Typical entanglement entropy with fixed global charge is given by the local thermal entropy at fixed charge density for both U(1) and SU(2) symmetries in the thermodynamic limit.
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A (1+1)D SU(2) lattice gauge theory with dynamical matter exhibits ergodic, fragmented, and disorder-free many-body localized phases under non-Abelian gauge constraints, with the localized regime preserving spatial inhomogeneities via sector superpositions.
Energy eigenstates in SU(2)-symmetric quantum many-body systems obey a KMS relation whose finite-size correction scales as usual or polynomially larger depending on circumstances, supported by numerics on small Heisenberg chains.
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Typical entanglement entropy with charge conservation
Typical entanglement entropy with fixed global charge is given by the local thermal entropy at fixed charge density for both U(1) and SU(2) symmetries in the thermodynamic limit.
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Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
A (1+1)D SU(2) lattice gauge theory with dynamical matter exhibits ergodic, fragmented, and disorder-free many-body localized phases under non-Abelian gauge constraints, with the localized regime preserving spatial inhomogeneities via sector superpositions.
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Kubo-Martin-Schwinger relation for energy eigenstates of SU(2)-symmetric quantum many-body systems
Energy eigenstates in SU(2)-symmetric quantum many-body systems obey a KMS relation whose finite-size correction scales as usual or polynomially larger depending on circumstances, supported by numerics on small Heisenberg chains.