Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport
| Autor: | Znidaric, Marko |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study symmetries of quantum circuits with nearest-neighbor U(1) gates discovering new inhomogeneous screw SU(2) and ${\rm U}_q({\rm sl}_2)$ symmetries. Despite the model being homogeneous -- all gates are the same -- symmetry generators are not. Rather, they exhibit an even-odd staggering and a nonzero quasi-momentum, and depend on gate parameters. Such parameter-dependent symmetries can be identified by the Ruelle-Pollicott spectrum of a momentum-resolved truncated propagator. We also study transport, showing that picking an arbitrary U(1) gate and varying the gate duration one will transition trough different regimes: fractal ballistic transport, Kardar-Parisi-Zhang superdiffusion at the critical manifold including superdiffusive helix states, and diffusion within which there is also 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. Comment: 8 pages |
| Databáze: | arXiv |
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