Numerical Methods for the study of Bose-Einstein Condensates using the Gross-Pitaevskii Equation

Numerical Methods for the study of Bose-Einstein Condensates using the Gross-Pitaevskii Equation

Per accedir al/s document/s amb el text complet, si us plau, seguiu el següent enllaç: http://hdl.handle.net/2117/187708
Data: 2021-03-25
Tipus de document: Coursework
Publicat per: Universitat Politècnica de Catalunya

Nota:

 
The Gross-Pitaevskii equation (GPE) is a mean eld approximation used to study Bose-Einstein condensates (BEC). Here, we present a brief derivation of the GPE without the use of second quantization, as well as some of its consequences. Next, we present the implementation in Python of some numerical methods to compute the ground state of BEC. We compare the results with well known theoretical limits and the numerical results obtained using GPELab, a MATLAB toolbox to compute stationary and dynamic solutions of the GPE
 
2018/2019
 
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