Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes
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 thr...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/8/1227 |
| _version_ | 1797434429539352576 |
|---|---|
| author | Valery Astapenko |
| author_facet | Valery Astapenko |
| author_sort | Valery Astapenko |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T10:32:06Z |
| format | Article |
| id | doaj.art-7e1e635ad3c64db29f4172958fd8eef2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T10:32:06Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7e1e635ad3c64db29f4172958fd8eef22023-12-01T21:11:57ZengMDPI AGMathematics2227-73902022-04-01108122710.3390/math10081227Peculiar Features of Quantum Oscillator Excitation by Pulses with Different EnvelopesValery Astapenko0Moscow Institute of Physics and Technology, National Research University, Institutskii Per. 9, Dolgoprudnyi 141701, RussiaWe 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.https://www.mdpi.com/2227-7390/10/8/1227quantum harmonic oscillatorexcitation probabilityexponential pulsedouble exponential pulserectangular pulse |
| spellingShingle | Valery Astapenko Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes Mathematics quantum harmonic oscillator excitation probability exponential pulse double exponential pulse rectangular pulse |
| title | Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes |
| title_full | Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes |
| title_fullStr | Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes |
| title_full_unstemmed | Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes |
| title_short | Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes |
| title_sort | peculiar features of quantum oscillator excitation by pulses with different envelopes |
| topic | quantum harmonic oscillator excitation probability exponential pulse double exponential pulse rectangular pulse |
| url | https://www.mdpi.com/2227-7390/10/8/1227 |
| work_keys_str_mv | AT valeryastapenko peculiarfeaturesofquantumoscillatorexcitationbypulseswithdifferentenvelopes |