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In this paper, we enhance a recent algorithm for approximate spectral factorization of matrix functions, extending its capabilities to precisely factorize rational matrices when an exact lower-upper triangular factorization is available.…

Complex Variables · Mathematics 2023-12-07 Lasha Ephremidze , Gennady Mishuris , Ilya Spitkovsky

Light transport in periodic waveguides coupled to a two-level atom is investigated. By using optical Bloch equations and a photonic modal formalism, we derive semi-analytical expressions for the scattering matrix of one atom trapped in a…

Optics · Physics 2015-08-12 Xiaorun Zang , Philippe Lalanne

Efficient coupling of light to single atomic systems has gained considerable attention over the past decades. This development is driven by the continuous growth of quantum technologies. The efficient coupling of light and matter is an…

Quantum Physics · Physics 2015-07-24 Markus Sondermann , Gerd Leuchs

We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb Z$ and interacting with each other when they are at neighboring positions. Typical examples are two particles in the partial exclusion process or…

Probability · Mathematics 2017-12-08 Gioia Carinci , Cristian Giardina , Frank Redig

Precise modeling of extended sources is a central challenge in modern optical engineering, laser physics, and computational lithography. Unlike ideal point sources or completely incoherent thermal radiation sources, real-world light sources…

Optics · Physics 2025-12-09 Rongqi Shang , Donglin Ma

Light and matter can now interact in a regime where their coupling is stronger than their bare energies. This deep-strong coupling (DSC) regime of quantum electrodynamics promises to challenge many conventional assumptions about the physics…

Quantum Physics · Physics 2023-05-30 Nicholas Rivera , Jamison Sloan , Ido Kaminer , Marin Soljacic

In the nonrelativistic many-electron approximation of the theory of photoionization of the atom in the formalism of secondary quantization and the theory of irreducible tensor operators, analytical structures for the quadrupole transition…

Atomic Physics · Physics 2025-04-14 Alexey N. Hopersky , Alexey M. Nadolinsky , Rustam V. Koneev , Julia N. Tolkunova

Light-matter interfaces have now entered a new stage marked by the ability to engineer quantum correlated states under driven-dissipative conditions. To propel this new generation of experiments, we are confronted with the need to model…

Disordered Systems and Neural Networks · Physics 2025-01-16 Hossein Hosseinabadi , Darrick E. Chang , Jamir Marino

Cavity-mediated light-matter coupling can dramatically alter opto-electronic and physico-chemical properties of a molecule. Ab initio theoretical predictions of these systems need to combine non-perturbative, many-body electronic structure…

Quantum Physics · Physics 2024-06-19 Derek S. Wang , Tomáš Neuman , Johannes Flick , Prineha Narang

Strong light-matter coupling between molecules and plasmonic nanoparticles give rise to new hybrid eigenstates of the coupled system, commonly referred to as polaritons, or more precisely, plexcitons. Over the last decade it has been amply…

Chemical Physics · Physics 2024-02-06 Marco Romanelli , Stefano Corni

Models of the spontaneous emission of photons coupled to the electronic states of quantum dots are important for understanding quantum interactions in dielectric media as applied to proposed solid-state quantum computers, single photon…

Mesoscale and Nanoscale Physics · Physics 2010-12-01 Sergio Tafur , Michael N. Leuenberger

For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of…

Quantum Physics · Physics 2022-09-12 Tanja Schoger , Benjamin Spreng , Gert-Ludwig Ingold , Paulo A. Maia Neto

Schroedinger's famous thought experiment involves a (macroscopic) cat whose quantum state becomes entangled with that of a (microscopic) decaying nucleus. The creation of such micro-macro entanglement is currently being pursued in several…

Quantum Physics · Physics 2015-06-12 A. I. Lvovsky , R. Ghobadi , A. Chandra , A. S. Prasad , C. Simon

Important recent advances in transmission electron microscopy instrumentation and capabilities have made it indispensable for atomic-scale materials characterization. At the same time, the availability of two-dimensional materials has…

Materials Science · Physics 2021-05-04 Toma Susi , Jannik C. Meyer , Jani Kotakoski

Electromagnetic waves propagating through vacuum can polarize virtual electron-positron pairs; this polarization, in turn, nonlinearly modifies their propagation. A semi-classical nonlinear wave equation describing the propagation is…

Optics · Physics 2026-01-08 D. Ramsey , M. S. Formanek , J. P. Palastro

We present three schemes to go beyond the electric-dipole approximation in X-ray absorption spectroscopy calculations within a four-component relativistic framework. The first is based on the full semi-classical light-matter interaction…

Chemical Physics · Physics 2021-07-02 Nanna Holmgaard List , Timothé Romain Léo Melin , Martin van Horn , Trond Saue

The ultralight dark photon is one of intriguing dark matter candidates. The interaction between the visible photon and dark photon is introduced by the gauge kinetic mixing between the field strength tensors of the Abelian gauge groups in…

High Energy Physics - Phenomenology · Physics 2025-02-26 Chang-Jie Dai , Tong Li , Rui-Jia Zhang

We apply the method of unitary transformations to a model two-nucleon potential and construct from it an effective potential in a subspace of momenta below a given cut-off $\Lambda$. The S-matrices in the full space and in the subspace are…

Nuclear Theory · Physics 2008-11-26 E. Epelbaoum , W. Glöckle , A. Krüger , Ulf-G. Meißner

The Schrodinger motion of a charged quantum particle in an electromagnetic potential can be simulated by the paraxial dynamics of photons propagating through a spatially inhomogeneous medium. The inhomogeneity induces geometric effects that…

Quantum Physics · Physics 2009-12-29 K. -P. Marzlin , Juergen Appel , A. I. Lvovsky

Light is extensively used to steer the motion of atoms in free space, enabling cooling and trapping of matter waves through ponderomotive forces and Doppler-mediated photon scattering. Likewise, light interaction with free electrons has…