Multidimensional quantum solitons with nondegenerate parametric interactions: Photonic and Bose-Einstein condensate environments

被引:34
作者
Kheruntsyan, KV [1 ]
Drummond, PD [1 ]
机构
[1] Univ Queensland, Dept Phys, St Lucia, Qld 4067, Australia
来源
PHYSICAL REVIEW A | 2000年 / 61卷 / 06期
关键词
D O I
10.1103/PhysRevA.61.063816
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider the quantum theory of three fields interacting via parametric and repulsive quartic couplings. This can be applied to treat photonic chi((2)) and chi((3)) interactions, and interactions in atomic Bose-Einstein condensates or quantum Fermi gases, describing coherent molecule formation together with a-wave scattering. The simplest two-particle quantum solitons or bound-state solutions of the idealized Hamiltonian, without a momentum cutoff, are obtained exactly. They have a pointlike structure in two and three dimensions-even though the corresponding classical theory is nonsingular. We show that the solutions can be regularized with a momentum cutoff. The parametric quantum solitons have much more realistic length scales and binding energies than chi((3)) quantum solitons, and the resulting effects could potentially be experimentally tested in highly nonlinear optical parametric media or interacting matter-wave systems. N-particle quantum solitons and the ground state energy are analyzed using a variational approach. Applications to atomic/molecular Bose-Einstein condensates (BEC's) are given, where we predict the possibility of forming coupled BEC solitons in three space dimensions, and analyze "superchemistry" dynamics.
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页数:20
相关论文
共 93 条
[1]  
Abrikosov AA., 1975, Methods of Quantum Field Theory in Statistical Physics
[2]   OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].
ANDERSON, MH ;
ENSHER, JR ;
MATTHEWS, MR ;
WIEMAN, CE ;
CORNELL, EA .
SCIENCE, 1995, 269 (5221) :198-201
[3]  
[Anonymous], COMMUNICATION
[4]   ULTRACOLD-MOLECULE PRODUCTION BY LASER-COOLED ATOM PHOTOASSOCIATION [J].
BAND, YB ;
JULIENNE, PS .
PHYSICAL REVIEW A, 1995, 51 (06) :R4317-R4320
[5]   Two-dimensional solitary-waves in media with quadratic and cubic nonlinearity [J].
Bang, O ;
Kivshar, YS ;
Buryak, AV ;
De Rossi, A ;
Trillo, S .
PHYSICAL REVIEW E, 1998, 58 (04) :5057-5069
[6]   Dynamical equations for wave packets in materials with both quadratic and cubic response [J].
Bang, O .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (01) :51-61
[7]   Self-focusing and solitonlike structures in materials with competing quadratic and cubic nonlinearities [J].
Berge, L ;
Bang, O ;
Rasmussen, JJ ;
Mezentsev, VK .
PHYSICAL REVIEW E, 1997, 55 (03) :3555-3570
[8]   FORMATION OF STABLE SOLITONS IN QUADRATIC NONLINEAR MEDIA [J].
BERGE, L ;
MEZENTSEV, VK ;
RASMUSSEN, JJ ;
WYLLER, J .
PHYSICAL REVIEW A, 1995, 52 (01) :R28-R31
[9]  
Bloembergen N., 1965, NONLINEAR OPTICS
[10]  
Bogolyubov N. N., 1947, J. Phys. (USSR), V11, P23