Eur. Phys. J. D 58, 23-28 (2010)
https://doi.org/10.1140/epjd/e2010-00098-3

Reaction diffusion equation in the ultra cold coexisting atomic and molecular condensates and the importance of Feshbach interaction

¹ Department of Physics, Presidency College, 86/1 College street, Kolkata, 700 073, India
² Department of Physics, IIT Kanpur, 208016, India
³ S. N. Bose Centre for Basics Sciences, Salt Lake, Kolkata, India

Corresponding author: msr_presi@yahoo.com

Received: 19 August 2009
Revised: 8 January 2010
Published online: 13 April 2010

Abstract

We consider a gas of bosonic atoms near a Feshbach resonance. The dynamics of the atomic and molecular condensates can be described in the limit of small fluctuations by a set of coupled nonlinear Gross Piteaviskii equations. In the case of a strong atom-molecule conversion, the system has an integral motion for the spatially uniform solutions which exhibits temporal oscillation. The possible consequence of this oscillation may be the existence of Josephson like current in the condensates which has been investigated.