20.500.12556/RUL-162725 Quantum many-body spin ratchets Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin-transport properties. Upon adjusting parameters of local unitary gates, the dynamics can be either chaotic or integrable. The latter corresponds to a generalization of the space-time discretized (Trotterized) higher-spin quantum Heisenberg chain. We demonstrate that breaking of space-reflection symmetry results in a drift in the dynamical spin susceptibility. Remarkably, we find a universal drift velocity given by a simple formula, which, at zero average magnetization, depends only on the values of SU(2) Casimir invariants associated with local spins. In the integrable case, the drift velocity formula is confirmed analytically based on the exact solution of thermodynamic Bethe ansatz equations. Finally, by inspecting the large fluctuations of the time-integrated current between two halves of the system in stationary maximum-entropy states, we demonstrate violation of the Gallavotti-Cohen symmetry, implying that such states cannot be regarded as equilibrium ones. We show that the scaled cumulant generating function of the time-integrated current instead obeys a generalized fluctuation relation. nonequilibrium statistical mechanics quantum mechanics many-body systems anomalous diffusion quantum circuits qudits transport phenomena Floquet systems quantum spin models Bethe ansatz exact solutions for many-body systems full counting statistics integrable systems large deviation & rare event statistics linear response theory tensor network methods neravnovesna statistična mehanika kvantna mehanika večdelčni sistemi true false true Angleški jezik Slovenski jezik Članek v reviji 2024-09-26 14:16:36 2024-09-26 14:16:37 2025-06-02 15:34:06 0000-00-00 00:00:00 2024 0 0 26 str. iss. 3, art. 030356 Vol. 5 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.9 2691-3399 10.1103/PRXQuantum.5.030356 209100803 PRXQuantum.5.030356.pdf PRXQuantum.5.030356.pdf 1 BC230631255D3BCF8BCBBC8FDBFEFCF2 efc93a645a1d45d9093139822eea7fef3e5c220322b8977369426ac71a7da485 9d36aff6-7c02-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=192145 https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.5.030356 0 a514c4e8-7c02-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=192146 Fakulteta za matematiko in fiziko 0 0 0