Tunneling-induced Talbot effect
Abstract We investigate the reforming of a plane wave into a periodic waveform in its propagation through a structural asymmetry four-level quantum dot molecule (QDM) system that is induced by an inter-dot tunneling process and present the resulting tunneling-induced Talbot effect. The tunneling pro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-03-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-86289-w |
| _version_ | 1818845553770889216 |
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| author | Babak Azizi Zahra Amini Sabegh Mohammad Mahmoudi Saifollah Rasouli |
| author_facet | Babak Azizi Zahra Amini Sabegh Mohammad Mahmoudi Saifollah Rasouli |
| author_sort | Babak Azizi |
| collection | DOAJ |
| description | Abstract We investigate the reforming of a plane wave into a periodic waveform in its propagation through a structural asymmetry four-level quantum dot molecule (QDM) system that is induced by an inter-dot tunneling process and present the resulting tunneling-induced Talbot effect. The tunneling process between two neighborhood dots is provided with the aid of a gate voltage. Using a periodic coupling field the response of the medium to the propagating plane probe beam becomes periodic. The needed periodic coupling field is generated with the interference of two coherent plane waves having a small angle and propagating almost parallel to the probe beam direction. In the presence of the tunneling effect of an electron between two adjacent QDs, for the probe beam propagating through the QDM system, the medium becomes transparent where the coupling fields interfere constructively. As a result, the spatial periodicity of the coupling field modulates the passing plane probe beam. We determine the minimum length of the QDM system to generate a periodic intensity profile with a visibility value equal to 1 for the probe field at the exit plane of the medium. It is also shown that by increasing the propagation length of the probe beam through the QDM medium, the profile of the maximum intensity areas becomes sharper. This feature is quantified by considering a sharpness factor for the intensity profile of the probe beam at the transverse plane. Finally, we investigate free space propagation of the induced periodic field and present the Talbot images of the tunneling-induced periodic patterns at different propagation distances for different values of the QDM medium lengths. The presented dynamically designing method of the periodic coherent intensity patterns might find applications in science and technology. For instance, in optical lithography, the need to use micro/nanofabricated physical transmission diffraction gratings, in which preparation of them is expensive and time-consuming, can be eliminated. |
| first_indexed | 2024-12-19T05:31:30Z |
| format | Article |
| id | doaj.art-ff9eb893eacc4833a4acfa24cebd85b6 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-19T05:31:30Z |
| publishDate | 2021-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-ff9eb893eacc4833a4acfa24cebd85b62022-12-21T20:34:14ZengNature PortfolioScientific Reports2045-23222021-03-0111111410.1038/s41598-021-86289-wTunneling-induced Talbot effectBabak Azizi0Zahra Amini Sabegh1Mohammad Mahmoudi2Saifollah Rasouli3Department of Physics, University of ZanjanDepartment of Physics, University of ZanjanDepartment of Physics, University of ZanjanDepartment of Physics, Institute for Advanced Studies in Basic Sciences (IASBS)Abstract We investigate the reforming of a plane wave into a periodic waveform in its propagation through a structural asymmetry four-level quantum dot molecule (QDM) system that is induced by an inter-dot tunneling process and present the resulting tunneling-induced Talbot effect. The tunneling process between two neighborhood dots is provided with the aid of a gate voltage. Using a periodic coupling field the response of the medium to the propagating plane probe beam becomes periodic. The needed periodic coupling field is generated with the interference of two coherent plane waves having a small angle and propagating almost parallel to the probe beam direction. In the presence of the tunneling effect of an electron between two adjacent QDs, for the probe beam propagating through the QDM system, the medium becomes transparent where the coupling fields interfere constructively. As a result, the spatial periodicity of the coupling field modulates the passing plane probe beam. We determine the minimum length of the QDM system to generate a periodic intensity profile with a visibility value equal to 1 for the probe field at the exit plane of the medium. It is also shown that by increasing the propagation length of the probe beam through the QDM medium, the profile of the maximum intensity areas becomes sharper. This feature is quantified by considering a sharpness factor for the intensity profile of the probe beam at the transverse plane. Finally, we investigate free space propagation of the induced periodic field and present the Talbot images of the tunneling-induced periodic patterns at different propagation distances for different values of the QDM medium lengths. The presented dynamically designing method of the periodic coherent intensity patterns might find applications in science and technology. For instance, in optical lithography, the need to use micro/nanofabricated physical transmission diffraction gratings, in which preparation of them is expensive and time-consuming, can be eliminated.https://doi.org/10.1038/s41598-021-86289-w |
| spellingShingle | Babak Azizi Zahra Amini Sabegh Mohammad Mahmoudi Saifollah Rasouli Tunneling-induced Talbot effect Scientific Reports |
| title | Tunneling-induced Talbot effect |
| title_full | Tunneling-induced Talbot effect |
| title_fullStr | Tunneling-induced Talbot effect |
| title_full_unstemmed | Tunneling-induced Talbot effect |
| title_short | Tunneling-induced Talbot effect |
| title_sort | tunneling induced talbot effect |
| url | https://doi.org/10.1038/s41598-021-86289-w |
| work_keys_str_mv | AT babakazizi tunnelinginducedtalboteffect AT zahraaminisabegh tunnelinginducedtalboteffect AT mohammadmahmoudi tunnelinginducedtalboteffect AT saifollahrasouli tunnelinginducedtalboteffect |