Relative Entropy as a Measure of Difference Between Hermitian and Non-Hermitian Systems
arXiv:2006.13845 · doi:10.3390/e22080809
Abstract
We employ the relative entropy as a measure to quantify the difference of eigenmodes between Hermitian and non-Hermitian systems in elliptic optical microcavities. We have found that the average value of the relative entropy in the range of the collective Lamb shift is large, while that in the range of self-energy is small. Furthermore, the weak and strong interactions in the non-Hermitian system exhibit rather different behaviors in term of the relative entropy, and thus it displays an obvious exchange of eigenmodes in the elliptic microcavity.
arXiv comment9 pages, 5 figures; Close to published version
References in corpus (24)
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Topological energy transfer in an optomechanical system with exceptional points
- High-Power Directional Emission from Microlasers with Chaotic Resonators
- Ray and wave chaos in asymmetric resonant optical cavities
- Biorthogonal Quantum Mechanics
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
- Boundary element method for resonances in dielectric microcavities
- Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
- Unidirectional light emission from high-Q modes in optical microcavities
- Ultrahigh Purcell factors and Lamb shifts using slow-light metamaterial waveguides
- Chaotic Microcavity Laser with Low threshold and Unidirectional Output
- Superradiance Transition in Transport Through Nanosystems
- Quantum and semiclassical exceptional points of a linear system of coupled cavities with losses and gain within the Scully-Lamb laser theory
- Coupled non-identical microdisks: avoided crossing of energy levels and unidirectional far-field emission
- Quality factors and dynamical tunneling in annular microcavities
- Correlated behavior of conductance and phase rigidity in the transition from the weak-coupling to the strong-coupling regime
- On Relations Between the Relative entropy and -Divergence, Generalizations and Applications
- Interplay between spontaneous decay rates and Lamb shifts in open photonic systems
- The Shannon entropy and avoided crossings in closed and open quantum billiards
- Dynamical stabilization and time in open quantum systems
- Non-Hermitian Hamiltonian and Lamb shift in circular dielectric microcavity
- Non-Hermiticity and conservation of orthogonal relation in dielectric microcavity
- Behavior of three modes of decay channels and their self-energies of elliptic dielectric microcavity