2022/01/28 by Mikkel F. Andersen, Sandro Wimberger
Mathematics · Physics and Astronomy · #Classical limit #Cold Atom Physics and Bose-Einstein Condensates #Constant (computer programming) #Diffraction #Function (biology) #Limit (mathematics) #Mathematical analysis #Mathematics #Phase space #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Talbot effect #Work (physics) #cond-mat.quant-gas #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreva.105.013322
published as Phys. Rev. A 105, 013322 (2022)
openalex publication_date 2022/01/28 · arxiv created 2022/02/10 · arxiv updated 2022/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a classical approximation for the peaks of survival resonances occurring when diffracting matter waves from absorption potentials. Generally, our simplified model describes the absorption-diffraction process around the Talbot time very well. Classical treatments of this process are presently lacking. For purely imaginary potentials, the classical model duplicates quantum-mechanical calculations. The classical model allows for simple evolution of phase-space probability densities, which in the limit of the effective Planck constant going to zero allows for a compact analytical expression of the survival probability as a function of remaining parameters. Our work extends the range of processes that can be described through classical analogs.