| Title: |
Highly Entangled Stationary States from Strong Symmetries |
| Authors: |
Li, Yahui; Pollmann, Frank; Read, Nicholas; Sala, Pablo |
| Source: |
Physical Review X, 15(1), 011068, (2025-03-21) |
| Publisher Information: |
American Physical Society |
| Publication Year: |
2025 |
| Collection: |
Caltech Authors (California Institute of Technology) |
| Subject Terms: |
Dissipative dynamics; Open quantum systems & decoherence; Quantum channels; Quantum entanglement; Quantum many-body systems; Exact solutions for many-body systems |
| Description: |
We find that the presence of strong non-Abelian symmetries can lead to highly entangled stationary states even for unital quantum channels. We derive exact expressions for the bipartite logarithmic negativity, Rényi negativities, and operator space entanglement for stationary states restricted to one symmetric subspace, with focus on the trivial subspace. We prove that these apply to open quantum evolutions whose commutants, characterizing all strongly conserved quantities, correspond to either the universal enveloping algebra of a Lie algebra or the Read-Saleur commutants. The latter provides an example of quantum fragmentation, whose dimension is exponentially large in system size. We find a general upper bound for all these quantities given by the logarithm of the dimension of the commutant on the smaller bipartition of the chain. As Abelian examples, we show that strong U(1) symmetries and classical fragmentation lead to separable stationary states in any symmetric subspace. In contrast, for non-Abelian SU(N) symmetries, both logarithmic and Rényi negativities scale logarithmically with system size. Finally, we prove that, while Rényi negativities with n2 scale logarithmically with system size, the logarithmic negativity (as well as generalized Rényi negativities with n |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
https://doi.org/10.5281/zenodo.13292265; https://arxiv.org/abs/arXiv:2406.08567; https://authors.library.caltech.edu/communities/caltechauthors/; https://doi.org/10.1103/physrevx.15.011068 |
| DOI: |
10.1103/physrevx.15.011068 |
| Availability: |
https://doi.org/10.1103/physrevx.15.011068 |
| Rights: |
info:eu-repo/semantics/openAccess ; Creative Commons Attribution 4.0 International ; https://creativecommons.org/licenses/by/4.0/legalcode |
| Accession Number: |
edsbas.A7A4B20F |
| Database: |
BASE |