20.500.12556/RUL-182242 Ruelle-Pollicott resonances of diffusive U(1)-invariant qubit circuits We study Ruelle-Pollicott resonances of translationally invariant magnetization-conserving qubit circuits via the spectrum of the quasi-momentum-resolved truncated propagator of extensive observables. Diffusive transport of the conserved magnetization is reflected in the Gaussian quasi-momentum $k$ dependence of the leading eigenvalue (Ruelle-Pollicott resonance) of the truncated propagator for small $k$. This, in particular, allows us to extract the diffusion constant. For large $k$, the leading Ruelle-Pollicott resonance is not related to transport and governs the exponential decay of correlation functions. Additionally, we conjecture the existence of a continuum of eigenvalues below the leading diffusive resonance, which governs non-exponential decay, for instance, power-law hydrodynamic tails. We expect our conclusions to hold for generic systems with exactly one U(1) conserved quantity. open quantum systems Floquet systems quantum chaos quantum spin chains diffusion odprti kvantni sistemi Floquetovi sistemi kvantni kaos kvantne spinske verige difuzija true false true Angleški jezik Slovenski jezik Članek v reviji 2026-05-05 09:12:46 2026-05-05 09:12:47 2026-05-06 04:29:06 0000-00-00 00:00:00 2026 0 0 32 str. iss. 2, art. no. 061 Vol. 20 Feb. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2542-4653 10.21468/SciPostPhys.20.2.061 276525827 https://scipost.org/10.21468/SciPostPhys.20.2.061 1 8a06f2c7-4851-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233314 SciPostPhys_20_2_061.pdf SciPostPhys_20_2_061.pdf 1 43CDFE65E6FE84BFD8CFCF6BBF7142E3 228152c378d691e2b12dc99bb4a36091ead374661749e1d76aee3cf85d03a0f6 eaa8c6d5-4851-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233315 Fakulteta za matematiko in fiziko 0 0 0