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This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate near the interface, in the case of strong segregation. This yields a system of two coupled ODE's for which we want to have…

Analysis of PDEs · Mathematics 2016-05-17 Amandine Aftalion , Christos Sourdis

The focusing of a propagating untrapped Bose-Einstein condensate is studied theoretically. We use a scaling solution method comprising a time-dependent scaling function to analytically examine the dynamics of a falling Bose-Einstein…

Quantum Gases · Physics 2021-12-14 R. Richberg , A. M. Martin

We examine the low-lying collective quasiparticle modes of a quasi-one-dimensional mixture of Bose-Einstein condensates having dipolar and non-dipolar atomic species. The dipolar atomic species have permanent magnetic dipolar moments. We…

Quantum Gases · Physics 2025-12-09 Harsimranjit Kaur , Kuldeep Suthar

Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes…

Other Condensed Matter · Physics 2009-03-04 Michael Uhlmann

Based on the modified Gross-Pitaevskii equation for atoms with intrinsic dipole moments which accounts for the relaxation of a condensate, the dipole-dipole interaction and the interaction of atoms with the electromagnetic field, the…

Quantum Gases · Physics 2020-01-08 Yu. M. Poluektov , A. A. Soroka

We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

We study the collective modes of a Bose-Einstein condensate subject to an optically induced density-dependent gauge potential. The corresponding interacting gauge theory lacks Galilean invariance, yielding an exotic superfluid state. The…

Quantum Gases · Physics 2015-01-30 Matthew Edmonds , Manuel Valiente , Patrik Öhberg

We analyze a proposed experiment [Boixo et al., Phys. Rev. Lett. 101, 040403 (2008)] for achieving sensitivity scaling better than $1/N$ in a nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate (BEC) of $N$ atoms.…

Quantum Physics · Physics 2015-05-19 Alexandre B. Tacla , Sergio Boixo , Animesh Datta , Anil Shaji , Carlton M. Caves

The solid-on-solid (SOS) model of an interface separating two phases is exactly soluble in two dimensions (d=2) when the interface becomes a one-dimensional string. The exact solution in terms of the transfer matrix is recalled and the…

Soft Condensed Matter · Physics 2009-11-11 J. Stecki

We have studied the nonequilibrium fluctuations occurring at the interface between two miscible phases of a near-critical binary mixture during a free diffusion process. The small-angle static scattered intensity is the superposition of…

Statistical Mechanics · Physics 2009-11-07 Pietro Cicuta , Alberto Vailati , Marzio Giglio

Correspondence between frequency and energy spectra and biorthogonality conditions for the excitations of Bose-Einstein condensates described by Gross-Pitaevskii model have been derived selfconsistently revealing several novel aspects…

Soft Condensed Matter · Physics 2009-10-31 Dmitry V. Skryabin

We investigate properties of two-dimensional bilayered dipolar Bose condensed gases in a weak random potential with Gaussian correlation at zero temperature. Here the dipoles are oriented perpendicularly to the layers and in…

Disordered Systems and Neural Networks · Physics 2020-09-01 Abdelaali Boudjemaa , Redaouia Keltoum

We explore, both experimentally and theoretically, the response of an elongated Bose-Einstein condensate to modulated interactions. We identify two distinct regimes differing in modulation frequency and modulation strength. Longitudinal…

Quantum Gases · Physics 2019-04-03 J. H. V. Nguyen , M. C. Tsatsos , D. Luo , A. U. J. Lode , G. D. Telles , V. S. Bagnato , R. G. Hulet

We experimentally and theoretically investigate the lowest-lying axial excitation of an atomic Bose-Einstein condensate in a cylindrical box trap. By tuning the atomic density, we observe how the nature of the mode changes from a…

We describe repulsively interacting Bose-Einstein condensates in spatially correlated disorder potentials of arbitrary dimension. The first effect of disorder is to deform the mean-field condensate. Secondly, the quantum excitation spectrum…

Quantum Gases · Physics 2011-06-28 Christopher Gaul , Cord A. Müller

We consider the Gross-Pitaevskii (GP) equation in the presence of periodic and quasiperiodic superlattices to study cigar-shaped Bose-Einstein condensates (BECs) in such potentials. We examine spatially extended wavefunctions in the form of…

Pattern Formation and Solitons · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis

We study the emergence of Faraday waves in cigar-shaped collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. Considering a Gaussian-shaped radially inhomogeneous scattering length,…

We investigate the ground-state phase diagram of a binary mixture of Bose-Einstein condensates (BECs) with competing interspecies $s$- and $p$-wave interactions. Exploiting a pseudopotential model for the $l=1$ partial wave, we derive an…

Quantum Gases · Physics 2024-04-25 Min Deng , Ming Xue , Jinghan Pang , Hui Luo , Zhiguo Wang , Jinbin Li , Dayou Yang

We consider periodic waves in miscible two-component Bose-Einstein condensates with repulsive nonlinear interactions constants. Exact one-phase solution is found for the case when all these constants are equal to each other (i.e., for…

Quantum Gases · Physics 2013-10-08 A. M. Kamchatnov

One dimensional propagation of ultraslow optical pulses in an atomic Bose-Einstein condensate taking into account the dispersion and the spatial inhomogeneity is investigated. Analytical and semi-analytical solutions of the dispersive…

Optics · Physics 2012-01-31 Devrim Tarhan , Seckin Sefi , Ozgur E. Mustecaplioglu