2017/08/04 by Francisco Machado, Gregory D. Meyer, Dominic V. Else +2 · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevresearch.1.033202
published as Phys. Rev. Research 1, 033202 (2019) · 6+7 pages, 4+8 figures
arxiv created 2017/08/04 · arxiv updated 2020/01/01
We analyze the dynamics of periodically-driven (Floquet) Hamiltonians with short- and long-range interactions, finding clear evidence for a thermalization time, τ^*, that increases exponentially with the drive frequency. We observe this behavior, both in systems with short-ranged interactions, where our results are consistent with rigorous bounds, and in systems with long-range interactions, where such bounds do not exist at present. Using a combination of heating and entanglement dynamics, we explicitly extract the effective energy scale controlling the rate of thermalization. Finally, we demonstrate that for times shorter than τ^*, the dynamics of the system is well-approximated by evolution under a time-independent Hamiltonian Deff, for both short- and long-range interacting systems.