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We provide a detailed description of the nonequilibrium time evolution of an interacting homogeneous Bose-Einstein condensate. We use a nonperturbative in-medium quantum field theory approach as a microscopic model for the Bose gas. The…

Soft Condensed Matter · Physics 2007-05-23 D. G. Barci , E. S. Fraga , Rudnei O. Ramos

We numerically investigate the one-dimensional transport of Bose-Einstein condensates in the context of guided atom lasers using a mean-field description of the condensate in terms of a spatially discretized Gross-Pitaevskii equation. We…

Quantum Gases · Physics 2014-12-12 Julien Dujardin , Alejandro Saenz , Peter Schlagheck

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

Soft Condensed Matter · Physics 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

Nonlinear coherent modes are the collective states of trapped Bose atoms, corresponding to different energy levels. These modes can be created starting from the ground state condensate that can be excited by means of a resonant alternating…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We investigate the Bose-Einstein Condensation on nonhomogeneous amenable networks for the model describing arrays of Josephson junctions. The resulting topological model, whose Hamiltonian is the pure hopping one given by the opposite of…

Operator Algebras · Mathematics 2011-06-23 Francesco Fidaleo , Daniele Guido , Tommaso Isola

We consider a spinor Bose-Einstein condensate in its polar ground state. We analyze magnetization waves of a finite amplitude and show that their nonlinear coupling to the density waves change the dependence of the frequency on the…

Soft Condensed Matter · Physics 2009-11-07 I. E. Mazets , E. V. Orlenko , B. G. Matisov

We present a numerical study of the dynamical effects following a sudden change of the transverse trapping frequency in an elongated Bose-Einstein condensate, which induces periodic oscillations of the radial density. At early times, we…

Quantum Gases · Physics 2018-09-12 Scott Robertson , Florent Michel , Renaud Parentani

We study the properties of coupled linear and nonlinear resonances. The fundamental phenomena and the level crossing scenarios are introduced for a nonlinear two-level system with one decaying state, describing the dynamics of a…

Other Condensed Matter · Physics 2008-08-12 D. Witthaut , E. M. Graefe , S. Wimberger , H. J. Korsch

After almost half a century since the work of Anderson [Phys. Rev. {\bf 109}, 1492 (1958)], at present there is no well established theoretical framework for understanding the dynamics of interacting particles in the presence of disorder.…

Quantum Gases · Physics 2010-12-01 S. G. Bhongale , Paata Kakashvili , C. J. Bolech , H. Pu

We consider the nonlinear scattering and transmission of an atom laser, or Bose-Einstein condensate (BEC) on a finite rectangular potential barrier. The nonlinearity inherent in this problem leads to several new physical features beyond the…

Quantum Gases · Physics 2015-05-05 Lincoln D. Carr , Rachel R. Miller , Daniel R. Bolton , Scott A. Strong

In a recent experiment, a Bose-Einstein condensate of Li7 has been excited by a harmonic modulation of the atomic s-wave scattering length via Feshbach resonance. By combining an analytical perturbative approach with extensive numerical…

Quantum Gases · Physics 2011-08-09 Ivana Vidanovic , Antun Balaz , Hamid Al-Jibbouri , Axel Pelster

We study the properties of the ground state of Bose-Einstein condensates with spatially inhomogeneous interactions and show that the atom density experiences a strong localization at the spatial region where the scattering length is close…

Pattern Formation and Solitons · Physics 2007-05-23 Victor M. Perez-Garcia

We study the interaction of a Bose-Einstein condensate in an optical lattice with additional electromagnetic fields under Raman resonance condition. System of evolution equations describing ultra-short optical pulse propagation and…

Pattern Formation and Solitons · Physics 2009-11-10 A. I. Maimistov , E. V. Kazantseva

We investigate the effects of ellipticity-induced curvature on atomic Bose-Einstein condensates confined in quasi-one-dimensional closed-loop waveguides. Our theoretical study reveals intriguing phenomena arising from the interplay between…

Quantum Gases · Physics 2023-10-24 Yelyzaveta Nikolaieva , Luca Salasnich , Alexander Yakimenko

We investigate waveguiding of ultraslow light pulses in an atomic Bose-Einstein condensate. We show that under the conditions of off-resonant electromagnetically induced transparency, waveguiding with a few ultraslow modes can be realized.…

Other Condensed Matter · Physics 2009-11-13 Devrim Tarhan , Nazmi Postacioglu , Ozgur E. Mustecaplioglu

The interplay between matter particles and gauge fields in physical spaces with nontrivial geometries can lead to novel topological quantum matter. However, detailed microscopic mechanisms are often obscure, and unconventional spaces are…

We investigate the transport through a few-level quantum system described by a Markovian master equation with temperature- and particle-density dependent chemical potentials. From the corresponding Onsager relations we extract linear…

Quantum Gases · Physics 2014-02-03 Christian Nietner , Gernot Schaller , Tobias Brandes

The general system is given of nonlinear equations describing dissipationless evolution of the oscillating Bose-condensate. The relaxation of transverse oscillations of the condensate in a trap of the cylindric symmetry is considered. The…

Statistical Mechanics · Physics 2009-11-10 Yu. Kagan , L. A. Maksimov

The development of integrated, waveguide-based atom optical devices requires a thorough understanding of nonlinear matter-wave mixing processes in confined geometries. This paper analyzes the stability of counterpropagating two-component…

Condensed Matter · Physics 2007-05-23 J. Heurich , H. Pu , M. G. Moore , P. Meystre

In this article, we describe an experimental system for generating Bose-Einstein condensates and controlling the shape and motion of the condensate by using miniaturised magnetic potentials. In particular, we describe the magnetic trap…

Soft Condensed Matter · Physics 2009-11-07 J. Fortagh , H. Ott , S. Kraft , A. Guenther , C. Zimmermann