Theory of Ideal Four-Wave Mixing in Bose-Einstein Condensates
Wenji Deng, P. M. Hui
Abstract
Starting from a second-quantized Hamiltonian of many-particle systems, we derive the Gross-Pitaevskii (GP) equation in momentum space, which is suitable for studying the multi-wave mixing processes of coherent matter waves. The coupling equations are then applied to study ideal four-wave mixing (4WM), in which only four waves with definite wavevectors are involved. Some interesting problems of 4WM, such as the phase-matching condition, the collapse and revival behaviour, the effects of relative phase difference, and the conversion efficiency are discussed in detail. We also show that the main characters of recent 4WM experiment [Deng et al, Nature 398, 218 (1999)] can be undersood in the present simplified model.
Create a lesson
Related papers
Active Sculpting: morphodynamics of internally stirred active vesicles
Devadevan M M, Brato Chakrabarti
Emergent medium-range order in amorphous silicon
Zhen Zhang, Stephen R. Elliott, Yujie Wang et al.
Complex pattern in periodically driven binary Quincke colloids
Chuan Yu Zhang, Mu Yue Zhao, Xiao Yi Zhou et al.
Why shaking faster does not untangle: frequency-selective extraction of filaments from tangled matter
Ishant Tiwari, Sutikshan Bansal, Rosalind Huang et al.
Geometry-Encoded Hidden Orientational Memory
Vladimir A. Baulin
Curie-Weiss cell fluid model: Fitting to experimental critical-point data
I. V. Pylyuk, O. A. Dobush, M. P. Kozlovskii et al.