TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.5.127
TI  - Non-Abelian symmetry-resolved entanglement entropy
PY  - 2024/11/05
UR  - https://scipost.org/SciPostPhys.17.5.127
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 5
SP  - 127
A1  - Bianchi, Eugenio
AU  - Dona, Pietro
AU  - Kumar, Rishabh
AB  - We introduce a mathematical framework for symmetry-resolved entanglement entropy with a non-Abelian symmetry group. To obtain a reduced density matrix that is block-diagonal in the non-Abelian charges, we define subsystems operationally in terms of subalgebras of invariant observables. We derive exact formulas for the average and the variance of the typical entanglement entropy for the ensemble of random pure states with fixed non-Abelian charges. We focus on compact, semisimple Lie groups. We show that, compared to the Abelian case, new phenomena arise from the interplay of locality and non-Abelian symmetry, such as the asymmetry of the entanglement entropy under subsystem exchange, which we show in detail by computing the Page curve of a many-body system with $SU(2)$ symmetry.
ER  -

@Article{10.21468/SciPostPhys.17.5.127,
	title={{Non-Abelian symmetry-resolved entanglement entropy}},
	author={Eugenio Bianchi and Pietro Dona and Rishabh Kumar},
	journal={SciPost Phys.},
	volume={17},
	pages={127},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.5.127},
	url={https://scipost.org/10.21468/SciPostPhys.17.5.127},
}