Singularities of Floquet scattering and tunneling

H. Landa
Phys. Rev. A 97, 042705 – Published 19 April 2018

Abstract

We study quasibound states and scattering with short-range potentials in three dimensions, subject to an axial periodic driving. We find that poles of the scattering S matrix can cross the real energy axis as a function of the drive amplitude, making the S matrix nonanalytic at a singular point. For the corresponding quasibound states that can tunnel out of (or get captured within) a potential well, this results in a discontinuous jump in both the angular momentum and energy of emitted (absorbed) waves. We also analyze elastic and inelastic scattering of slow particles in the time-dependent potential. For a drive amplitude at the singular point, there is a total absorption of incoming low-energy (s wave) particles and their conversion to high-energy outgoing (mostly p) waves. We examine the relation of such Floquet singularities, lacking in an effective time-independent approximation, with well-known “spectral singularities” (or “exceptional points”). These results are based on an analytic approach for obtaining eigensolutions of time-dependent periodic Hamiltonians with mixed cylindrical and spherical symmetry, and apply broadly to particles interacting via power-law forces and subject to periodic fields, e.g., co-trapped ions and atoms.

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  • Received 4 September 2017
  • Revised 12 February 2018

DOI:https://doi.org/10.1103/PhysRevA.97.042705

©2018 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsAtomic, Molecular & Optical

Authors & Affiliations

H. Landa*

  • LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay, France and Institut de Physique Théorique, Université Paris-Saclay, CEA, CNRS, 91191 Gif-sur-Yvette, France

  • *haggaila@gmail.com

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Issue

Vol. 97, Iss. 4 — April 2018

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