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We study the coherent flow of interacting Bose-condensed atoms in mesoscopic waveguide geometries. Analytical and numerical methods, based on the mean-field description of the condensate, are developed to study both stationary as well as…

Other Condensed Matter · Physics 2009-11-13 Tobias Paul , Michael Hartung , Klaus Richter , Peter Schlagheck

Quantum emitters coupled to a waveguide is a paradigm of quantum optics, whose essential properties are described by waveguide quantum electrodynamics (QED). We study the possibility of observing the typical features of the conventional…

Quantum Physics · Physics 2023-09-01 David Castells-Graells , Daniel Malz , Cosimo C. Rusconi , J. Ignacio Cirac

Scattering properties of a single plasm on interacting with three non-equally spaced quantum dots coupled to one-dimensional surface plasmonic waveguide is investigated theoretically via the real-space approach. It is demonstrated that the…

Optics · Physics 2014-09-17 Nam-Chol Kim , Myong-Chol Ko

We consider a ring of three quantum dots mutually coupled by antiferromagnetic exchange interactions, and tunnel-coupled to two metallic leads: the simplest device in which the consequences of local frustration arising from internal degrees…

Strongly Correlated Electrons · Physics 2010-03-10 Andrew K. Mitchell , David E. Logan

Coherent macroscopic tunneling of a Bose-Einstein condensate between two parts of an optical lattice separated by an energy barrier is theoretically investigated. We show that by a pulsewise change of the barrier height, it is possible to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ramaz Khomeriki , Stefano Ruffo , Sandro Wimberger

We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an independent of coordinates constant adiabatic coupling. As a…

Statistical Mechanics · Physics 2007-05-23 V. A. Benderskii , E. V. Vetoshkin , E. I. Kats

It is shown that bifurcations of the mean-field dynamics of a Bose-Einstein condensate can be related with the quantum phase transitions of the original many-body system. As an example we explore the intra-band tunneling in the…

Other Condensed Matter · Physics 2009-11-13 V. S. Shchesnovich , V. V. Konotop

Nonclassical correlations between the quadrature-phase amplitudes of two spatially separated optical beams are exploited to realize a two-channel quantum communication experiment with a high degree of immunity to interception. For this…

Quantum Physics · Physics 2009-11-06 S. F. Pereira , Z. Y. Ou , H. J. Kimble

Nonlinear optical signals in optically driven quantum systems can reveal coherences and thereby open up the possibility for manipulation of quantum states. While the limiting cases of ultrafast and continuous-wave excitation have been…

By studying the effects of quadratic anisotropy and quartic perturbations on the two-dimensional harmonic oscillator, one arrives at a simple model termed here the Ince oscillator, whose analytic solutions are given in terms of Ince…

Optics · Physics 2023-05-29 R. Gutiérrez-Cuevas , D. H. J. O'Dell , M. R. Dennis , M. A. Alonso

We propose and theoretically investigate a model to realize cascaded optical nonlinearity with few atoms and photons in one-dimension (1D). The optical nonlinearity in our system is mediated by resonant interactions of photons with…

Optics · Physics 2013-08-20 Dibyendu Roy

Self-focusing instability is a well-known phenomenon of nonlinear optics, which is of great importance in the field of laser-plasma interactions. Self-focusing instability leads to beam focusing and, consequently, breakup into multiple…

Plasma Physics · Physics 2024-03-22 K. V. Lezhnin , Kenan Qu , N. J. Fisch , S. V. Bulanov

We investigate the dynamics of a coupled waveguide system with competing linear and nonlinear loss-gain profiles which can facilitate power saturation. We show the usefulness of the model in achieving unidirectional beam propagation. In…

Pattern Formation and Solitons · Physics 2017-04-05 S. Karthiga , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

We report on the stationary and robust propagation of light beams with rather arbitrary and controllable intensity and dissipation transverse patterns in self-focusing Kerr media with nonlinear absorption. When nonlinear absorption is due…

Optics · Physics 2017-04-19 Miguel A. Porras , Carlos Ruiz-Jiménez , Márcio Carvalho

We study theoretically two coupled periodically-curved optical waveguides with Kerr nonlinearity. We find that the tunneling between the waveguides can be suppressed in a wide range of parameters due to nonlinearity. Such suppression of…

Quantum Physics · Physics 2013-05-07 Xiaobing Luo , Qiongtao Xie , Biao Wu

Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems. In a previous article, we have constructed a large class of such resonant systems (with specific…

Mathematical Physics · Physics 2019-10-01 Anxo Biasi , Piotr Bizon , Oleg Evnin

We theoretically investigate the optical dipole interaction between a multi-level quantum system and a single-mode optical waveguide of any local polarisation. We investigate several paradoxical seeming situations, for example we find a…

Quantum Physics · Physics 2026-01-16 Ben Lang

We study theoretically nonlinear effects arising from the presence of a Kerr-down conversion nonlinear crystal inside an optomechanical cavity. For this system we investigate the influences of the two nonlinearities, i.e., the Kerr…

Quantum Physics · Physics 2013-03-06 S. Shahidani , M. H. Naderi , M. Soltanolkotabi , Sh. Barzanjeh

We investigate a network of coupled superconducting transmission line resonators, each of them made nonlinear with a capacitively shunted Josephson junction coupling to the odd flux modes of the resonator. The resulting eigenmode spectrum…

Superconductivity · Physics 2012-07-31 Martin Leib , Frank Deppe , Achim Marx , Rudolf Gross , Michael Hartmann

We study theoretically the nonlinear optical response of a two-dimensional semiconductor quantum dot supercrystal under a resonant continuous wave excitation. A single quantum dot is modeled as a three-level ladder-like system with the…