Publication Date
2004
Journal or Book Title
Physics Review A
Abstract
In this paper, an exact unitary transformation is examined that allows for the construction of solutions of coupled nonlinear Schrödinger equations with additional linear field coupling, from solutions of the problem where this linear coupling is absent. The most general case where the transformation is applicable is identified. We then focus on the most important special case, namely the well-known Manakov system, which is known to be relevant for applications in Bose-Einstein condensates consisting of different hyperfine states of 87Rb. In essence, the transformation constitutes a distributed, nonlinear as well as multi-component generalization of the Rabi oscillations between two-level atomic systems. It is used here to derive a host of periodic and quasi-periodic solutions including temporally oscillating domain walls and spiral waves.
Volume
70
Issue
6
Recommended Citation
Deconinck, B and Kevrekidis, PG, "Linearly coupled Bose-Einstein condensates: From Rabi oscillations and quasiperiodic solutions to oscillating domain walls and spiral waves" (2004). Physics Review A. 1101.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1101
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://pra.aps.org/abstract/PRA/v70/i6/e063605