Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport

Žnidarič, Marko (author)

Symmetries are important for understanding equilibrium as well as nonequilibrium properties like transport. In translationally invariant extended systems one might expect symmetry generators to also be homogeneous. Studying qubit circuits with nearest-neighbor U(1) gates we show that this needs not be the case. We find new inhomogeneous screw SU(2) and $\rm{U}_{q}(\mathfrak{sl}_{2})$ symmetries whose generators exhibit a spatial quasi-momentum modulation. They can be viewed as a parameter-dependent generalization of the standard rotational symmetry of the Heisenberg model and can be identified by the Ruelle-Pollicott spectrum of a momentum-resolved propagator. Rich integrability structure is reflected also in transport: picking an arbitrary U(1) gateand varying the gate duration one will transition through different phases, including fractal ballistic transport, Kardar-Parisi-Zhang superdiffusion at the critical manifold that also contains helix states, diffusion, and localization. To correctly explain transport the non-local SU(2) symmetries do not matter, while the inhomogeneous local ones that almost commute with the propagator do.

• Language: English
• Keywords: quantum physics, quantum information, theoretical physics
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 8 str.
• Numbering: Vol. 16, art. no. ǂ4336
• PID: 20.500.12556/RUL-169155
• UDC: 530.145
• ISSN on article: 2041-1723
• DOI: 10.1038/s41467-025-59705-2
• COBISS.SI-ID: 235744515
• Publication date in RUL: 15.05.2025

Record is a part of a journal

• Title: Nature communications
• Shortened title: Nat. Commun.
• Publisher: Nature Publishing Group
• ISSN: 2041-1723
• COBISS.SI-ID: 2315876

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: kvantna fizika, kvantna informacija, teoretična fizika