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

Žnidarič, Marko (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: quantum physics, quantum information, theoretical physics
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: 8 str.
• Številčenje: Vol. 16, art. no. ǂ4336
• PID: 20.500.12556/RUL-169155
• UDK: 530.145
• ISSN pri članku: 2041-1723
• DOI: 10.1038/s41467-025-59705-2
• COBISS.SI-ID: 235744515
• Datum objave v RUL: 15.05.2025

Gradivo je del revije

• Naslov: Nature communications
• Skrajšan naslov: Nat. Commun.
• Založnik: Nature Publishing Group
• ISSN: 2041-1723
• COBISS.SI-ID: 2315876

Licence

• Licenca: CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
• Opis: Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna fizika, kvantna informacija, teoretična fizika