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We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, presents a set of ground states which is orbitally…

Analysis of PDEs · Mathematics 2015-05-28 Rolci Cipolatti , Juan López Gondar , Carlos Trallero-Giner

The dynamics of a generic class of scalar active matter exhibiting a diffusivity edge is studied in a confining potential where the amplitude is governed by a time-dependent protocol. For such non-equilibrium systems, the diffusion…

Statistical Mechanics · Physics 2024-04-18 Jonas Berx

We consider a two-component Bose-Einstein condensate in a one-dimensional optical cavity. Specifically, the condensate atoms are taken to be in two degenerate modes due to their internal hyperfine spin degrees of freedom and they are…

Quantum Gases · Physics 2016-08-14 Shabnam Safaei , Özgur Esat Müstecaplıoğlu , Bilal Tanatar

We propose an experimentally relevant protocol for the controlled generation of matter-wave dark solitons in atomic Bose-Einstein condensates (BECs). In particular, using direct numerical simulations, we show that by switching-on a…

Quantum Gases · Physics 2015-05-19 C. Wang , P. G. Kevrekidis , T. P. Horikis , D. J. Frantzeskakis

We show by extensive numerical simulations and analytical variational calculations that elongated binary non-miscible Bose-Einstein condensates subject to periodic modulations of the radial confinement exhibit a Faraday instability similar…

Quantum Gases · Physics 2012-12-20 Antun Balaz , Alexandru I. Nicolin

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 investigate the exact bright and dark solitary wave solutions of an effective one dimensional (1D) Bose-Einstein condensate (BEC) by assuming that the interaction energy is much less than the kinetic energy in the transverse direction.…

Pattern Formation and Solitons · Physics 2010-01-31 S. Rajendran , P. Muruganandam , M. Lakshmanan

We investigate experimentally a Bose Einstein condensate placed in a 1D optical lattice whose phase or amplitude is modulated in a frequency range resonant with the first bands of the band structure. We study the combined effect of the…

Quantum Gases · Physics 2019-09-04 C. Cabrera-Gutiérrez , E. Michon , M. Arnal , V. Brunaud , T. Kawalec , J. Billy , D. Guéry-Odelin

We report results of a systematic analysis of matter-wave gap solitons (GSs) in three-dimensional self-repulsive Bose-Einstein condensates (BECs) loaded into a combination of a cigar-shaped trap and axial optical-lattice (OL) potential.…

Quantum Gases · Physics 2019-06-06 A. Muñoz Mateo , V. Delgado , Boris A. Malomed

Solitons, or non-destructible local disturbances, are important features of many one-dimensional (1D) nonlinear wave phenomena, from water waves in narrow canals to light pulses in optical fibers. In ultra-cold gases, they have long been…

Quantum Gases · Physics 2015-03-20 T. Karpiuk , P. Deuar , P. Bienias , E. Witkowska , K. Pawlowski , M. Gajda , K. Rzazewski , M. Brewczyk

Faraday patterns can be induced in Bose-Einstein condensates by a periodic modulation of the system nonlinearity. We show that these patterns are remarkably different in dipolar gases with a roton-maxon excitation spectrum. Whereas for…

Other Condensed Matter · Physics 2013-05-29 R. Nath , L. Santos

The motion of a dark soliton is investigated in a one-dimensional dilute Bose-Einstein condensate confined in a harmonic trap and an optical lattice. The harmonic trap induces a dynamical instability of the soliton, culminating in sound…

Condensed Matter · Physics 2009-11-10 N. G. Parker , N. P. Proukakis , C. F. Barenghi , C. S. Adams

We investigate the formation of discrete breathers (DBs) and the dynamics of the mixture of two-species Bose-Einstein condensates (BECs) in open boundary optical lattices using the discrete nonlinear Schr\"{o}dinger equations. The results…

Quantum Gases · Physics 2016-02-02 Xiao-Dong Bai , Mei Zhang , Jun Xiong , Guo-Jian Yang , Fu-Guo Deng

This review discusses progress in the new field of coherent matter waves, in particular with respect to Bose-Einstein condensates. We give a short introduction to Bose-Einstein condensation and the theoretical description of the condensate…

Other Condensed Matter · Physics 2009-11-10 K. Bongs , K. Sengstock

We produce several families of solutions for two-component nonlinear Schr\"{o}dinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in the one component, bound to a bright or dark…

We experimentally investigate the dynamics of spin solitary waves (magnetic solitons) in a harmonically trapped, binary superfluid mixture. We measure the in-situ density of each pseudospin component and their relative local phase via an…

Quantum Gases · Physics 2020-07-17 A. Farolfi , D. Trypogeorgos , C. Mordini , G. Lamporesi , G. Ferrari

We introduce a system of two linearly coupled discrete nonlinear Schr\"{o}dinger equations (DNLSEs), with the coupling constant subject to a rapid temporal modulation. The model can be realized in bimodal Bose-Einstein condensates (BEC).…

Pattern Formation and Solitons · Physics 2010-11-23 H. Susanto , P. G. Kevrekidis , F. Kh. Abdullaev , Boris A. Malomed

We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then left free to expand ballistically. In spinor condensates, which represent one of…

Mathematical Physics · Physics 2018-09-26 Alessandro Michelangeli , Alessandro Olgiati

We investigate the combined effects of weak disorder and a two-dimensional (2D) optical lattice on the collective excitations of a harmonically trapped Bose-Einstein condensate (BEC) at zero temperature. Accordingly, we generalize the…

Quantum Gases · Physics 2015-05-18 Ying Hu , Zhaoxin Liang , Bambi Hu

The static properties, i.e., existence and stability, as well as the quench-induced dynamics of vortex-bright type excitations in two-dimensional harmonically confined spin-1 Bose-Einstein condensates are investigated. Linearly stable…

Quantum Gases · Physics 2023-03-03 G. C. Katsimiga , S. I. Mistakidis , K. Mukherjee , P. G. Kevrekidis , P. Schmelcher
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