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 -shell potential.
- Received 12 June 2014
DOI:https://doi.org/10.1103/PhysRevA.90.032109
©2014 American Physical Society