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The multiphonon quantum dynamics in laser-pumped cavity optomechanical samples containing a vibrating mirror is investigated. Especially, we focus on dispersive interaction regimes where the externally applied coherent field frequency…

Quantum Physics · Physics 2022-03-09 Mihai A. Macovei , Adriana Pálffy

Including the effect of the molecular environment in the numerical modeling of time-resolved electronic spectroscopy remains an important challenge in computational spectroscopy. In this contribution, we present a general approach for the…

Quantum Physics · Physics 2024-12-17 Federico Gallina , Matteo Bruschi , Roberto Cacciari , Barbara Fresch

Solitons, as coherent structures that maintain their shape while traveling at constant velocity, are ubiquitous across various branches of physics, from fluid dynamics to quantum fields. However, it is within the realm of optics where…

Optics · Physics 2024-08-21 Dmitry Kazakov , Federico Capasso , Marco Piccardo

Optical solitons are known to be classically stable objects which are robust to perturbations. In this work, we show that due to quantum mechanical effects, an optical soliton that is initially in a classical soliton coherent state will…

Optics · Physics 2023-05-24 Stuart Ward , Rouzbeh Allahverdi , Arash Mafi

We introduce a general model which augments the one-dimensional nonlinear Schr\"{o}dinger (NLS) equation by nonlinear-diffraction terms competing with the linear diffraction. The new terms contain two irreducible parameters and admit a…

Mathematical Physics · Physics 2015-06-04 Y. Shen , P. G. Kevrekidis , N. Whitaker , Boris A. Malomed

We propose two models for the creation of stable dissipative solitons in optical media with the $\chi^{(2)}$ (quadratic) nonlinearity. To compensate spatially uniform loss in both the fundamental-frequency (FF) and second-harmonic (SH)…

Optics · Physics 2015-06-23 Valery E. Lobanov , Olga V. Borovkova , Boris A. Malomed

We unravel the existence and stability properties of dark soliton solutions as they extend from the regime of trapped quantum droplets towards the Thomas-Fermi limit in homonuclear symmetric Bose mixtures. Leveraging a phase-plane analysis,…

Pattern Formation and Solitons · Physics 2023-06-21 G. C. Katsimiga , S. I. Mistakidis , G. N. Koutsokostas , D. J. Frantzeskakis , R. Carretero-Gonzalez , P. G. Kevrekidis

The quantum statistics of damped optical solitons is studied using cumulant-expansion techniques. The effect of absorption is described in terms of ordinary Markovian relaxation theory, by coupling the optical field to a continuum of…

Quantum Physics · Physics 2009-10-31 E. Schmidt , L. Knoell , D. -G. Welsch

Solitary waves have consistently captured the imagination of scientists, ranging from fundamental breakthroughs in spectroscopy and metrology enabled by supercontinuum light, to gap solitons for dispersionless slow-light, and discrete…

Building on recent advances in quantum algorithms which measure and reuse qubits and in efficient classical simulation leveraging projective measurements, we extend these frameworks to real-time dynamics of quantum many-body systems…

Quantum Physics · Physics 2025-12-08 Bo Xiao , Benedikt Kloss , E. Miles Stoudenmire

In this work a generic model of \emph{multi-photon optics} is studied. It is considered $m$ pump and $n$ subharmonic fields. It shows how the multi-photon system, with direct and homodyne detection, can be obtained rigorously in the context…

Probability · Mathematics 2014-04-08 Ricardo Castro Santis

We present a unified quantum open system framework for lossy plasmonic cavities in which coherent dynamics, relaxation, dephasing, and irreversible absorption are treated on equal footing. The Dyson equation for the cavity photon propagator…

Optics · Physics 2026-03-17 Marco Vallone

The quantum dynamics of optomechanical systems was mostly studied for their fluctuations around classical steady states. We present a theoretical approach to determining the system observables of optomechanical systems as genuine quantum…

Quantum Physics · Physics 2012-06-21 Bing He

We consider an array of double oligomers in an optical waveguide device. A mathematical model for the system is the coupled discrete nonlinear Schr\"odinger (NLS) equations, where the gain-and-loss parameter contributes to the…

Pattern Formation and Solitons · Physics 2020-10-22 O. B. Kirikchi , N. Karjanto

A briefly formulated update of the recently published review [1] on the topic of multidimensional solitons (chiefly, in nonlinear optics and atomic Bose-Einstein condensates (BECs)) is presented. The update briefly summarizes some notable…

Pattern Formation and Solitons · Physics 2025-11-04 Boris A. Malomed

We present a self-consistent quantum optics approach to calculating the surface enhanced Raman spectrum of molecules coupled to arbitrarily shaped plasmonic systems. Our treatment is intuitive to use and provides fresh analytical insight…

Optics · Physics 2017-06-26 Mohsen Kamandar Dezfouli , Stephen Hughes

By treating the centers of solitons as point particles and studying their discrete dynamics, we demonstrate a new approach to the quantization of the soliton solutions of the sine-Gordon equation, one of the first model nonlinear field…

Pattern Formation and Solitons · Physics 2008-01-16 Ivan Christov , C. I. Christov

In previous publications, we showed that the incremental process of the chaotic diffusion of dissipative solitons in a prototypical complex Ginzburg-Landau equation, known, e.g., from nonlinear optics, is governed by a simple Markov process…

Chaotic Dynamics · Physics 2022-07-13 Tony Albers , Jaime Cisternas , Günter Radons

We study how non-Markovianity of an open two-level system can be detected when continuously monitoring a part of its bosonic environment. Considering a physical scenario of an atom in a lossy cavity, we demonstrate that the properties of…

Quantum Physics · Physics 2015-10-12 Kimmo Luoma , Pinja Haikka , Jyrki Piilo

We present a new optical scheme enabling the implementation of highly stable and configurable non-Markovian dynamics. Here one photon qubit can circulate in a multipass bulk geometry consisting of two concatenated Sagnac interferometers to…