Time evolution of decay for purely absorptive potentials: The effect of spectral singularities

Gastón García-Calderón and Lorea Chaos-Cador
Phys. Rev. A 90, 032109 – Published 17 September 2014

Abstract

We consider an analytical approach that involves the complex poles of the propagator to investigate the effect due to the lack of time-reversal invariance on the time evolution of decay for purely absorptive potentials. We find that the choice of the initial state may change the exponential decaying regime into a nonexponential oscillatory behavior at time scales of the order of a lifetime of the system. We illustrate this effect for a spectral singularity corresponding to a purely imaginary δ-shell potential.

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  • Received 12 June 2014

DOI:https://doi.org/10.1103/PhysRevA.90.032109

©2014 American Physical Society

Authors & Affiliations

Gastón García-Calderón1,* and Lorea Chaos-Cador2,†

  • 1Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20 364, 01000 México, Distrito Federal, México
  • 2Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, 09790 México, Distrito Federal, México

  • *gaston@fisica.unam.mx
  • lorea@ciencias.unam.mx

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Vol. 90, Iss. 3 — September 2014

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