2013/07/31 by A. Ridolfo, Alessandro Ridolfo, Elena del Valle +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Anharmonicity #Density matrix #Field (mathematics) #Mathematics #Mechanical and Optical Resonators #Nonlinear system #Optics #Photodetection #Photodetector #Photon #Photonic and Optical Devices #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Quartic function #Resonator #Statistical physics #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physreva.88.063812
published as Phys. Rev. A 88, 063812 (2013) · 10 pages, 7 figures
arxiv created 2013/11/30 · openalex publication_date 2013/12/04 · arxiv updated 2014/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the full field and frequency filtered output photon statistics of a resonator in thermal equilibrium with a bath and containing an arbitrarily large quartic nonlinearity. According to the general theory of photodetection, we derive general input-output relations valid for the ultra-anharmonic regime, where the nonlinearity becomes comparable to the energy of the resonator, and show how the emission properties are modified as compared to the generally assumed simple anharmonic regime. We analyze the impact of the nonlinearity on the full statistics of the emission, g(2), and its spectral properties. In particular, we derive a semianalytical expression for the frequency resolved two-photon correlations or two-photon spectrum of the system in terms of the master-equation coefficients and density matrix. This provides a very clear insight into the level structure and emission possibilities of the system.