Single-photon transport in a one-dimensional waveguide coupling to a hybrid atom-optomechanical system

Abstract

We explore theoretically the single-photon transport in a single-mode waveguide that is coupled to a hybrid atom-optomechanical system in a strong optomechanical coupling regime. Using a full quantum real-space approach, transmission and reflection coefficients of the propagating single-photon in the waveguide are obtained. The influences of atom-cavity detuning and the dissipation of atom on the transport are also studied. Intriguingly, the obtained spectral features can reveal the strong light-matter interaction in this hybrid system.

Real-time emission spectrum of a hybrid atom-optomechanical cavity

“…In addition to the conclusions made in references [22] (to which our stationary spectrum results are in agreement), we conclude from the time-dependent spectrum that even if we are working in a strong-strong coupling regime still it takes ∼ t = 20ω −1 M time to observe fully resolved spectrum. Moreover, the time-dependent spectrum also reveals the order in which different resonances appear in the spectrum describing the dynamic role played by different physical mechanisms which are responsible for the production of these spectral peaks.…”

“…We confirmed that the peak locations obtained from both methods (dressed state analysis and the pole-method) gives us identical results. It is worthwhile to mention here that the eigenvalues obtained upto single phonon are not in agreement with the result obtained in the reference [22] (energy eigenvalues vary as ∼ ω…”

“…2(e) at t = 10ω −1 M ), due to optomechnaical and atom-cavity interactions occurring for longer times, we find both of the Rabi peaks become sharper as well as both blue and red side-bands start to show up simultaneously at integer multiple of ω M apart from the main Rabi peaks. Finally at t = 20ω −1 M we obtain the stationary limit of the spectrum as also reported in [22]. It is worthwhile to note that in Ref.…”

“…It is worthwhile to note that in Ref. [22] this stationary spectrum is calculated based on a real-space quantification approach as first introduced by Shen et.al in 2009 [31]. Here, along with reporting the time-dependent version of the spectrum, we have also provided an alternate method of calculating the timeindependent spectrum using the quantum trajectory method, which gives the exact same results as one can find by applying other methods for example the method of Shen et.al.…”

The Correlated Two-Photon Transport in a One-Dimensional Waveguide Coupling to a Hybrid Atom-Optomechanical System

“…Generally, this kind of manipulation can be achieved by coupling a 1D waveguide with a node where the transmission and reflection of the photons can be potentially controlled [1][2][3][4][5][6][7][8][9]. It had been shown that the two-photon transport is strongly correlated in 1D waveguide coupled to a two-level system [1,2] where the strong correlation arises from the interference between the reemitted and scattered waves in the 1D waveguide.…”