Behavior of three modes of decay channels and their self-energies of elliptic dielectric microcavity
arXiv:1607.00111 · doi:10.1103/PhysRevA.94.033833
Abstract
The Lamb shift (self-energy) of an elliptic dielectric microcavity is studied. We show that the size of the Lamb shift, which is a small energy shift due to the system-environment coupling in the quantum regime, is dependent on the geometry of the boundary conditions. It shows a global transition depending on the eccentricity of the ellipsis. These transitions can be classified into three types of decay channels known as whispering-gallery modes, stable-bouncing-ball modes, and unstable-bouncing-ball modes. These modes are manifested through the Poincaré surface of section with the Husimi distribution function in classical phase space. It is found that the similarity (measured in Bhattacharyya distance) between the Husimi distributions below critical lines of two different modes increases as the difference of their self-energies decreases when the quality factors of the modes are on the same order of magnitude.
arXiv comment8 pages, 9 figures
References in corpus (19)
- Exceptional Points of Non-hermitian Operators
- Combining directional light output and ultralow loss in deformed microdisks
- Observation of an exceptional point in a chaotic optical microcavity
- Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
- Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
- Quasi-Scarred Resonances in a Spiral-Shaped Microcavity
- Fresnel filtering in lasing emission from scarred modes of wave-chaotic optical resonators
- Superradiance Transition in Transport Through Nanosystems
- Goos-Haenchen shift and localization of optical modes in deformed microcavities
- Correcting ray optics at curved dielectric microresonator interfaces: Phase-space unification of Fresnel filtering and the Goos-Haenchen shift
- Elliptic Quantum Billiard
- Giant Lamb Shift in Photonic Crystals
- Quantum state discrimination: a geometric approach
- Coupled non-identical microdisks: avoided crossing of energy levels and unidirectional far-field emission
- Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
- Dynamical stabilization and time in open quantum systems
- Fresnel filtering of Gaussian beams in microcavities
- Non-Hermitian Hamiltonian and Lamb shift in circular dielectric microcavity
- Optical microcavities as quantum-chaotic model systems: Openness makes the difference!