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Simulation codes for figures 5, 6, 8 - 13: "Single-photon frequency comb generation in a giant-atom cavity coupled to a one-dimensional waveguide"

Vijayalekshmi Sivakumar, V S, Amal

Published Dec 11, 2025• 0 citations

Abstract

The simulation codes for the figures (5,6,8,9,10,11,12,13) used in our article 'Single-photon frequency comb generation in a giant-atom cavity coupled to a one-dimensional waveguide' are available here. Fig. 5: Frequency spectra of a single photon Gaussian pulse initially outside the giant-atom cavity. Fig. 6: Cavity finesse as a function of the number of giant atoms and the number of coupling points per giant atom. Fig. 8: Frequency spectra of a single photon Gaussian pulse initially inside the giant-atom cavity. Fig. 9: Spectral enhancement as a function of the number of giant atoms and the number of coupling points per giant atom.Fig 10: Number of peaks, Peak location, Peak spacing as a function of the number of giant atoms and the number of coupling points per giant atom. Fig 11: Frequency spectra of a single photon Gaussian pulse initially inside the giant-atom cavity, with reduced coupling strength.Fig 12: Number of peaks, Peak location, Peak spacing as a function of the coupling strength. Fig 13: Cavity linewidth, Spectral enhancement as a function of the coupling strength.

DOI: 10.5281/zenodo.16423684

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The simulation codes for the figures (5,6,8,9,10,11,12,13) used in our article 'Single-photon frequency comb generation in a giant-atom cavity coupled to a one-dimensional waveguide' are available here. Fig. 5: Frequency spectra of a single photon Gaussian pulse initially outside the giant-atom cavity. Fig. 6: Cavity finesse as a function of the number of giant atoms and the number of coupling points per giant atom. Fig. 8: Frequency spectra of a single photon Gaussian pulse initially inside the giant-atom cavity. Fig. 9: Spectral enhancement as a function of the number of giant atoms and the number of coupling points per giant atom.Fig 10: Number of peaks, Peak location, Peak spacing as a function of the number of giant atoms and the number of coupling points per giant atom. Fig 11: Frequency spectra of a single photon Gaussian pulse initially inside the giant-atom cavity, with reduced coupling strength.Fig 12: Number of peaks, Peak location, Peak spacing as a function of the coupling strength. Fig 13: Cavity linewidth, Spectral enhancement as a function of the coupling strength.

An atomic chain coupled to a one-dimensional (1D) photonic waveguide can become a very good atom mirror. This atom mirror can have a very high reflectivity for a single-photon pulse due to the collective interaction between the atoms. Two atom arrays coupled to a 1D waveguide can form a good cavity. When a single-photon pulse is incident from one side of the cavity, only a discrete subset of photon frequencies can transmit the cavity and the transmitted frequencies are almost equally spaced, which is similar to a frequency comb. The linewidth of the comb frequency can be reduced if we increase the atom number in the atomic arrays. More interestingly, if the photon pulse is initially inside the cavity, the photon spectrum after a long time of interaction is also discretized with the comb frequencies being significantly amplified while other frequencies being largely suppressed. This single-photon frequency comb may be useful for precision measurement.

Giant atoms introduce promising avenues for enhancing light-matter interaction in waveguides, which plays a crucial role in quantum information processing and quantum state control. In this work, we study the dynamics of a system comprising a single-photon Gaussian pulse initially inside a cavity with giant-atom mirrors coupled to a one-dimensional waveguide. The decay rate of the photon pulse can be significantly minimized by using giant atoms instead of point atoms and by carefully selecting the spacing between the coupling points of the giant atom to the waveguide. The quality factor for the cavity is analyzed by varying the number of atoms, coupling points, and coupling point spacing in each mirror to find the optimal parameters for a high

Q

-factor cavity. Our work contributes to the design of more efficient, high-quality quantum devices such as integrated quantum photonic circuits.

Abstract The phase-controlled single-photon transport properties of a giant atom coupled to a one-dimensional waveguide are investigated. The coupling between the giant atom and the waveguide is modeled as a multi-point interaction. The coupling strengths between the giant atom and the waveguide are represented as complex numbers with associated phases. Analytical expressions for the scattering amplitudes are obtained using the real-space Hamiltonian method. The results show that the characteristics of the scattering spectra, including the positions of peaks (or dips) and the full width at half maximum, can be tuned by adjusting the phase difference between the coupling strengths. Further calculations reveal that the scattering spectra can be either super-broadened or sub-broadened. The conditions for achieving perfect nonreciprocal single-photon transport in the Markovian regime are also discussed. Moreover, we demonstrate the control of single-photon transport through phase differences in the non-Markovian regime. Our results may find applications in the design of quantum devices operating at the single-photon level, based on waveguide quantum electrodynamics.