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Optics Letters

Noisy metamolecule: strong narrowing of fluorescence line: reply

E. S. Andrianov, N. M. Chtchelkatchev, A. A. Pukhov

Published Dec 14, 2016• 3 citations
Publisher

Abstract

We reply on the comment [Opt. Lett.41, 5821 (2016)10.1364/OL.41.005821OPLEDP0146-9592] regarding our Letter [Opt. Lett.40, 3536 (2015)OPLEDP0146-959210.1364/OL.40.003536], where a dissipative driven bosonic mode strongly coupled to a two-level system is studied. We show that the authors of the comment erroneously claim that the Monte Carlo simulation is insufficient. More important is the basic statement of the comment about the vanishing width of the spectral line. This means that the plasmon spectral line vanishes at a large external field. The authors of the comment do not distinguish the averages of the observables from the quasi-averages that are quite different in multistable systems where ergodicity is challenged.

DOI
10.1364/ol.41.005822

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We reply on the comment [Opt. Lett.41, 5821 (2016)10.1364/OL.41.005821OPLEDP0146-9592] regarding our Letter [Opt. Lett.40, 3536 (2015)OPLEDP0146-959210.1364/OL.40.003536], where a dissipative driven bosonic mode strongly coupled to a two-level system is studied. We show that the authors of the comment erroneously claim that the Monte Carlo simulation is insufficient. More important is the basic statement of the comment about the vanishing width of the spectral line. This means that the plasmon spectral line vanishes at a large external field. The authors of the comment do not distinguish the averages of the observables from the quasi-averages that are quite different in multistable systems where ergodicity is challenged.
We comment on the recent Letter by Andrianov et al. [Opt. Lett.40, 3536 (2015)OPLEDP0146-959210.1364/OL.40.003536], in which they study a strongly dissipative driven bosonic mode strongly coupled to a two-level system using the quantum Monte Carlo simulations. We recalculate their quantities via sparse numerical solvers and find that their results for larger drives are incorrect, most likely due to insufficient Monte Carlo sampling in the presence of an emergent long time scale. These findings call for a corrected interpretation of the physical behavior of the studied model.
We consider a metamolecule consisting of a bosonic mode correlated with a two-level system (TLS): it can be, for example, a plasmonic mode interacting with a quantum dot. We focus on the parameter range where all the correlations are strong and of the same order. The interaction between the bosonic mode is correlated with the TLS, external coherent drive, and dissipation. Quantum Monte Carlo simulations show that the fluorescence of this system at dissipation is larger than the driving amplitude and shows a strong (by the order of magnitude) narrowing of its spectral line. This effect may be related to kind of a quantum stochastic resonance. We show that the fluorescence corresponds to the finite domain over the coherent drive with sharp, low threshold, and that the Wigner function splits.
We identify discrepancies between two published predictions of the resonance fluorescence from a two-level atom driven by a strong bichromatic field [J. Opt. Soc. Am. B 8,8,8, 1163 (1991) and Phys. Rev. A 48,48,48, 3092 (1993)]. These discrepancies are shown to arise from subtleties in extracting the time-averaged resonance fluorescence from the expansions used to solve the optical Bloch equations. We construct a solution to these equations that corrects the results of the latter reference and reconciles the two predictions.