2008/07/21 by Rong Tan, Gao‐xiang Li, Gao-xiang Li +2 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Amplitude #Atom (system on chip) #Field (mathematics) #Laser #Laser linewidth #Master equation #Mathematics #Photonic Crystals and Applications #Photonic and Optical Devices #Physics #Population #Population inversion #Quantum #Quantum mechanics #Quantum noise #Quantum optics and atomic interactions #Rotating wave approximation #quant-ph
paper · pdf · doi:10.1103/physreva.78.023833
12 pages, 6 figures
arxiv created 2008/07/21 · openalex publication_date 2008/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study nonclassical and spectral properties of a strongly driven single-atom laser engineered within a photonic crystal that facilitates a frequency-dependent reservoir. In these studies, we apply a dressed atom model approach to derive the master equation of the system and study the properties of the dressed laser under the frequency-dependent transition rates. By going beyond the secular approximation in the dressed-atom cavity-field interaction, we find that if, in addition, the nonsecular terms are included into the dynamics of the system, then nonlinear processes can occur that lead to interesting aspects of cavity field behavior. We calculate variances of the quadrature phase amplitudes and the incoherent part of the spectrum of the cavity field and show that they differ qualitatively from those observed under the secular approximation. In particular, it is found that the nonlinear processes lead to squeezing of the fluctuations of the cavity field below the quantum shot noise limit. The squeezing depends on the relative population of the dressed states of the system and is found only if there is no population inversion between the dressed states. Furthermore, we find a linewidth narrowing below the quantum limit in the spectrum of the cavity field that is achieved only when the secular approximation is not made. An interpretation of the linewidth narrowing is provided in terms of two phase-dependent noise (squeezing) spectra that make up the incoherent spectrum. We establish that the linewidth narrowing is due to squeezing of the fluctuations in one quadrature phase components of the cavity field.