Energy-dependent scattering and the Gross-Pitaevskii equation in two-dimensional Bose-Einstein condensates
نویسندگان
چکیده
منابع مشابه
The Gross-Pitaevskii Equation and Bose-Einstein condensates
The Gross-Pitaevskii equation is discussed at the level of an advanced course on statistical physics. In the standard literature the Gross-Pitaevskii equation is usually obtained in the framework of the second quantisation formalism, which in many cases goes beyond the material covered in many advanced undergraduate courses. In this paper, we motivate the derivation of the Gross-Pitaevskii equa...
متن کاملBose–Einstein condensates: Analytical methods for the Gross–Pitaevskii equation
We present simple analytical methods for solving the Gross–Pitaevskii equation (GPE) for the Bose–Einstein condensation (BEC) in the dilute atomic alkali gases. Using a soliton variational Ansatz we consider the effects of repulsive and attractive effective nonlinear interactions on the BEC ground state. We perform a comparative analysis of the solutions obtained by the variational Ansatz, the ...
متن کاملOne-dimensional cubic-quintic Gross-Pitaevskii equation for Bose-Einstein condensates in a trap potential
By means of a new variational method we report a direct solution for quintic and cubic-quintic nonlinear 1D Gross-Pitaeskii equations (GPE) in a harmonic confined potential. We explore the influence of the quintic nonlinear term on the ideal 1D pure cigar-like shape model for attractive and repulsive atom-atom interaction in Bose-Einstein condensates (BEC). Also, we offer a closed analytical ex...
متن کاملVortex synchronization in Bose–Einstein condensates: a time-dependent Gross–Pitaevskii equation approach
In this work, we consider vortex lattices in rotating Bose–Einstein condensates composed of two species of bosons having different masses. Previously (Barnett et al 2008 New J. Phys. 10 043030), it was claimed that the vortices of the two species form bound pairs and the two vortex lattices lock. Remarkably, the two condensates and the external drive all rotate at different speeds owing to the ...
متن کاملExact solutions of the Gross-Pitaevskii equation for stable vortex modes in two-dimensional Bose-Einstein condensates
Lei Wu ( ),1,* Lu Li,2 Jie-Fang Zhang,1 Dumitru Mihalache,3 Boris A. Malomed,4 and W. M. Liu5 1Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 2Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China 3Horia Hulubei National Institute for Physics and Nuclear Engineering, R-077125 Magurele-Bucharest, Romania 4Department of Phys...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2002
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.65.043617