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Comment on “Gain-assisted superluminal light propagation through a Bose-Einstein condensate cavity system”

B. Macke, Bernard Ségard

Published Sep 22, 2016• 1 citation
OpenAlex

Abstract

In a recent theoretical article [Eur. Phys. J. D 70, 1 (2016)], Kazemi et al. claim to have demonstrated superluminal light transmission in an optomechanical system where a Bose-Einstein condensate serves as the mechanical oscillator. In fact the superluminal propagation is only inferred from the existence of a minimum of transmission of the system at the probe frequency. This condition is not sufficient and we show that, in all the cases where superluminal propagation is claimed by Kazemi et al., the propagation is in reality subluminal. Moreover, we point out that the system under consideration is not minimum-phase-shift. The Kramers-Kronig relations then only fix a lower limit to the group delay and we show that these two quantities have sometimes opposite signs.

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Comment on “Gain-assisted superluminal propagation and rotary drag of photon and surface plasmon polaritons”

B. Macke, Bernard Ségard

In their study of superluminal propagation, rotary drag, and surface polaritons [Khan et al., Phys. Rev. A 96, 013848 (2017); Phys. Rev. A 96, 049906(E) (2017)], the authors consider a four-level atomic arrangement with transitions in the optical domain. In fact, the values they give to the parameters lead to a probe wavelength lying in the decimeter band and we point out that, in such conditions, all their results are irrelevant.

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Reply to “Comment on ‘Gain-assisted superluminal propagation and rotary drag of photon and surface plasmon polaritons”'

Naveed Khan, Bakht Amin Bacha, Azmat Iqbal Bashir +2 more

Hereby, we amend several spectral parameters reported in our earlier work [N. Khan et al., Phys. Rev. A 96, 013848 (2017); Phys. Rev. A 96, 049906(E) (2017)], which led to unphysical predictions to be tested experimentally. In particular, the resulting probe wavelength was in the decimeter band, as pointed out in a Comment by Macke and S\'egard [B. Macke and B. S\'egard, preceding Comment, Phys. Rev. A 99, 057801 (2019)]. After incorporating the corrected parameters, the predictions of our theoretical demonstration on the gain-assisted superluminal propagation and rotary drag of photon and that of surface plasmon polaritons are improved to a good degree of accuracy and expected to be tested realistically. In particular, even the minimum values of rotary drag for both photon and surface plasmon polaritons are on the order of few microradians, thus falling within the range of experimental testability.

Physical Review A•May 23, 2019•4 citations
In a recent theoretical article [Eur. Phys. J. D 70, 1 (2016)], Kazemi et al. claim to have demonstrated superluminal light transmission in an optomechanical system where a Bose-Einstein condensate serves as the mechanical oscillator. In fact the superluminal propagation is only inferred from the existence of a minimum of transmission of the system at the probe frequency. This condition is not sufficient and we show that, in all the cases where superluminal propagation is claimed by Kazemi et al., the propagation is in reality subluminal. Moreover, we point out that the system under consideration is not minimum-phase-shift. The Kramers-Kronig relations then only fix a lower limit to the group delay and we show that these two quantities have sometimes opposite signs.
We theoretically investigate the light propagation in a cavity optomechanical system with a Bose-Einstein condensate (BEC). It is shown that slow light can easily be realized in this system via a BEC coupled to an optical cavity field. The numerical results further demonstrate that the transmitted probe beam from the cavity can be delayed as much as 0.8 ms by suitably selecting the pump field detuning from the cavity field frequency. The scheme proposed here may have potential applications in telecommunication and interferometry.
In this study, we explore the dynamics of slow and fast light propagation in a system consisting of a Bose-Einstein condensate (BEC) acting as a mechanical oscillator coupled to an optical parametric amplifier (OPA) within a fixed-mirror cavity. The system's response is investigated through a comprehensive analysis of the transmission spectrum, output probe field characteristics (real and imaginary components), group delay, and Goos-Hänchen shift (GHS). Our findings reveal that variations in the effective coupling strength and the OPA gain have a profound impact on the system's behavior. Specifically, as the OPA gain increases, a Fano-like resonance emerges, enhancing the transparency window and altering the dispersion, which in turn influences the group delay. The GHS is shown to be sensitive to both the incident angle and the BEC-cavity coupling strength. These results offer valuable insights into the intricate interplay between the probe field, the mechanical oscillator, and the amplified modes of the OPA, highlighting the role of these interactions in shaping the propagation of light in such systems.
Hereby, we amend several spectral parameters reported in our earlier work [N. Khan et al., Phys. Rev. A 96, 013848 (2017); Phys. Rev. A 96, 049906(E) (2017)], which led to unphysical predictions to be tested experimentally. In particular, the resulting probe wavelength was in the decimeter band, as pointed out in a Comment by Macke and S\'egard [B. Macke and B. S\'egard, preceding Comment, Phys. Rev. A 99, 057801 (2019)]. After incorporating the corrected parameters, the predictions of our theoretical demonstration on the gain-assisted superluminal propagation and rotary drag of photon and that of surface plasmon polaritons are improved to a good degree of accuracy and expected to be tested realistically. In particular, even the minimum values of rotary drag for both photon and surface plasmon polaritons are on the order of few microradians, thus falling within the range of experimental testability.