With this talk, I will first illustrate the implementation of our machine-learning (ML) enhanced quantum state tomography (QST) for continuous variables, through the experimentally measured data generated from squeezed vacuum states, as an example of quantum machine learning. At the same time, as a collaborator for LIGO-VirgoKAGRA (LVK) gravitational wave network and Einstein Telescope, our plan to inject this squeezed vacuum field into the advanced gravitational wave detectors (GWD) will be introduced. Finally, I will report our recent progress in applying such a ML-QST as a crucial diagnostic toolbox for applications with squeezed states, from Wigner currents, optical cat state generation, and Bayesian estimation for GWD.
This paper presents a new synthesis method for designing complex fiber Bragg gratings (FBGs). The method is based on a multiobjective Lagrange-multiplier-constrained optimization (LMCO), to which various constraints on the designed filters can be added in consideration of practical application demands and fabrication requirements. The maximum amplitude of the index modulation profiles of the designed FBGs can be substantially reduced under constrained conditions. In contrast with the layer-peeling (LP) algorithm, the LMCO method can easily incorporate different types of requirements in terms of a user-defined cost function. Compared to stochastic approaches such as genetic algorithms, the proposed method is likewise a direct optimization method, but without using random numbers, and therefore has a smoother coupling coefficient profile as well as faster convergence. A theoretical model and investigation have been made in this study. A narrowband dispersionless FBG filter for optical fiber communication was designed, and its simulation results were compared with those of the LP algorithm. The study results demonstrate that the LMCO algorithm can provide an alternative for practical and complex fiber grating filters.
We theoretically calculate the resonance fluorescence spectrum from a two-level atom which is embedded in a photonic bandgap crystal and is resonantly driven by a classical pump light. Non-Markovian noises caused by the non-uniform distribution of photon density states near the photonic bandgap are taken into account by a new approach which linearizes the optical Bloch equations by using the Liouville operator expansion. These linearized equations can be solved directly in the Fourier domain to obtain the correlation functions of the atomic operators and then the fluorescence spectrum from the atom.
We find that if the atomic energy level is far from the bandgap, fluorescence spectra with Mollow triplets are observed. When the atomic energy level is near the bandgap, the relative magnitude and the number of the fluorescence peaks are found to be varied according to the wavelength offset.
Steady state resonance fluorescence spectra from a two-level atom embedded in a photonic bandgap crystal and resonantly driven by a classical pump light are calculated. The photonic crystal is considered to be with a small bandgap which is in the order of magnitude of the Rabi frequency and is modeled by the anisotropic two-band dispersion relation. Non-Markovian noises caused by the non-uniform distribution of photon density states near the photonic bandgap are taken into account by a new approach which linearizes the optical Bloch equations by using the Liouville operator expansion. Fluorescence spectra that only exhibit sidebands of the Mollow triplet are found, indicating that there is no coherent Rayleigh scattering process.
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