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We investigate numerically interactions between two in-phase or out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media in one transverse dimension. We discuss different cases in which the beams with…

Pattern Formation and Solitons · Physics 2014-11-06 Yiqi Zhang , Milivoj R. Belić , Huaibin Zheng , Haixia Chen , Changbiao Li , Yuanyuan Li , Yanpeng Zhang

The concept of transformation optics is extended to nonlinear electrodynamics. It is shown that transformation optics favors implicit constitutive relations in terms of energy densities D.E and B.H rather than E^2 and H^2. The Kerr…

Optics · Physics 2011-12-30 Luzi Bergamin , Pekka Alitalo , Sergei Tretyakov

Optomechanical systems have been shown both theoretically and experimentally to exhibit an analogon to atomic electromagnetically induced transparency, with sharp transmission features that are controlled by a second laser beam. Here we…

Quantum Physics · Physics 2013-09-26 Andreas Kronwald , Florian Marquardt

We investigate a hybrid electro-optomechanical system that allows us to obtain controllable strong Kerr nonlinearities in the weak-coupling regime. We show that when the controllable electromechanical subsystem is close to its quantum…

Quantum Physics · Physics 2013-10-25 Xin-You Lü , Wei-Min Zhang , Sahel Ashhab , Ying Wu , Franco Nori

We study evolution equations and stationary homogeneous solutions for electric and magnetic field amplitudes in a ring cavity with flat mirrors. The cavity is filled with a positive or negative refraction index material with third order…

Pattern Formation and Solitons · Physics 2015-08-24 D. A. Martin , M. Hoyuelos

We study the dynamical Casimir effect in an electromagnetic cavity containing a Kerr medium. We obtain approximate expressions for the time evolution operator as well as for the number operator in the Heisenberg representation. We have…

Quantum Physics · Physics 2017-05-24 R. Román-Ancheyta , C. González-Gutiérrez , J. Récamier

We study soliton reflection/transmission at the interface between uniform medium and the optical lattice with focusing Kerr nonlinearity. We reveal that such interfaces afford rich new opportunities for controlling the reflection and…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

Optical cavities are widely used to enhance the interaction between atoms and light. Typical designs using a geometrically symmetric structure in the near-concentric regime face a tradeoff between mechanical stability and high single-atom…

We experimentally investigate nonlinear couplings between vibrational modes of strings of cold ions stored in linear ion traps. The nonlinearity is caused by the ions' Coulomb interaction and gives rise to a Kerr-type interaction…

Quantum Physics · Physics 2008-04-30 C. F. Roos , T. Monz , K. Kim , M. Riebe , H. Haeffner , D. F. V. James , R. Blatt

We study nonlinear interactions in a strongly driven optomechanical cavity, in regimes where the interactions give rise to resonant scattering between optomechanical polaritons and are thus strongly enhanced. We use a Keldysh formulation…

Quantum Physics · Physics 2015-06-30 Marc-Antoine Lemonde , Aashish A. Clerk

In a cavity filled with a Kerr medium it is possible to generate the superposition of coherent states, i.e. Schroodinger cat states may be realized in this system. We show that such a medium may be mimicked by the propagation of a…

Optics · Physics 2023-07-19 F. Soto-Eguibar , V. Arrizon , A. Zúñiga-Segundo , H. M. Moya-Cessa

We demonstrate a macro-coherent regime in exciton-polariton systems, where nonequilibrium polariton Bose--Einstein condensation coexists with macroscopically occupied vibrational states. Strong exciton-vibration coupling induces an…

We show that the interaction between a movable mirror with a quantized field that interacts with a two-level atom may be simplified via a transformation that involves Susskind-Glogower operators (SGO). By using this transformation it is…

Quantum Physics · Physics 2013-03-08 D. Rodríguez-Méndez , O. Aguilar-Loreto , H. Moya-Cessa

We propose a simple method to generate quantum entanglement between two macroscopic mechanical resonators in a two-cavity optomechanical system. This entanglement is induced by the radiation pressure of a single photon hopping between the…

Quantum Physics · Physics 2014-01-14 Jie-Qiao Liao , Qin-Qin Wu , Franco Nori

We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad class of effective short-range…

Strongly Correlated Electrons · Physics 2008-06-01 Roman Schmied , Tommaso Roscilde , Valentin Murg , Diego Porras , J. Ignacio Cirac

By considering mirror oscillation in a "tripod-scheme" laser-atom system, we advocate explorative studies of driven Dirac-like equations. Both analytical and numerical studies show that mirror oscillation can be used to drive an effective…

Quantum Physics · Physics 2015-05-18 Qi Zhang , Jiangbin Gong , C. H. Oh

We generalize the projection to orthogonal function basis (including polarization modes) method for nonlinear (Kerr medium) fiber and use this method in a case of two-mode waveguide. We consider orthogonal Bessel functions basis that fit…

Optics · Physics 2007-05-23 S. B. Leble , B. Reichel

We formulate a non-relativistic Hamiltonian in order to describe the interaction between a moving dielectric membrane and radiation pressure. Such a Hamiltonian is derived without making use of the single-mode adiabatic approximation, and…

Quantum Physics · Physics 2011-12-08 H. K. Cheung , C. K. Law

When light and matter interact strongly, the resulting hybrid system inherits properties from both constituents, allowing one to modify material behavior by engineering the surrounding electromagnetic environment. This concept underlies the…

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

Pattern Formation and Solitons · Physics 2015-06-19 Pavel M. Lushnikov , Natalia Vladimirova
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