Four-Wave Mixing in Bose-Einstein Condensate Systems With Multiple Spin States

Published

September 1, 2004

Author(s)

J P. Burke, Paul S. Julienne, Carl J. Williams, Y B. Band, M Trippenbach

Abstract

We calculate the four-wave mixing (FWM) in a Bose Einstein condensate system having multiple spin wave packets that are initally overlapping in physical space, but have nonvanishing relative momentun that cause them to recede from one another. Three initial receding wave packets can result in production of a fourth wave packet by the process of FWM due to atom?atom interactions of the condensate atoms. We consider cases where the four final wave packets are composed of 1, 2, 3 and 4 different internal spin components. FWM with 1- or 2-spin state wave packets is much stronger than 3- or 4-spin state FWM, wherein two of the coherent moving BEC wave packets form a polarization?grating that rotates the spin projection of the third wave into that of fourth diffracted wave (as opposed to the 1- or 2-spin state case where a regular density-grating is responsible for the diffraction). Calculations of FWM for 87Rb and 23Na condensate systems are presented.

Citation

Physical Review A (Atomic, Molecular and Optical Physics)

Volume

70 No. 3

Pub Type

Journals

Keywords

Bose-Einstein condensate, nonlinear optics, ultra cold atoms

Citation

Burke, J. , Julienne, P. , Williams, C. , Band, Y. and Trippenbach, M. (2004), Four-Wave Mixing in Bose-Einstein Condensate Systems With Multiple Spin States, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed October 10, 2025)