Stability and decay rates of nonisotropic attractive Bose-Einstein condensates
نویسندگان
چکیده
C. Huepe, L. S. Tuckerman, S. Métens, and M. E. Brachet Department of Engineering Sciences and Applied Mathematics, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, USA Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur, Boîte Postale 133, 91403 Orsay, France Laboratoire de Physique Théorique de la Matière Condensée, Université Paris VII, Paris, France Laboratoire de Physique Statistique de l’Ecole Normale Supérieure, associé au CNRS et aux Universités Paris VI et VII, 24 Rue Lhomond, 75231 Paris, France ~Received 3 December 2002; published 27 August 2003!
منابع مشابه
Study on the Stabilization of Attractive Bose-einstein Condensates Using Projection Operator Method
We study the stability of Bose-Einstein condensates (BECs) with attractive twoand three-body interactions by analyzing the nonlinear, cubic quintic Gross-Pitaevskii equation (CQGPE). By employing a projection operator method we discuss the stabilization of an attractive BEC by varying the strength of the trapping potential. Our analysis suggests that the reduction in strength of the external tr...
متن کاملPhotoexcitation of Na Bose-Einstein condensates
The photoexcitation of Na Bose-Einstein condensates is studied by direct solution of the Gross-Pitaevskii equation in both cylindrical and Cartesian coordinates. As the frequency of a Bragg scattering potential is varied the first dipole mode of the ground state is brought into resonance. The dipole mode frequency is verified by diagonalization of the Bogoliubov–de Gennes matrix in cylindrical ...
متن کاملDynamics and Stability of Bose-Einstein Condensates: The Nonlinear Schrödinger Equation with Periodic Potential
The cubic nonlinear Schrödinger equation with a lattice potential is used to model a periodic dilute gas Bose-Einstein condensate. Both twoand three-dimensional condensates are considered, for atomic species with either repulsive or attractive interactions. A family of exact solutions and corresponding potential is presented in terms of elliptic functions. The dynamical stability of these exact...
متن کاملTransition state theory for wave packet dynamics: II. Thermal decay of Bose–Einstein condensates with long-range interaction
We apply transition state theory to coupled Gaussian wave packets and calculate thermal decay rates of Bose–Einstein condensates with additional long-range interaction. The ground state of such a condensate is metastable if the contact interaction is attractive and a sufficient thermal excitation may lead to its collapse. The use of transition state theory is made possible by describing the con...
متن کاملVortices in attractive Bose-Einstein condensates in two dimensions.
The form and stability of quantum vortices in Bose-Einstein condensates with attractive atomic interactions is elucidated. They appear as ring bright solitons, and are a generalization of the Townes soliton to nonzero winding number m. An infinite sequence of radially excited stationary states appear for each value of m, which are characterized by concentric matter-wave rings separated by nodes...
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