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There has been rapid development of systems that yield strong interactions between freely propagating photons in one dimension via controlled coupling to quantum emitters. This raises interesting possibilities such as quantum information…

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

The problem of light propagation of frequency corresponding to half of the energy difference between a metastable excited state and the ground state of atoms is examined, and solved for coherent medium by analytic means. We demonstrate that…

High Energy Physics - Phenomenology · Physics 2015-03-17 M. Yoshimura

We establish a general framework for studying the bound states and the photon-emission dynamics of quantum emitters coupled to structured nanophotonic lattices with engineered dissipation (loss). In the single-excitation sector, the system…

Quantum Physics · Physics 2022-11-24 Zongping Gong , Miguel Bello , Daniel Malz , Flore K. Kunst

Light propagation in optical waveguides with periodically modulated index of refraction and alternating gain and loss are investigated for linear and nonlinear systems. Based on a multiscale perturbation analysis, it is shown that for many…

Optics · Physics 2015-06-23 Sean Nixon , Jianke Yang

We study a system of two interacting, non-indentical quantum emitters driven by a coherent field. We focus on the particular condition of two-photon resonance and obtain analytical expressions for the stationary density matrix of the system…

Quantum Physics · Physics 2021-08-18 Alejandro Vivas-Viaña , Carlos Sánchez Muñoz

The problem of propagation of photons and massive vector mesons in the presence of Lorenz and CPT invariance violating medium is studied when the parity-odd medium is bounded by a hyperplane separating it from the vacuum. The solutions in…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. A. Andrianov , S. S. Kolevatov , R. Soldati

We experimentally investigate a method of directly characterizing the photon number distribution of nonclassical light beams that is tolerant to losses and makes use only of standard binary detectors. This is achieved in a single…

Quantum Physics · Physics 2007-05-23 Daryl Achilles , Christine Silberhorn , Ian A. Walmsley

We study light propagation through cyclic arrays, composed by copies of a given $\mathcal{PT}$-symmetric dimer, using a group theoretical approach and finite element modeling. The theoretical mode-coupling analysis suggest the use of these…

The transfer-matrix method is a standard approach to wave propagation in stratified media. With the advent of cold-atom-based quantum and photonic technologies, several experiments and many proposals consider light propagation in…

Atomic Physics · Physics 2026-01-22 Igor M. Sokolov , William Guerin

A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the…

Quantum Physics · Physics 2015-06-26 F. Cannata , J. -P. Dedonder , A. Ventura

We demonstrate suppression and enhancement of spontaneous parametric down- conversion via quantum interference with two weak fields from a local oscillator (LO). Pairs of LO photons are observed to upconvert with high efficiency for…

Quantum Physics · Physics 2009-11-07 K. J. Resch , J. S. Lundeen , A. M. Steinberg

Photon-mediated interactions between atoms are of fundamental importance in quantum optics, quantum simulations and quantum information processing. The exchange of real and virtual photons between atoms gives rise to non-trivial…

In the present work, we explore the case of a general PT-symmetric dimer in the context of two both linearly and nonlinearly coupled cubic oscillators. To obtain an analytical handle on the system, we first explore the rotating wave…

Pattern Formation and Solitons · Physics 2014-09-26 J. Cuevas-Maraver , A. Khare , P. G. Kevrekidis , H. Xu , A. Saxena

For one-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomials of two variables.The mean values and dispersions of photon…

High Energy Physics - Theory · Physics 2019-08-17 V. V. Dodonov , O. V. Man'ko , V. I. Man'ko

We present a method, based on Feynman path integrals, to describe the propagation and properties of the quantised electromagnetic field in an arbitrary, nonlinear medium. We provide a general theory, valid for any order of optical…

Quantum Physics · Physics 2019-11-27 Mosbah Difallah , Alexander Szameit , Marco Ornigotti

One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulate two point interactions at a variable strength and distance. The feasibility of the exact construction of the…

Quantum Physics · Physics 2008-06-26 Miloslav Znojil

Optical parametric oscillators are among the best-developed quantum light sources, having already been adopted in precision measurement and underpinning various quantum computing and communication paradigms. Meanwhile, progress in photonic…

Quantum Physics · Physics 2025-12-23 Alex O. C. Davis , Alex I. Flint

We investigate the nonlinear interaction between two photons in a single input pulse at an atomic two level nonlinearity. A one dimensional model for the propagation of light to and from the atom is used to describe the precise…

Quantum Physics · Physics 2009-11-10 Holger F. Hofmann , Kunihiro Kojima , Shigeki Takeuchi , Keiji Sasaki

Photonics provide an efficient way to implement quantum walks, the quantum analogue of classical random walk that demonstrates rich physics with potential applications. However, most photonic quantum walks do not involve photon…

Quantum Physics · Physics 2023-04-17 Xinyuan Zheng , Edo Waks