20.500.12556/RUL-117819 Spectral and steady-state properties of random Liouvillians We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We establish that the global spectral features, the spectral gap, and the steady-state properties follow three different regimes as a function of the dissipation strength, whose boundaries depend on the particular quantity. Within each regime, we determine the scaling exponents with the dissipation strength and system size. We find that, for two or more dissipation channels, the spectral gap increases with the system size. The spectral distribution of the steady state is Poissonian at low dissipation strength and conforms to that of a random matrix once the dissipation is sufficiently strong. Our results can help to understand the long-time dynamics and steady-state properties of generic dissipative systems. open quantum systems quantum chaos odprti kvantni sistemi kvantni kaos true false false Angleški jezik Slovenski jezik Neznano 2020-07-28 11:25:08 2020-07-28 11:25:08 2022-08-30 04:00:25 0000-00-00 00:00:00 2020 0 0 20 str. art. no. 305303 Vol. 53 July 2020 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2021-07-06 530.145 1751-8113 10.1088/1751-8121/ab9337 23780099 3692314 RAZ_Sa_Lucas_2020.pdf RAZ_Sa_Lucas_2020.pdf 1 5E51A911BB9DB3BC17FB47075B9D29E4 71bc66b24f6b3d17b17425953a59b755ffff335d031d9189cf3fed917125b946 4520f0a9-a1b9-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=131722 https://iopscience.iop.org/article/10.1088/1751-8121/ab9337 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140298 Fakulteta za matematiko in fiziko 0 0 0