Collapse dynamics and Hilbert-space stochastic processes. [PDF]
Sci Rep, 2021 Bajoni D +3 more
europepmc +1 more source
Loop Quantum Photonic Chip for Coherent Multi‐Time‐Step Evolution
Laser &Photonics Reviews, EarlyView.A loop quantum photonic chip (Loop‐QPC) enabling efficient multi‐step quantum simulation in a single run is demonstrated. Combining recirculating loops with cycle‐or‐measure control, Loop‐QPC eliminates repeated reprogramming and reduces loss. Experimental demonstration of three‐step unitary evolution confirms high‐fidelity operation, showcasing the ...
Yuancheng Zhan +9 more
wiley +1 more source
On bidual bases in the space of symmetric analytic functions on $ell_{1}$
Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider a special Hilbert space of symmetric analytic functions on$ell_1$ and construct a pair of bidual bases of polynomials.}{Hilbert space, symmetricanalytic functions, bidual ...
O. M. Holubchak, A. V. Zagorodnyuk
doaj
Fixed Point and Acute Point Theorems for New Mappings in a Banach Space
Journal of Mathematics, 2019 In a Hilbert space, concepts of attractive point and acute point are studied by many researchers. Moreover, these concepts extended to Banach space. In this paper, we introduce a new class of mappings on Banach space corresponding to the class of all ...
Toshiharu Kawasaki
doaj +1 more source
Increasing the Hilbert space dimension using a single coupled molecular spin. [PDF]
Nat Commun, 2021 Biard H +5 more
europepmc +1 more source
Quantization of Polaritons Confined in Dielectric Structures
Laser &Photonics Reviews, EarlyView.This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani +4 more
wiley +1 more source
Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
europepmc +1 more source
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
Predicting Statistical Signatures of Collective Emission in Disordered Color Center Ensembles
Laser &Photonics Reviews, EarlyView.We present an efficient simulation framework for modeling collective emission in disordered ensembles of quantum emitters. The low computational complexity enables large‐scale Monte Carlo simulations. Applied to SiV−${\rm SiV}^{-}$ clusters, it predicts thresholded superradiant bursts set by emitter number and quantum efficiency, as well as interaction‐
Qingyi Zhou +4 more
wiley +1 more source
Iteratively regularized Gauss-Newton type methods for approximating quasi-solutions of irregular nonlinear operator equations in Hilbert space with an application to COVID-19 epidemic dynamics. [PDF]
Appl Math Comput, 2022 Kokurin MM, Kokurin MY, Semenova AV.
europepmc +1 more source