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Kvantovaya Elektronika, 2018, Volume 48, Number 1, Pages 49–56 (Mi qe16748)  

This article is cited in 3 scientific papers (total in 3 papers)

Interaction of laser radiation with matter

Energy spectrum of ideal quantum dots controlled by an external electric field

A. M. Mandela, V. B. Oshurkoab

a Moscow State Technological University "Stankin"
b National Engineering Physics Institute "MEPhI", Moscow

Abstract: We have constructed a theoretical model describing the energy spectrum and autoionisation probability for an ideal quantum dot in the external DC and AC electric fields, free of using the delta-potential approximation and perturbation theory. The wave functions of the electron quasi-stationary states under these conditions are calculated. To this end, we have elaborated a new method for regularising the Gamov wave function used to calculate the complex electron energy, describing both the energy spectrum of the system and the probability of the state decay (autoionisation). The oscillations of the Stark shift and the energy level width due to the DC electric field are found. It is shown that these oscillations essentially affect the energy spectrum of the quantum dot and principally cannot be described within the frameworks of perturbative approaches.

Keywords: ideal quantum dots, external electric field, regularisation of Gamov wave function, oscillations of Stark shift and energy level width.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 3.6634.2017/6.7
Russian Foundation for Basic Research 16-07-00289


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English version:
Quantum Electronics, 2018, 48:1, 49–56

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Received: 13.07.2017
Revised: 01.11.2017

Citation: A. M. Mandel, V. B. Oshurko, “Energy spectrum of ideal quantum dots controlled by an external electric field”, Kvantovaya Elektronika, 48:1 (2018), 49–56 [Quantum Electron., 48:1 (2018), 49–56]

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  • http://mi.mathnet.ru/eng/qe/v48/i1/p49

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Mandel A.M., Oshurko V.B., Veselko S.G., Solomakho K.G., Pershin S.M., Sharts A.A., Bull. Lebedev Phys. Inst., 45:9 (2018), 282–286  crossref  isi  scopus
    2. Chakraborty A., Chatterjee Ch., Roy T., Santra S., Deyasi A., 2018 2Nd International Conference on Electronics, Materials Engineering & Nano-Technology (Iementech), eds. Chakrabarti S., Taki G., Chakrabarty R., Sarkar M., IEEE, 2018, 500–503  isi
    3. Quantum Electron., 49:5 (2019), 505–511  mathnet  crossref  isi  elib
  • Квантовая электроника Quantum Electronics
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