2006/11/10 by Stefano Longhi
Computer Science · Engineering · Physics and Astronomy · #Condensed matter physics #Coupling (piping) #Coupling strength #Electromagnetic field #Field (mathematics) #Laser #Lasing threshold #Materials science #Neural Networks and Reservoir Computing #Optical cavity #Optical microcavity #Optoelectronics #Photonic Crystals and Applications #Photonic and Optical Devices #Physics #Quantum mechanics #Resonator #quant-ph
paper · pdf · doi:10.1103/physreva.74.063826
published as Phys. Rev. A 74, 063826 (2006) · to appear in Phys. Rev. A (December 2006 issue)
arxiv created 2006/11/10 · openalex publication_date 2006/12/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The decay dynamics of the classical electromagnetic field in a leaky optical resonator supporting a single mode coupled to a structured continuum of modes (reservoir) is theoretically investigated, and the issue of threshold condition for lasing in presence of an inverted medium is comprehensively addressed. Specific analytical results are given for a single-mode microcavity resonantly coupled to a coupled resonator optical waveguide, which supports a band of continuous modes acting as decay channels. For weak coupling, the usual exponential Weisskopf-Wigner (Markovian) decay of the field in the bare resonator is found, and the threshold for lasing increases linearly with the coupling strength. As the coupling between the microcavity and the structured reservoir increases, the field decay in the passive cavity shows nonexponential features, and correspondingly the threshold for lasing ceases to increase, reaching a maximum and then starting to decrease as the coupling strength is further increased. A singular behavior for the ``laser phase transition,'' which is a clear signature of strong non-Markovian dynamics, is found at critical values of the coupling between the microcavity and the reservoir.