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.

Classical model for survival resonances close to the Talbot time / Andersen, M. F.; Wimberger, S.. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 105:1(2022). [10.1103/PhysRevA.105.013322]

Classical model for survival resonances close to the Talbot time

Wimberger S.
2022-01-01

Abstract

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.
2022
Classical model for survival resonances close to the Talbot time / Andersen, M. F.; Wimberger, S.. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 105:1(2022). [10.1103/PhysRevA.105.013322]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2920550
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