Course: Phenomena and Theoretical Methods of Bose-Einstein Condensates
(Full course on BEC in summer 2011 Heidelberg) by Dr. Alexej I. Streltsov
Brief description of the course
Duration : SS2011 semester
When : Each Thursday from 11.15-13.45 (2,5 hours)
Where: CIP-Pools: KIP INF227
When it starts: 12 of May 2011
When if finishes?: End of the Summer Semester
Credit points ( 4 pt)
Working languages: English + Fortran.
Supporting languages: Russian, German, C.
Operation system: Unix
Course format: Lecture (get a knowledge) → PC-pool (apply the knowledge)
Phenomena: Condensation, Fragmentation, Statics and Dynamics in a real space
Theoretical methods: BEC from the perspective of Many-Body physics.
→ Full Many-Body → Simple Mean-Field → Clever Mean-Field
→ Brutforce Many-Body → Clever Many-body
Vocabulary : BEC, MB, MF, BMF, GP, MCTDHB, TDSE, NLSE, BH, BdG, SIL, ABM, BLAS, LAPACK, MKL, ACML, DVR
→ ”Real” physical system or process → Our model of it → Governing equation(s) →
→ Numerical solution of this equation → Analysis of the numbers obtained →
→ Connection to the “original” physical system → Can we do better?
Computational experience (mathematical) gained:
→ Numerical solution of time-(in)dependent (non-)linear integro-differential equations
→ Integrators: SIL (we’ll code it), ABM ( as an external subroutine)
Additional software involved:
blas + lapack→ If we can simplify the life – let us do it.
gnuplot → Data plotting *.ps, *.jpg – cool for a “single figure”, but dynamics means changes in time.
mencoder → How to make a movie out of a collection of the “single figures”.
scripts → Once it was written, push a button and get the results
of an attractive Bose-Einstein condensate from a barrier:
Formation of quantum superposition states Phys. Rev. A 80, 043616 (2009). arXiv:0812.3573
2) Efficient generation and properties of mesoscopic quantum superposition states
in an attractive Bose–Einstein condensate threaded by a potential barrier J. Phys. B: At. Mol. Opt. Phys. 42 091004 (2009).