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Journal of Experimental and Theoretical Physics

Dynamics of Time Evolution of Quantum Oscillator Excitation by Electromagnetic Pulses

Valery Alexandrovich Astapenko, FRANK B. ROSMEJ, Evgeniya V. Sakhno

Published Aug 1, 2021• 5 citations
Publisher

Abstract

Abstract The dynamics of time evolution of quantum oscillator excitation by electromagnetic pulses is investigated theoretically for an arbitrary field amplitude in a pulse. We consider a harmonic oscillator without damping and excitation between stationary states. The general formula for the excitation of quantum states as a function of time is derived in terms of instantaneous energy of an associated classical oscillator in the field of an electromagnetic pulse. The derived expression is used in detailed analysis of the time dependence of the quantum oscillator excitation probability beyond the range of perturbation theory for various pulse parameters including total excitation from the ground state, excitation from excited states, and excitation spectra.

DOI
10.1134/s1063776121070013

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Abstract This work is dedicated to the generalization of the spectroscopic correspondence principle to the time dependence of the evolution of a dipole-allowed quantum transition in a two-level system (TLS) under the action of an electromagnetic pulse (EMP). The formulas for the time dependence of the absorbed EMP energy for excitation of a classical oscillator and an oscillator of a transition in a TLS are derived within the framework of the first order of perturbation theory. It is shown that in the case of zero width of a transition line (or in case of zero damping constant γ for a classical oscillator) classical and quantum approaches give the same results for arbitrary EMP parameters (duration and carrier frequency). A noticeable distinction between the time dependences of the absorbed energy for a classical oscillator and a quantum TLS with a Lorentz spectral profile is observed for sufficiently long pulses.
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We present a theoretical study of the excitation of a charged quantum linear oscillator by chirped laser pulse with the use of probability of the process throughout the pulse action. We focus on the case of the excitation of the oscillator from the ground state without relaxation. Calculations were made for an arbitrary value of the electric field strength by utilizing the exact expression for the excitation probability. The dependence of the excitation probability on the pulse parameters was analyzed both numerically and by using analytical formulas.