20.500.12556/RUL-169155 Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport 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. quantum physics quantum information theoretical physics kvantna fizika kvantna informacija teoretična fizika true false true Angleški jezik Slovenski jezik Članek v reviji 2025-05-15 11:34:06 2025-05-15 11:34:07 2025-05-16 03:56:44 0000-00-00 00:00:00 2025 0 0 8 str. art. no. ǂ4336 Vol. 16 May 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2041-1723 10.1038/s41467-025-59705-2 235744515 s41467-025-59705-2.pdf s41467-025-59705-2.pdf 1 982472142A1A71CF3511823BFBA392CB 510103b54042d6d8a463ce5faa23e90335671375f34619b18e4d8172220fde12 55ab09c8-3172-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210349 https://www.nature.com/articles/s41467-025-59705-2 0 616004e2-3172-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210350 Fakulteta za matematiko in fiziko 0 0 0