Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես

Date of publication:

2018

Volume:

11

Number:

2

ISSN:

1829-1171

Official URL:

Corporate Creators:

Russian-Armenian (Slavonic) University, Yerevan, Armenia ; Institute for Physical Research of NAS RA

Coverage:

73-83

Abstract:

We present two dissipative level-crossing models of quantum time-dependent two-state problem. These are conditionally integrable models belonging to the single confluent Heun class. Each of the models is given by an exponentially varying Rabi frequency and a level-crossing detuning that starts from the exact resonance and exponentially diverges at the infinity. The models include irreversible losses from the excited state (without relaxation to the ground state). We show that the solution of the problem is written in terms of irreducible linear combinations of two Kummer confluent hypergeometric functions. Using this exact solution, we discuss the dynamics of states' populations under different interaction regimes.

Date created:

2018-07-14

Format:

pdf

Identifier:

oai:arar.sci.am:23505

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան