Spontaneous emission from a fractal vacuum
Department of Physics, Technion Israel Institute of Technology - Haifa 32000, Israel
Received: 6 June 2013
Accepted: 5 August 2013
Spontaneous emission of a quantum emitter coupled to a QED vacuum with a deterministic fractal structure of its spectrum is considered. We show that the decay probability does not follow a Wigner-Weisskopf exponential decrease but rather an overall power law behavior with a rich oscillatory structure, both depending on the local fractal properties of the vacuum spectrum. These results are obtained by giving first a general perturbative derivation for short times. Then we propose a simplified model which retains the main features of a fractal spectrum to establish analytic expressions valid for all time scales. Finally, we discuss the case of a Fibonacci cavity and its experimental relevance to observe these results.
PACS: 05.45.Df – Fractals / 42.50.Pq – Cavity quantum electrodynamics; micromasers
© EPLA, 2013