2012/08/31 by Jose Reslen
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dynamical system (definition) #Dynamical systems theory #Population #Quantum Information and Cryptography #Stability (learning theory) #Trapping #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1007/s13538-012-0114-x
published as Braz. J. Phys., Vol. 43, P. 5-12 (2013) · 7+ pages, 5 figures
openalex publication_date 2013/01/02 · arxiv created 2013/03/10 · arxiv updated 2013/03/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate the period of recurrence of dynamical systems comprising two interacting bosons. A number of theoretical issues related to this problem are discussed, in particular, the conditions for small periodicity. The knowledge gathered in this way is then used to propose a notion of dynamical stability based on the stability of the period. Dynamical simulations show good agreement with the proposed scheme. We also apply the results to the phenomenon known as coherent population trapping and find stability conditions in this specific case.