We calculate the open path phase in a two state model with a slowly (nearly adiabatically) varying time-periodic Hamiltonian and trace its continuous development during a period. We show that the topological (Berry) phase attains π or 2π depending on whether there is or is not a degeneracy in the part of the parameter space enclosed by the trajectory. Oscillations are found in the phase. As adi...

Abstract Generalized Kramers–Kronig (K–K) type dispersion relations and sum rules are derived in the static limit for moments of degenerate four wave mixing susceptibility. The nonlinear susceptibility is different from a typical use conventional K–K relations, which assume absence complex poles function upper half frequency plane, whereas has simultaneous both planes. In derivation generalized...

Photonic neural networks (PNNs) are promising to replace conventional deep learning hardware due their potentially higher energy efficiency and computational speed. Other than the fast progress on optical linear transformer, nonlinear activators much less mature. Usually, employ mapping from input amplitude output amplitude, which is limited by high threshold loss, or rely additional bias volta...

A quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive and absorbing dielectric medium is developed. The classical Maxwell equations with spatially varying and Kramers–Kronig consistent permittivity are regarded as operator-valued field equations, introducing additional currentand charge-density operator ...

The peak location of the localized surface plasmon resonance (LSPR) of noble metal nanoparticles is highly dependent upon the refractive index of the nanoparticles' surrounding environment. In this study, new phenomena are revealed by exploring the influence of interacting molecular resonances and nanoparticle resonances. The LSPR peak shift and line shape induced by a resonant molecule vary wi...

A treatise on the optical property of biological tissue is presented. Water is postulated to be a topological basis and serves to discriminate published skin data. Electromagnetic theory governing dielectric behavior is concisely detailed pertaining to certain optical constants and Kramers-Krönig relation. The Kramers-Krönig relation defining dispersion index is emulated through the discrete Hi...