107
AB  - 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) U ( 1 ) symmetry and non-abelian SU(2) S U ( 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.
SN  - 2542-4653
ER  -