Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice
نویسندگان
چکیده
P. G. Kevrekidis, R. Carretero-González, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA Nonlinear Dynamical Systems Group,* Department of Mathematics & Statistics, San Diego State University, San Diego, California 92182-7720, USA Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel ~Received 29 April 2003; published 19 September 2003!
منابع مشابه
Solitons for nearly integrable bright spinor Bose-Einstein condensate
Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrödinger equation, soliton perturbation theory is developed for the $F=1$ bright spinor Bose-Einstein condensates. A small disturbance of the integrability condition can be considered as a small correction to the integrable equation. By choosing appropriate perturbation, the soli...
متن کاملCollisionally Inhomogeneous Bose-Einstein Condensates
This dissertation studies solitary waves in collisionally inhomogeneous BoseEinstein condensates in a magnetic trap using a quasi-1D mean-field model. We introduce a model for Bose-Einstein condensate with spatially and temporally modulated nonlinearity. In terms of the spatially periodic nonlinear lattice, we study BECs in a lattice one of which minimum in a period either overlap with the mini...
متن کاملPulsating and persistent vector solitons in a Bose-Einstein condensate in a lattice upon phase separation instability.
We study numerically the outcome of the phase separation instability of a dual-species Bose-Einstein condensate in an optical lattice. When only one excitation mode is unstable a bound pair of bright and dark solitonlike structures periodically appears and disappears, whereas for more than one unstable mode a persistent soliton-antisoliton pair develops. The oscillating soliton represents a reg...
متن کاملDark-dark solitons and modulational instability in miscible two-component Bose-Einstein condensates
We investigate the dynamics of two miscible superfluids experiencing fast counterflow in a narrow channel. The superfluids are formed by two distinguishable components of a trapped dilute-gas Bose-Einstein condensate (BEC). The onset of counterflow-induced modulational instability throughout the cloud is observed and shown to lead to the proliferation of dark-dark vector solitons. These soliton...
متن کاملMean-field model for Josephson oscillation in a Bose-Einstein condensate on an one-dimensional optical trap
Using the axially-symmetric time-dependent Gross-Pitaevskii equation we study the phase coherence in a repulsive Bose-Einstein condensate (BEC) trapped by a harmonic and an one-dimensional optical lattice potential to describe the experiment by Cataliotti et al. on atomic Josephson oscillation [Science 293, 843 (2001)]. The phase coherence is maintained after the BEC is set into oscillation by ...
متن کاملDark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates
We study the dynamics of dark solitons in spatially inhomogeneous media with applications to cigar-shaped Bose–Einstein condensates trapped in a harmonic magnetic potential and a periodic potential representing an optical lattice. We distinguish and systematically investigate the cases with the optical lattice period being smaller, larger, or comparable to the width of the dark soliton. Analyti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003