83 citations · 141 across the 12 of their papers we have counts for
11 papers
Coherent excitation of a two-state system by a Lorentzian field
Aida Shiroyan, Genko S. Vasilev, Nikolay V. Vitanov
We study the coherent excitation of a two-state quantum system by a field with a Lorentzian temporal envelope and constant carrier frequency. The associated differential equation a…
Morris-Shore transformation for non-degenerate systems
K. N. Zlatanov, G. S. Vasilev, N. V. Vitanov
The Morris-Shore (MS) transformation is a powerful tool for decomposition of the dynamics of multistate quantum systems to a set of two-state systems and uncoupled single states. I…
A Semi-Analytic Approach To Valuing Auto-Callable Accrual Notes
V. G. Filev, P. Neykov, G. S. Vasilev
We develop a semi-analytic approach to the valuation of auto-callable structures with accrual features subject to barrier conditions. Our approach is based on recent studies of mul…
Time-dependent Heston model
G. S. Vasilev
This work presents an exact solution to the generalized Heston model, where the model parameters are assumed to have linear time dependence The solution for the model in expressed…
Morris-Shore transformation with unequal detunings
G. S. Vasilev, N. V. Vitanov
The aim of this paper is to analyze the MS transformation in the case of weak deviation of the condition for equal detunings, which in necessary for factorization towards set of tw…
Superadiabatic optimization via Dykhne-Davis-Pechukas (DDP) method
G. S. Vasilev, N. V. Vitanov
This paper we propose how to apply the Dykhne-Davis-Pechukas (DDP) method for optimization of adiabatic passage in a two-state system in the second adiabtic basis.