Simple model for interactions and corrections to the Gross-Pitaevskii equation

One of the assumptions leading to the Gross-Pitaevskii equation (GPE) is that the interaction between atom pairs can be written effectively as a δ function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the interparticle p...

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Bibliographic Details
Main Authors: Veksler, Hagar (Author), Fishman, Shmuel (Author), Ketterle, Wolfgang (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor), Massachusetts Institute of Technology. Research Laboratory of Electronics (Contributor), MIT-Harvard Center for Ultracold Atoms (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2014-08-21T17:46:59Z.
Subjects:
Online Access:Get fulltext
LEADER 01638 am a22002413u 4500
001 88958
042 |a dc 
100 1 0 |a Veksler, Hagar  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Physics  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Research Laboratory of Electronics  |e contributor 
100 1 0 |a MIT-Harvard Center for Ultracold Atoms  |e contributor 
100 1 0 |a Ketterle, Wolfgang  |e contributor 
700 1 0 |a Fishman, Shmuel  |e author 
700 1 0 |a Ketterle, Wolfgang  |e author 
245 0 0 |a Simple model for interactions and corrections to the Gross-Pitaevskii equation 
260 |b American Physical Society,   |c 2014-08-21T17:46:59Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/88958 
520 |a One of the assumptions leading to the Gross-Pitaevskii equation (GPE) is that the interaction between atom pairs can be written effectively as a δ function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the interparticle potential is introduced. The correction to the GPE predictions for the energy of a condensate confined by a harmonic trap in the Thomas-Fermi regime is estimated. Although it is found to be small, we believe that in some situations it can be measured using its dependance on the frequency of the confining trap. Due to the simplicity of the model, it may have a wide range of applications. 
520 |a National Science Foundation (U.S.) 
520 |a United States-Israel Binational Science Foundation (Grant 2010132) 
546 |a en 
655 7 |a Article 
773 |t Physical Review A