20.500.12556/RUL-116059 Operator entanglement in local quantum circuits I: Chaotic dual-unitary circuits The entanglement in operator space is a well established measure for the complexity of the quantum many-body dynamics. In particular, that of local operators has recently been proposed as dynamical chaos indicator, i.e. as a quantity able to discriminate between quantum systems with integrable and chaotic dynamics. For chaotic systems the local-operator entanglement is expected to grow linearly in time, while it is expected to grow at most logarithmically in the integrable case. Here we study local-operator entanglement in dual-unitary quantum circuits, a class of "statistically solvable" quantum circuits that we recently introduced. We identify a class of "completely chaotic" dual-unitary circuits where the local-operator entanglement grows linearly and we provide a conjecture for its asymptotic behaviour which is in excellent agreement with the numerical results. Interestingly, our conjecture also predicts a "phase transition" in the slope of the local-operator entanglement when varying the parameters of the circuits. entanglement quantum chaos quantum many-body systems kvantna prepletenost kvantni kaos večdelčni sistemi true false false Angleški jezik Slovenski jezik Neznano 2020-05-12 08:37:58 2020-05-12 08:37:59 2022-08-28 03:47:01 0000-00-00 00:00:00 2020 0 0 28 str. art. no. 067 Vol. 8 Apr. 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2542-4653 10.21468/SciPostPhys.8.4.067 14721795 526154521 RAZ_Bertini_Bruno_2020.pdf RAZ_Bertini_Bruno_2020.pdf 1 0B0310ED21A7761AC724D012810E0BE1 aa4e0f724d3ce4d0d99034236a7ede85161648732d035e397afd24422a80172f 98003e8f-a1bb-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140150 https://scipost.org/10.21468/SciPostPhys.8.4.067 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140151 Fakulteta za matematiko in fiziko 0 0 0