Two-dimensional phase-space picture of the photonic crystal Fano laser
arXiv:1903.03857 · doi:10.1103/PhysRevA.100.053808
Abstract
The recently realized photonic crystal Fano laser constitutes the first demonstration of passive pulse generation in nanolasers [Nat. Photonics , 81-84 (2017)]. We show that the laser operation is confined to only two degrees-of-freedom after the initial transition stage. We show that the original 5D dynamic model can be reduced to a 1D model in a narrow region of the parameter space and it evolves into a 2D model after the exceptional point, where the eigenvalues transition from being purely to a complex conjugate pair. The 2D reduced model allows us to establish an effective band structure for the eigenvalue problem of the stability matrix to explain the laser dynamics. The reduced model is used to associate a previously unknown origin of instability with a new unstable periodic orbit separating the stable steady-state from the stable periodic orbit.
arXiv comment12 pages, 7 figures, journal, Phys. Rev. A, before editorial correction
References in corpus (15)
- The physics of exceptional points
- Topological energy transfer in an optomechanical system with exceptional points
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- Visualization of Branch Points in PT-Symmetric Waveguides
- Pump-induced Exceptional Points in Lasers
- Repulsion of Resonance States and Exceptional Points
- Demonstration of a self-pulsing photonic crystal Fano laser
- Spontaneous mirror-symmetry breaking in a photonic molecule
- Observation of Exceptional Points in Electronic Circuits
- Phases of Wave Functions and Level Repulsion
- Collectivity, Phase Transitions and Exceptional Points in Open Quantum Systems
- Adiabaticity condition for non-Hermitian Hamiltonians
- Projective Hilbert space structures at exceptional points
- State Flip at Exceptional Points in Atomic Spectra
- On the theory of coupled modes in optical cavity-waveguide structures