Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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



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


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.
Physical Review A (Atomic, Molecular and Optical Physics)
70 No. 3


Bose-Einstein condensate, nonlinear optics, ultra cold atoms


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 May 22, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created September 1, 2004, Updated February 17, 2017