Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-08-09
Physics
Condensed Matter
Other Condensed Matter
10 pages, 4 figures and 1 table
Scientific paper
10.1143/JPSJ.74.2647
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.
Ando Taro
Nakamura Katsuhiro
Nakazono Naofumi
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