Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon coupling
The Wigner quasi-probability distribution function is an important tool for estimating the quantumness of quantum states. The Wigner distribution function (WDF) is related monotonically to the coherent field state density operator and their probability distributions. In this paper, we analyze the ti...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723009488 |
| _version_ | 1797430034076532736 |
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| author | Laila A. Al-essa Wafa F. Alfwzan F.M. Aldosari A.-B.A. Mohamed H. Eleuch |
| author_facet | Laila A. Al-essa Wafa F. Alfwzan F.M. Aldosari A.-B.A. Mohamed H. Eleuch |
| author_sort | Laila A. Al-essa |
| collection | DOAJ |
| description | The Wigner quasi-probability distribution function is an important tool for estimating the quantumness of quantum states. The Wigner distribution function (WDF) is related monotonically to the coherent field state density operator and their probability distributions. In this paper, we analyze the time-dependent resonator coherent field states produced by a flux qubit’s interaction with a resonator-field through a two-photon coupling. The WDF dynamics of the coherent field states is investigated under the effects of the qubit-resonator detuning and the intrinsic decoherence. The WDF non-classicality associated with the mixedness resonator entropy dynamics can be controlled by varying the qubit-resonator interaction, detuning as well as the decoherence. The intrinsic decoherence clearly affects the WDF non-classicality, identified by the negative values of the WDF. Finally, by fixing one or both of the complex phase space components, we are able to explore the dynamics of the Wigner-distribution functions. |
| first_indexed | 2024-03-09T09:21:50Z |
| format | Article |
| id | doaj.art-16fecd329292410e9c95e1d63e780e0a |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-09T09:21:50Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-16fecd329292410e9c95e1d63e780e0a2023-12-02T06:59:33ZengElsevierResults in Physics2211-37972023-12-0155107155Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon couplingLaila A. Al-essa0Wafa F. Alfwzan1F.M. Aldosari2A.-B.A. Mohamed3H. Eleuch4Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Saudi Arabia; Corresponding author.Department of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab Emirates; College of Arts and Sciences, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates; Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USAThe Wigner quasi-probability distribution function is an important tool for estimating the quantumness of quantum states. The Wigner distribution function (WDF) is related monotonically to the coherent field state density operator and their probability distributions. In this paper, we analyze the time-dependent resonator coherent field states produced by a flux qubit’s interaction with a resonator-field through a two-photon coupling. The WDF dynamics of the coherent field states is investigated under the effects of the qubit-resonator detuning and the intrinsic decoherence. The WDF non-classicality associated with the mixedness resonator entropy dynamics can be controlled by varying the qubit-resonator interaction, detuning as well as the decoherence. The intrinsic decoherence clearly affects the WDF non-classicality, identified by the negative values of the WDF. Finally, by fixing one or both of the complex phase space components, we are able to explore the dynamics of the Wigner-distribution functions.http://www.sciencedirect.com/science/article/pii/S2211379723009488Wigner-distributionFlux-qubitResonator coherent field |
| spellingShingle | Laila A. Al-essa Wafa F. Alfwzan F.M. Aldosari A.-B.A. Mohamed H. Eleuch Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon coupling Results in Physics Wigner-distribution Flux-qubit Resonator coherent field |
| title | Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon coupling |
| title_full | Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon coupling |
| title_fullStr | Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon coupling |
| title_full_unstemmed | Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon coupling |
| title_short | Wigner quasi-probability distribution of a resonator coherent field interacting with a flux qubit via two-photon coupling |
| title_sort | wigner quasi probability distribution of a resonator coherent field interacting with a flux qubit via two photon coupling |
| topic | Wigner-distribution Flux-qubit Resonator coherent field |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723009488 |
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