Publication Details:
Journal or Publication Title:
Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
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Corporate Creators:
Institute for Physical Research of NAS RA ; Laboratoire Interdisciplinaire Carnot de Bourgogne, Université de Bourgogne Franche-Comté, 9 Av. Alain Savary, 21078 Dijon, France
Subject:
Physics ; Atomic and molecular physics
Uncontrolled Keywords:
Quantum two-state problem ; laser excitation ; irreversible losses ; analytic solutions ; bi-confluent Heun equation ; Hermite function
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Abstract:
We present a conditionally integrable level-crossing model for the quantum time-dependent two-state problem involving irreversible losses from the second level. The model 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 model includes irreversible losses from the second level, while the spontaneous relaxation to the first level is neglected. We derive the exact solution of the two-level problem for this and discuss the dynamics of levels' populations under different regimes of the interaction.