Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes

Valery Astapenko
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Valery Astapenko: Moscow Institute of Physics and Technology, National Research University, Institutskii Per. 9, Dolgoprudnyi 141701, Russia

Mathematics, 2022, vol. 10, issue 8, 1-9

Abstract: We investigate the excitation of a quantum harmonic oscillator by pulses with different envelopes in terms of the excitation probability during the action of a pulse. The majority of attention is given to the dependence of the probability on the pulse duration and the pulse carrier frequency for three envelopes: exponential, double exponential, and rectangular. The choice of these envelopes makes it possible to cover various features of the excitation of a quantum oscillator by an external pulse. In particular, the presence of weak and strong excitation modes is established, for each of which the dependences of the process probability on pulse parameters are studied.

Keywords: quantum harmonic oscillator; excitation probability; exponential pulse; double exponential pulse; rectangular pulse (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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