Informational analysis of the confinement of an electron in an asymmetric double quantum dot
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912169767993344 |
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| author | Nascimento, W. S. Maniero, A. M. Prudente, F. V. de Carvalho, C. R. Jalbert, Ginette |
| author_facet | Nascimento, W. S. Maniero, A. M. Prudente, F. V. de Carvalho, C. R. Jalbert, Ginette |
| contents | A quasi-unidimensional one-electron double quantum dot is studied within the framework of Shannon informational entropy. Its confinement potential, which is described by an asymmetric harmonic-gaussian function, consists of two wells separated by a potential barrier, and the asymmetry of the potential in respect to the center of the barrier is parameterized by $x_0$. In this work we employ Shannon informational entropy as a tool to investigate changes in the electronic confinement resulting from the modifications in the degree of asymmetry $x_0$. In particular, we notice that Shannon entropy turns out to be very sensitive to the change from the symmetric to the antisymmetric regime. Moreover, we show that Shannon entropy as a function of $x_0$ for an electronic excited state displays an irregular behavior whenever the state energy is in the vicinity of a local extreme (a maximum or a minimum); connected with this we observe an oscillatory behavior of the energy of the excited states as a function of $x_0$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_22538 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Informational analysis of the confinement of an electron in an asymmetric double quantum dot Nascimento, W. S. Maniero, A. M. Prudente, F. V. de Carvalho, C. R. Jalbert, Ginette Atomic Physics Quantum Physics A quasi-unidimensional one-electron double quantum dot is studied within the framework of Shannon informational entropy. Its confinement potential, which is described by an asymmetric harmonic-gaussian function, consists of two wells separated by a potential barrier, and the asymmetry of the potential in respect to the center of the barrier is parameterized by $x_0$. In this work we employ Shannon informational entropy as a tool to investigate changes in the electronic confinement resulting from the modifications in the degree of asymmetry $x_0$. In particular, we notice that Shannon entropy turns out to be very sensitive to the change from the symmetric to the antisymmetric regime. Moreover, we show that Shannon entropy as a function of $x_0$ for an electronic excited state displays an irregular behavior whenever the state energy is in the vicinity of a local extreme (a maximum or a minimum); connected with this we observe an oscillatory behavior of the energy of the excited states as a function of $x_0$. |
| title | Informational analysis of the confinement of an electron in an asymmetric double quantum dot |
| topic | Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2410.22538 |