2021/12/31 by Clément Duval, Dominique Delande, Nicolas Cherroret · 5 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Exponential decay #Exponential function #Kinetic energy #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Strong Light-Matter Interactions #Wave packet #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreva.105.033309
published in Physical Review A 105(3) (American Physical Society)
arxiv created 2022/03/15 · openalex publication_date 2022/03/15 · arxiv updated 2022/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the quantum dynamics of a peculiar driven system, a Bose gas subjected to periodically kicked interactions. In the limit of infinitely short kicks, this system was recently shown to exhibit a fast exponential spreading of the wave function. Here we examine this problem for kicks or arbitrary duration and show that, in this case, the spreading is not exponential but rather subdiffusive at long time. This phenomenon stems from the competition between the kinetic and interaction energies within the kicks, which is absent in the limit of delta kicks. Our analysis further shows that the breakdown of exponential spreading occurs at relatively short times even for extremely short kicks, suggesting that, in practice, subdiffusion should be more the rule than the exception in this system.