arXiv subjects

Lorea Chaos-Cador

Publications and source records attributed to Lorea Chaos-Cador.

2 recordsLinked to original sources

arXiv2017

Underlying non-Hermitian character of the Born rule in open quantum systems

The absolute value squared of the probability amplitude corresponding to the overlap of an initial state with a continuum wave solution to the Schrödinger equation of the problem, has the physical interpretation provided by the Born rule. Here, it is shown that for an open quantum system, the above probability may be written in an exact analytical fashion as an expansion in terms of the non-Hermitian resonance (quasinormal) states and complex poles to the problem which provides an underlying non-Hermitian character of the Born rule.

quant-ph↗

arXiv2016

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

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 delta-shell potential.

quant-ph↗