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Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscillate with an asymptotically constant frequency. Resonance…

Dynamical Systems · Mathematics 2023-10-10 Oskar A. Sultanov

We report the first experimental observation of bright EPR beams produced by a type-II optical parametric oscillator operating above threshold at frequency degeneracy. The degenerate operation is obtained by introducing a birefringent plate…

Quantum Physics · Physics 2008-12-18 Gaelle Keller , Virginia D'Auria , Nicolas Treps , Thomas Coudreau , Julien Laurat , Claude Fabre

Polarity fields are known to exhibit long distance patterns, in both physical and biological systems. The mechanisms behind such patterns are poorly understood. Here, we describe the dynamics of polarity fields using an original physical…

Biological Physics · Physics 2019-07-24 Maryam Aliee , Arezki Boudaoud

We study the role of a direct intracavity polarization coupling in the dynamics of transverse pattern formation in type-II optical parametric oscillators. Transverse intensity patterns are predicted from a stability analysis, numerically…

Pattern Formation and Solitons · Physics 2009-11-07 Gonzalo Izus , Maxi San Miguel , Daniel Walgraef

A new method for the compensation of misalignment in the spatial light modulator based optical linear filtering techniques is presented. It is based on the correlation of the wave fields generated across the input and the output planes of…

Orbital angular momentum (OAM) based structured light beams provide an additional degree of freedom for practical applications ranging from optical communication to laser-based material processing. Many techniques exist for generating such…

Superconducting parametric amplifiers have great promise for quantum-limited readout of superconducting qubits and detectors. Until recently, most superconducting parametric amplifiers had been based on resonant structures, limiting their…

Superconductivity · Physics 2015-01-13 Saptarshi Chaudhuri , Jiansong Gao , Kent Irwin

Macroscopic systems with continuous symmetries subjected to oscillatory fields have phases and transitions that are qualitatively different from their equilibrium ones. Depending on the amplitude and frequency of the fields applied,…

Statistical Mechanics · Physics 2009-11-07 I. Junier , J. Kurchan

A new device to generate polarization-entangled light in the continuous variable regime is introduced. It consists of an Optical Parametric Oscillator with two type-II phase-matched non-linear crystals orthogonally oriented, associated with…

Quantum Physics · Physics 2016-08-16 Julien Laurat , Gaëlle Keller , Claude Fabre , Thomas Coudreau

Optical Ising machines promise to solve complex optimization problems with an optical hardware acceleration advantage. Here we study the ground state properties of a nonlinear optical Ising machine realized by spatial light modulator,…

Optics · Physics 2023-02-20 Santosh Kumar , Zhaotong Li , Ting Bu , Chunlei Qu , Yuping Huang

The stability properties of Fourier-based multipass amplifier to misalignments (tilts) of its optical components has been investigated. For this purpose, a method to quantify the sensitivity to tilts based on the amplifier small signal gain…

A theoretical model is developed by exploiting the variational technique to investigate the evolution of an optical beam inside an optically pumped graded-index fiber amplifier. The variational analysis is a semi-analytical method that…

Optics · Physics 2023-10-24 Anuj P. Lara , Samudra Roy , Govind P. Agrawal

Artificial gauge fields enable the intriguing possibility to manipulate the propagation of light as if it were under the influence of a magnetic field even though photons possess no intrinsic electric charge. Typically, such fields are…

Optics · Physics 2023-03-22 Konrad Tschernig , Armando Perez-Leija , Kurt Busch

We develop a new method to isolate localized defects from extended vibrational modes in disordered solids. This method augments particle interactions with an artificial potential that acts as a high-pass filter: it preserves small-scale…

Soft Condensed Matter · Physics 2017-05-01 Sven Wijtmans , M. Lisa Manning

We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory for collective…

Chaotic Dynamics · Physics 2012-05-21 Saul Ares , Luis G. Morelli , David J. Jorg , Andrew C. Oates , Frank Julicher

In pattern-forming systems, localized patterns are readily found when stable patterns exist at the same parameter values as the stable unpatterned state. Oscillons are spatially localized, time-periodic structures, which have been found…

Pattern Formation and Solitons · Physics 2018-05-29 A. S. Alnahdi , J. Niesen , A. M. Rucklidge

We investigate nondegenerate parametric oscillations in a multimode superconducting microwave resonator that is terminated by a SQUID. The parametric effect is achieved by modulating magnetic flux through the SQUID at a frequency close to…

We study homogenization problem for the stationary Maxwell system. It is supposed that the magnetic permeability and the dielectric permittivity locally close to fast-oscillating (with respect to some small parameter) periodic functions…

Mathematical Physics · Physics 2011-01-28 Alexey A. Pozharskii

We determine the kind of parametric oscillators that are generated in the usual factorization procedure of second-order linear differential equations when one introduces a constant shift of the Riccati solution of the classical harmonic…

Mathematical Physics · Physics 2011-09-16 H. C. Rosu , K. V. Khmelnytskaya

We propose two schemes to generate entanglement between a pair of mechanical oscillators using parametric amplification. In contrast to existing parametric drive-based protocols, both schemes operate in the steady-state. Using a detuned…

Quantum Physics · Physics 2015-06-18 Alex Szorkovszky , Aashish A. Clerk , Andrew C. Doherty , Warwick P. Bowen