20.500.12556/RUL-175228 Integrability is generic in homogeneous U(1)-invariant nearest-neighbor qubit circuits Integrability is an exceptional property believed to hold only for systems with fine-tuned parameters. Contrary, we explicitly show that in homogeneous nearest-neighbor qubit circuits with a U(1) symmetry, i.e., circuits that repeatedly apply the same magnetization-conserving two-qubit gate, this is not the case. There, integrability is generic: All such brickwall qubit circuits are integrable, even with a randomly selected gate. We identify two phases with different conservation laws, transport properties, and strong zero edge modes. Experimentally important is the fact that varying any one of the parameters in the generic U(1) gate, one will typically cross the critical manifold that separates the two phases. Finally, we report on an unconventional time-reversal symmetry causing the system with open boundary conditions to be in the orthogonal class, while the one with periodic boundary conditions is in the unitary class. quantum mechanics quantum circuits integrability quantum spin models Floquet systems kvantna mehanika kvantna vezja integrabilnost kvantni spinski modeli Floquetovi sistemi true false true Angleški jezik Slovenski jezik Članek v reviji 2025-10-22 12:30:22 2025-10-22 12:30:23 2025-12-07 04:00:52 0000-00-00 00:00:00 2025 0 0 Str. L020302-1-L020302-6 iss. 2 Vol. 112 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2469-9950 10.1103/tqy8-ynpd 254279683 tqy8-ynpd.pdf tqy8-ynpd.pdf 1 9BE0ECEFDF6543A4F25F1B5676F95A62 49148bb72ebd365b0382b3151b436492d5723c310e0eaea24bce140165e2cf7a f94136f2-af31-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220567 https://journals.aps.org/prb/abstract/10.1103/tqy8-ynpd 0 01ffcea5-af32-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220568 Fakulteta za matematiko in fiziko 0 0 0