Generalized ABCD propagation for interacting atomic clouds

Autor:	Impens, F., Bordé, Ch. J.
Rok vydání:	2007
Předmět:	Condensed Matter - Quantum Gases Condensed Matter - Other Condensed Matter Physics - Atomic Physics Physics - Optics Quantum Physics
Zdroj:	Phys. Rev. A 79, 043613 (2009)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.79.043613
Popis:	We present a treatment of the nonlinear matter wave propagation inspired from optical methods, which includes interaction effects within the atom optics equivalent of the aberrationless approximation. The atom-optical ABCD matrix formalism, considered so far for non-interacting clouds, is extended perturbatively beyond the linear regime of propagation. This approach, applied to discuss the stability of a matter-wave resonator involving a free-falling sample, agrees very well with the predictions of the full nonlinear paraxial wave equation. An alternative optical treatment of interaction effects, based on the aberrationless approximation and suitable for cylindrical paraxial beams of uniform linear density, is also adapted for matter waves. Comment: 15 pages, 4 figures, Final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0709.3381 Zobrazit plný text záznamu View this record from Arxiv