Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing
We theoretically investigate a two-level atom driven by a time-dependent external field with a generalized double exponential temporal shape, in the presence of dephasing. Therefore, we provide exact analytical solutions for the population inversion, the real and the imaginary parts of the coherence...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/12/2105 |
| _version_ | 1827658750103650304 |
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| author | Sofiane Grira Nadia Boutabba Hichem Eleuch |
| author_facet | Sofiane Grira Nadia Boutabba Hichem Eleuch |
| author_sort | Sofiane Grira |
| collection | DOAJ |
| description | We theoretically investigate a two-level atom driven by a time-dependent external field with a generalized double exponential temporal shape, in the presence of dephasing. Therefore, we provide exact analytical solutions for the population inversion, the real and the imaginary parts of the coherence for a family of chirped and time-dependent laser waveforms. We demonstrate that the remaining atomic population inversion can be controlled by the manipulation of the pulse’s shape structure. |
| first_indexed | 2024-03-09T23:08:01Z |
| format | Article |
| id | doaj.art-951a86b7e76e4f0eafed6be1ef34ae61 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:08:01Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-951a86b7e76e4f0eafed6be1ef34ae612023-11-23T17:49:47ZengMDPI AGMathematics2227-73902022-06-011012210510.3390/math10122105Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with DephasingSofiane Grira0Nadia Boutabba1Hichem Eleuch2Department of Applied Sciences and Mathematics, Abu Dhabi University, Abu Dhabi 59911, United Arab EmiratesInstitute of Applied Technology, Fatima College of Health Sciences, Abu Dhabi 24162, United Arab EmiratesDepartment of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab EmiratesWe theoretically investigate a two-level atom driven by a time-dependent external field with a generalized double exponential temporal shape, in the presence of dephasing. Therefore, we provide exact analytical solutions for the population inversion, the real and the imaginary parts of the coherence for a family of chirped and time-dependent laser waveforms. We demonstrate that the remaining atomic population inversion can be controlled by the manipulation of the pulse’s shape structure.https://www.mdpi.com/2227-7390/10/12/2105atomic population controltwo-level atomexact solutions |
| spellingShingle | Sofiane Grira Nadia Boutabba Hichem Eleuch Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing Mathematics atomic population control two-level atom exact solutions |
| title | Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing |
| title_full | Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing |
| title_fullStr | Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing |
| title_full_unstemmed | Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing |
| title_short | Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing |
| title_sort | exact solutions of the bloch equations of a two level atom driven by the generalized double exponential quotient pulses with dephasing |
| topic | atomic population control two-level atom exact solutions |
| url | https://www.mdpi.com/2227-7390/10/12/2105 |
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