Typical entanglement entropy with charge conservation

• URL: http://arxiv.org/abs/2604.26141v1
• Date: Tue, 28 Apr 2026 22:02:38 GMT
• Title: Typical entanglement entropy with charge conservation
• Abstract summary: We find a general formula which applies both to abelian U(1) symmetry and non-abelian SU(2) symmetry.<n>We illustrate the general formula with model systems and discuss the relevance of the results as a probe of quantum chaos for physical Hamiltonians.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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) 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.

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