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arXiv:1609.08951 · Physics of Particles and Nuclei Letters

Bethe vectors and form factors for two-component bose gas

E. Ragoucy

Published Mar 1, 2017• 0 citations
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Abstract

This short note presents works done in collaboration with S. Pakuliak (JINR, Dubna) and N. Slavnov (Steklov Math. Inst., Moscow). It is a summary of the articles arXiv:1412.6037, arXiv:1501.07566, arXiv:1502.01966 and arXiv:1503.00546. Here are mentioned only references used for our calculations. A detailed list of references can be found in our articles mentionned here.

DOI
10.1134/s1547477117020285

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This short note presents works done in collaboration with S. Pakuliak (JINR, Dubna) and N. Slavnov (Steklov Math. Inst., Moscow). It is a summary of the articles arXiv:1412.6037, arXiv:1501.07566, arXiv:1502.01966 and arXiv:1503.00546. Here are mentioned only references used for our calculations. A detailed list of references can be found in our articles mentionned here.
We study unconstrained control of a two-level quantum system and analyse critical points of the objective functional which represents quantum average of system observable at some final time TTT. In Proc. Steklov Inst. Math. 285, 233-240 (2014) it was shown that all maxima and minima of the objective functional are global if T≥πT\ge πT≥π (in suitable units). In the present work we show that all maxima and minima are global as soon as T≥π/2T\ge π/2T≥π/2. Hence we reduce by the factor of two the minimal time for which traps, i.e., local but not global maxima or minima of the objective functional, do not exist.