%0 Generic %1 akkermans2012spontaneous %A Akkermans, Eric %A Gurevich, Evgeni %D 2012 %K fractals %T Spontaneous Emission from a Fractal Vacuum %U http://arxiv.org/abs/1210.6895 %X 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.

@misc{akkermans2012spontaneous, abstract = {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.}, added-at = {2012-10-29T21:55:42.000+0100}, author = {Akkermans, Eric and Gurevich, Evgeni}, biburl = {https://www.bibsonomy.org/bibtex/29dfa355d4214a777bc18a274e8c78812/vakaryuk}, description = {Spontaneous Emission from a Fractal Vacuum}, interhash = {b43c2ea8e20894667f0df5a864055852}, intrahash = {9dfa355d4214a777bc18a274e8c78812}, keywords = {fractals}, note = {cite arxiv:1210.6895 Comment: 5 pages, 2 figures}, timestamp = {2012-10-29T21:55:42.000+0100}, title = {Spontaneous Emission from a Fractal Vacuum}, url = {http://arxiv.org/abs/1210.6895}, year = 2012 }