Wave Packet Dynamics with Bose-Einstein Condensates

Wave packet dynamics with Bose-Einstein condensates

R. Dum, A. Sanpera, K.-A. Suominen, M. Brewczyk, M. Kuś, K. Rza̧żewski, and M. Lewenstein (1) Commissariat à l’Energie Atomique, DSM/DRECAM/SPAM, Centre d’Etudes de Saclay 91191 Gif-sur-Yvette, France (2) Ecole Normale Supérieure, Laboratoire Kastler Brossel, 24, Rue Lhomond, F-75231 Paris Cedex 05, France (3) Helsinki Institute of Physics, PL 9, FIN-00014 Helsingin yliopisto, Finland (4) Filia ...

Wave packet dynamics in atomic systems and Bose - Einstein condensates

Dynamics of Bose-Einstein Condensates

We report on some recent results concerning the dynamics of Bose-Einstein condensates, obtained in a series of joint papers [5, 6] with L. Erdős and H.-T. Yau. Starting from many body quantum dynamics, we present a rigorous derivation of a cubic nonlinear Schrödinger equation known as the Gross-Pitaevskii equation for the time evolution of the condensate wave function.

Boolean Bose-einstein Condensates Bose-einstein Condensates

Burris, Stanley. ‘‘George Boole.’’ In The Stanford Encyclopedia of Philosophy, edited by Edward N. Zalta. 2010. Available from http://plato.stanford.edu/archives/sum2010/entries/boole/ Krantz, Steven G. Discrete Mathematics Demystified. New York: McGraw-Hill, 2009. Nahin, Paul J. The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age. Princeton, NJ: Princ...

Wave turbulence in Bose-Einstein condensates

The kinetics of nonequilibrium Bose-Einstein condensates are considered within the framework of the Gross-Pitaevskii equation. A systematic derivation is given for weak small-scale perturbations of a steady confined condensate state. This approach combines a wavepacket WKB description with the weak turbulence theory. The WKB theory derived in this paper describes the effect of the condensate on...