Dynamics of Bose-Einstein condensates in one-dimensional optical lattices in the presence of transverse resonances

2005/04/11 by K. -P. Marzlin, K.-P. Marzlin, V. I. Yukalov · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #cond-mat.other

paper · pdf · doi:10.1140/epjd/e2005-00040-x

published as Eur. Phys. J. D 33, p. 253 (2005) · 12 pages, 6 figures

openalex publication_date 2005/04/11 · arxiv created 2005/05/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The dynamics of Bose-Einstein condensates in the lowest energy band of a one-dimensional optical lattice is generally disturbed by the presence of transversally excited resonant states. We propose an effective one-dimensional theory which takes these resonant modes into account and derive variational equations for large-scale dynamics. Several applications of the theory are discussed and a novel type of "triple soliton" is proposed, which consists of a superposition of a wavepacket at the upper band edge and two transversally excited wavepackets which are displaced in quasi-momentum space.

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