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Related papers: The multi-resonant Lugiato-Lefever model

200 papers

We are reporting, for the first time in the literature, theoretical Kerr spectra of Co|Pt multilayer systems as obtained on a first principles basis including multiple reflections and interferences from all the boundaries in-between the…

Materials Science · Physics 2009-11-07 A. Vernes , L. Szunyogh , P. Weinberger

The influence of thermo-optic effects on shape profiles of soliton crystals in optical Kerr microresonators is investigated. The study rests on a model that consists of the Lugiato-Lefever equation, coupled to the one-dimensional heat…

Optics · Physics 2022-10-14 B. Azah Bei Cho , I. Ndifon Ngek , Alain M. Dikande

We present a novel regime of cavity soliton excitation in a Kerr resonator driven by a train of desynchronised pulses. In this regime, the soliton solution is shown to be the sole available state for the intracavity field, allowing for the…

Using numerical simulations of an extended Lugiato-Lefever equation, we analyze the stability and nonlinear dynamics of Kerr frequency combs generated in microresonators and fiber resonators taking into account third-order dispersion…

We theoretically demonstrate how the resonant coupling between a pair of cavity-polaritons and a biexciton state can lead to a large single-photon Kerr nonlinearity in a semiconductor solid-state system. A fully analytical model of the…

Quantum Gases · Physics 2015-05-18 Iacopo Carusotto , Thomas Volz , Atac Imamoglu

We predict the existence of a novel type of temporal localized structure in injected Kerr--Gires--Tournois interferometers (KGTI). These bright pulses exist in the normal dispersion regime, yet they do not correspond to the usual scenario…

Optics · Physics 2024-12-10 T. G. Seidel , J. Javaloyes , S. V. Gurevich

We investigate time-independent solutions of a discrete optical cavity model featuring saturable Kerr nonlinearity, a discrete version of the Lugiato-Lefever equation. This model supports continuous wave (uniform) and localized (discrete…

Pattern Formation and Solitons · Physics 2025-01-29 R. Kusdiantara , H. Susanto , A. R. Champneys

We analyze the collider signatures of models with a vector-like top-prime quark and a massive color-octet boson. The top-prime quark mixes with the top quark in the Standard Model, leading to richer final states than ones that are…

High Energy Physics - Phenomenology · Physics 2015-06-03 Kyoungchul Kong , Mathew McCaskey , Graham W. Wilson

We start from the QED Lagrangian to describe a charged many-particle system coupled to the radiation field. A covariant density matrix approach to kinetic theory of QED plasmas, subjected to a strong external electro-magnetic field has…

Quantum Physics · Physics 2009-11-07 A. Hoell , V. G. Morozov , G. Roepke

A simple model is derived to prove the multi-filament structure of relativistic self-focusing with ultra-intense lasers. Exact analytical solutions describing the transverse structure of waveguide channels with electron cavitation, for…

Plasma Physics · Physics 2009-11-06 F. Cattani , A. Kim , D. Anderson , M. Lisak

The generation of large-amplitude coherent states of a massive mechanical resonator, and their quantum-limited detection represent useful tools for quantum sensing and for testing fundamental physics theories. In fact, any weak perturbation…

We present a method for resolving spatial mode overlaps in coupled microresonators based on Kerr and thermal cross-phase modulation. Through a pump-probe setup, we measure experimental overlap in a three-ring resonator with good agreement…

One of the most studied model systems in quantum optics is a two-level atom strongly coupled to a single mode of the electromagnetic field stored in a cavity, a research field named cavity quantum electrodynamics or CQED. CQED has recently…

Quantum Physics · Physics 2011-11-03 P. Bertet , F. R. Ong , M. Boissonneault , A. Bolduc , F. Mallet , A. C. Doherty , A. Blais , D. Vion , D. Esteve

We analyse the nonlinear dynamics of Fabry-Perot cavities of arbitrary finesse filled by a dispersive Kerr medium, pumped by a continuous wave laser or a synchronous train of flat-top pulses. The combined action of feedback, group velocity…

We report a theoretical and experimental investigation of fiber Fabry-Perot cavities aimed at enhancing Kerr frequency comb generation. The modulation instability (MI) power threshold is derived from the linear stability analysis of a…

We calculate the normalized second-order correlation function for a system of two tunnel-coupled photonic resonators, each one exhibiting a single-photon nonlinearity of the Kerr type. We employ a full quantum formulation: the master…

Other Condensed Matter · Physics 2010-09-24 S. Ferretti , L. C. Andreani , H. E. Tureci , D. Gerace

We investigate a doubly resonant optical cavity containing a Kerr nonlinear medium that couples two modes by a cross phase modulation. One of these modes is driven by a single photon pulsed field, and the other mode is driven by a coherent…

Quantum Physics · Physics 2015-05-14 W. J. Munro , K. Nemoto , G. J. Milburn

We investigate the dynamics of a four-photon Jaynes-Cummings model for large photon number. It is shown that at certain times the cavity field is in a pure state which is a superposition of two Kerr states, analogous to the Schr\"{o}dinger…

Quantum Physics · Physics 2009-11-07 Hongchen Fu , Allan I Solomon

We study the stability and bifurcation structure of spatially extended patterns arising in nonlin- ear optical resonators with a Kerr-type nonlinearity and anomalous group velocity dispersion, as described by the Lugiato-Lefever equation.…

Pattern Formation and Solitons · Physics 2018-10-24 P. Parra-Rivas , D. Gomila , L. Gelens , E. Knobloch

The Lugiato-Lefever equation is a cubic nonlinear Schr\"odinger equation, including damping, detuning and driving, which arises as a model in nonlinear optics. We study the existence of stationary waves which are found as solutions of a…

Analysis of PDEs · Mathematics 2017-08-02 Cyril Godey