%0 Journal Article %1 PhysRevLett.127.050602 %A Mori, Takashi %A Zhao, Hongzheng %A Mintert, Florian %A Knolle, Johannes %A Moessner, Roderich %D 2021 %I American Physical Society %J Phys. Rev. Lett. %K a %N 5 %P 050602 %R 10.1103/PhysRevLett.127.050602 %T Rigorous bounds on the heating rate in Thue-Morse quasiperiodically and randomly driven quantum many-body systems %U https://link.aps.org/doi/10.1103/PhysRevLett.127.050602 %V 127 %X The nonequilibrium quantum dynamics of closed many-body systems is a rich yet challenging field. While recent progress for periodically driven (Floquet) systems has yielded a number of rigorous results, our understanding on quantum many-body systems driven by rapidly varying but aperiodic and quasiperiodic driving is still limited. Here, we derive rigorous, nonperturbative, bounds on the heating rate in quantum many-body systems under Thue-Morse quasiperiodic driving and under random multipolar driving, the latter being a tunably randomized variant of the former. In the process, we derive a static effective Hamiltonian that describes the transient prethermal state, including the dynamics of local observables. Our bound for Thue-Morse quasiperiodic driving suggests that the heating time scales like (ω/g)−C ln(ω/g) with a positive constant C and a typical energy scale g of the Hamiltonian, in agreement with our numerical simulations.

@article{PhysRevLett.127.050602, abstract = {The nonequilibrium quantum dynamics of closed many-body systems is a rich yet challenging field. While recent progress for periodically driven (Floquet) systems has yielded a number of rigorous results, our understanding on quantum many-body systems driven by rapidly varying but aperiodic and quasiperiodic driving is still limited. Here, we derive rigorous, nonperturbative, bounds on the heating rate in quantum many-body systems under Thue-Morse quasiperiodic driving and under random multipolar driving, the latter being a tunably randomized variant of the former. In the process, we derive a static effective Hamiltonian that describes the transient prethermal state, including the dynamics of local observables. Our bound for Thue-Morse quasiperiodic driving suggests that the heating time scales like (ω/g)−C ln(ω/g) with a positive constant C and a typical energy scale g of the Hamiltonian, in agreement with our numerical simulations.}, added-at = {2023-11-16T13:49:48.000+0100}, author = {Mori, Takashi and Zhao, Hongzheng and Mintert, Florian and Knolle, Johannes and Moessner, Roderich}, biburl = {https://www.bibsonomy.org/bibtex/2d25567bdf96fb0065ed32eec7cfeec0c/ctqmat}, day = 30, doi = {10.1103/PhysRevLett.127.050602}, interhash = {75c3b919ee713796af839cd524b0461f}, intrahash = {d25567bdf96fb0065ed32eec7cfeec0c}, journal = {Phys. Rev. Lett.}, keywords = {a}, month = {07}, number = 5, numpages = {6}, pages = 050602, publisher = {American Physical Society}, timestamp = {2023-11-16T13:49:48.000+0100}, title = {Rigorous bounds on the heating rate in Thue-Morse quasiperiodically and randomly driven quantum many-body systems}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.127.050602}, volume = 127, year = 2021 }