Dynamics of Macroscopic Wave Packet Passing through Double Slits: Role of Gravity and Nonlinearity
Abstract
Using the nonlinear Schroedinger equation (Gross-Pitaevskii equation), the dynamics of a macroscopic wave packet for Bose-Einstein condensates falling through double slits is analyzed. This problem is identified with a search for the fate of a soliton showing a head-on collision with a hard-walled obstacle of finite size. We explore the splitting of the wave packet and its reorganization to form an interference pattern. Particular attention is paid to the role of gravity (g) and repulsive nonlinearity (u_0) in the fringe pattern. The peak-to-peak distance in the fringe pattern and the number of interference peaks are found to be proportional to g^(-1/2) and u_0^(1/2)g^(1/4), respectively. We suggest a way of designing an experiment under controlled gravity and nonlinearity.
Keywords
Cite
@article{arxiv.cond-mat/0508210,
title = {Dynamics of Macroscopic Wave Packet Passing through Double Slits: Role of Gravity and Nonlinearity},
author = {Katsuhiro Nakamura and Naofumi Nakazono and Taro Ando},
journal= {arXiv preprint arXiv:cond-mat/0508210},
year = {2009}
}
Comments
10 pages, 4 figures and 1 table