20.500.12556/RUL-128559 Entanglement growth in diffusive systems Entanglement helps in understanding diverse phenomena, going from quantifying complexity to classifying phases of matter. Here we study the influence of conservation laws on entanglement growth. Focusing on systems with U(1) symmetry, i.e., conservation of charge or magnetization, that exhibits diffusive dynamics, we theoretically predict the growth of entanglement, as quantified by the Rényi entropy, in lattice systems in any spatial dimension d and for any local Hilbert space dimension q (qudits). We find that the growth depends both on d and q, and is in generic case first linear in time, similarly as for systems without any conservation laws. Exception to this rule are chains of 2-level systems where the dependence is a square-root of time at all times. Predictions are numerically verified by simulations of diffusive Clifford circuits with upto ~ 10$^5$ qubits. Such efficiently simulable circuits should be a useful tool for other many-body problems. quantum mechanics entanglement statistical mechanics condensed matter physics kvantna mehanika prepletenost statistična mehanika fizika kondenzirane snovi true false true Angleški jezik Slovenski jezik Članek v reviji 2021-07-19 15:07:06 2021-07-19 15:07:07 2022-09-07 04:15:56 0000-00-00 00:00:00 2020 0 0 9 str. art. 100 Vol. 3 Jun. 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2399-3650 10.1038/s42005-020-0366-7 17689859 RAZ_Znidaric_Marko_2020.pdf RAZ_Znidaric_Marko_2020.pdf 1 2401056AB5A1337EEB2267F30391753D 2035aa34a2e37361edace05d90dde76a9d3e37b27ffb0ae00025265b8bf7722d 8264fb01-e892-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=145341 https://www.nature.com/articles/s42005-020-0366-7 0 77a1c2af-e892-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=145340 Fakulteta za matematiko in fiziko 0 0 0