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A system of equations has been proposed for a monochromatic weakly nonlinear light wave in a Kerr medium. This system is equivalent up to the third order in electric field to the known equation $\mbox{curl}\,\mbox{curl}\, {\bf E}=k_0^2[{\bf…

Optics · Physics 2025-01-20 Victor P. Ruban

Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a non-linear minisuperspace equation by methods analogous to Bose-Einstein condensation.…

General Relativity and Quantum Cosmology · Physics 2012-12-18 Martin Bojowald , Alexander L. Chinchilli , Christine C. Dantas , Matthew Jaffe , David Simpson

From quantum field theory, we derive the chiral kinetic theory involving nonlinear quantum corrections coupled with spacetime-dependent electromagnetic fields and fluid velocity gradients. An equilibrium Wigner function determined by the…

High Energy Physics - Theory · Physics 2025-07-02 Kazuya Mameda

We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. This motion can be implemented mechanically or simulated via the modulation of the couplings between the qubits and the waveguide. When the…

Quantum Physics · Physics 2024-09-02 Egor S. Vyatkin , Alexander V. Poshakinskiy , Alexander N. Poddubny

We consider combining of multiple laser beams into a single near diffraction-limited beam by beam self-focusing (collapse) in a Kerr medium. The beams with the total power above critical are combined in the near field and then propagated in…

Pattern Formation and Solitons · Physics 2016-06-30 Pavel M. Lushnikov , Natalia Vladimirova

The Casimir effect results from alterations of the zero-point electromagnetic energy introduced by boundary-conditions. For ferromagnetic layers separated by vacuum (or a dielectric) such boundary-conditions are influenced by the…

Quantum Physics · Physics 2009-11-07 G. Metalidis , P. Bruno

Higher order nonclassical properties of fields propagating through a codirectional asymmetric nonlinear optical coupler which is prepared by combining a linear wave guide and a nonlinear (quadratic) wave guide operated by second harmonic…

Quantum Physics · Physics 2022-06-10 Kishore Thapliyal , Anirban Pathak , Biswajit Sen , Jan Perina

Modification of the right-hand-side of canonical commutation relations (CCR) naturally occurs if one considers a harmonic oscillator with indefinite frequency. Quantization of electromagnetic field by means of such a non-CCR algebra…

Quantum Physics · Physics 2008-11-26 Marek Czachor

The nonlinear interaction of light in an optical fibre can mimic the physics at an event horizon. This analogue arises when a weak probe wave is unable to pass through an intense soliton, despite propagating at a different velocity. To…

It is shown that nonlinear electrodynamics of the Born--Infeld theory type may be exploited to shed insight into a few fundamental problems in theoretical physics, including rendering electromagnetic asymmetry to energetically exclude…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Yisong Yang

A brief review is given of topics relating to dynamical processes arising in nonlinear interactions between light and resonant systems (atoms or molecules) in the presence of a magnetic field.

Atomic Physics · Physics 2009-11-10 E. B. Alexandrov , M. Auzinsh , D. Budker , D. F. Kimball , S. M. Rochester , V. V. Yashchuk

In this article, we review the history, current status, physical mechanisms, experimental methods, and applications of nonlinear magneto-optical effects in atomic vapors. We begin by describing the pioneering work of Macaluso and Corbino…

Atomic Physics · Physics 2009-11-07 D. Budker , W. Gawlik , D. F. Kimball , S. M. Rochester , V. V. Yashchuk , A. Weis

In previous works Suppes and de Barros used a pure particle model to derive interference effects, where individual photons have well-defined trajectories, and hence no wave properties. In the present paper we extend that description to…

Quantum Physics · Physics 2009-10-28 Patrick Suppes , Adonai S. Sant'Anna , J. Acacio de Barros

The long-range interaction between two atoms and the long-range interaction between an ion and an electron are compared at small and large intersystem separations. The vacuum dressed atom formalism is applied and found to provide a…

Atomic Physics · Physics 2010-09-17 James F. Babb

The present thesis deals with some properties of classical and quantum scalar fields in an inhomogeneous and/or time-dependent background, focusing on models where the latter can be described as a curved space-time with an event horizon.…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Florent Michel

We study analytically and numerically an optical analogue of Dirac solitons in binary waveguide arrays in presence of Kerr nonlinearity. Pseudo-relativistic soliton solutions of the coupled-mode equations describing dynamics in the array…

Optics · Physics 2015-06-15 Truong X. Tran , Stefano Longhi , Fabio Biancalana

General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength two-form and induction two-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory…

High Energy Physics - Theory · Physics 2011-05-10 Sergio Rivera , Frederic P. Schuller

We propose and study the properties of a non-linear electrodynamics that emerges inspired on the physics of Dirac materials. This new electrodynamic model is an extension of the one-loop corrected non-linear effective Lagrangian computed in…

Materials Science · Physics 2023-09-29 M. J. Neves , Patricio Gaete , L. P. R. Ospedal , J. A. Helayël-Neto

We study the possible cosmological models in Kaluza-Klein-type multidimensional gravity with a curvature-nonlinear Lagrangian and a spherical extra space, taking into account the Casimir energy. First, we find a minimum of the effective…

General Relativity and Quantum Cosmology · Physics 2017-09-19 S. V. Bolokhov , K. A. Bronnikov

We study nonlinear dynamics of superposition of quantum wavepackets in various systems such as Kerr medium, Morse oscillator and bosonic Josephson junction. The prime reason behind this study is to find out how the superposition of states…

Quantum Physics · Physics 2024-08-12 S. Kannan , M. Rohith , C. Sudheesh
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