article published yes Lenart Zadnik author Marko Ljubotina author F75EE9BE-5C90-11EA-905D-16643DDC885E0000-0003-0038-7068 Žiga Krajnik author Enej Ilievski author Tomaž Prosen author MaSe department Non-Ergodic Quantum Matter: Universality, Dynamics and Control project 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. https://research-explorer.ista.ac.at/download/18176/18183/2024_PRXQuantum_Zadnik.pdf application/pdfno https://creativecommons.org/licenses/by/4.0/ American Physical Society2024 eng 2691-3399 2406.01571 00132717280000110.1103/PRXQuantum.5.030356 53 Zadnik, Lenart, et al. “Quantum Many-Body Spin Ratchets.” <i>PRX Quantum</i>, vol. 5, no. 3, 030356, American Physical Society, 2024, doi:<a href="https://doi.org/10.1103/PRXQuantum.5.030356">10.1103/PRXQuantum.5.030356</a>. L. Zadnik, M. Ljubotina, Ž. Krajnik, E. Ilievski, T. Prosen, PRX Quantum 5 (2024). Zadnik L, Ljubotina M, Krajnik Ž, Ilievski E, Prosen T. 2024. Quantum many-body spin ratchets. PRX Quantum. 5(3), 030356. Zadnik, L., Ljubotina, M., Krajnik, Ž., Ilievski, E., &#38; Prosen, T. (2024). Quantum many-body spin ratchets. <i>PRX Quantum</i>. American Physical Society. <a href="https://doi.org/10.1103/PRXQuantum.5.030356">https://doi.org/10.1103/PRXQuantum.5.030356</a> Zadnik, Lenart, Marko Ljubotina, Žiga Krajnik, Enej Ilievski, and Tomaž Prosen. “Quantum Many-Body Spin Ratchets.” <i>PRX Quantum</i>. American Physical Society, 2024. <a href="https://doi.org/10.1103/PRXQuantum.5.030356">https://doi.org/10.1103/PRXQuantum.5.030356</a>. Zadnik L, Ljubotina M, Krajnik Ž, Ilievski E, Prosen T. Quantum many-body spin ratchets. <i>PRX Quantum</i>. 2024;5(3). doi:<a href="https://doi.org/10.1103/PRXQuantum.5.030356">10.1103/PRXQuantum.5.030356</a> L. Zadnik, M. Ljubotina, Ž. Krajnik, E. Ilievski, and T. Prosen, “Quantum many-body spin ratchets,” <i>PRX Quantum</i>, vol. 5, no. 3. American Physical Society, 2024. 181762024-10-06T22:01:12Z2025-09-08T09:55:09Z