2003/11/30 by Alec Maassen van den Brink, K. Young, Man Hong Yung +1 · 1 citation
Physics and Astronomy · #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Spectroscopy and Quantum Chemical Studies #physics.atom-ph #physics.class-ph #physics.optics
paper · pdf · doi:10.1088/0305-4470/39/14/015
published as J. Phys. A: Math. Gen._39_, 3725 (2006) · REVTeX4, 14 pages, 4 figures. v2: final, 20 single-col. pages, 2 figures. Streamlined with emphasis on physics over formalism; rewrote Section V E so that it refers to time-dependent (instead of non-equilibrium) effects
openalex publication_date 2006/03/22 · arxiv created 2006/03/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
Correlation functions C ( t ) ∼ ⟨ϕ( t )ϕ(0)⟩ in ohmically damped systems such as coupled harmonic oscillators or optical resonators can be expressed as a single sum over modes j (which are not power-orthogonal), with each term multiplied by the Petermann factor (PF) C j , leading to ‘excess noise’ when | C j | > 1. It is shown that | C j | > 1 is common rather than exceptional, that | C j | can be large even for weak damping, and that the PF appears in other processes as well: for example, a time-independent perturbation ∼ leads to a frequency shift ∼ C j . The coalescence of J (>1) eigenvectors gives rise to a critical point, which exhibits ‘giant excess noise’ ( C j → ∞). At critical points, the divergent parts of J contributions to C ( t ) cancel, while time-independent perturbations lead to non-analytic shifts ∼ 1/ J .