{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:59:19Z","timestamp":1760234359427,"version":"build-2065373602"},"reference-count":65,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T00:00:00Z","timestamp":1620086400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We explore a superconducting charge qubit interacting with a dissipative microwave cavity field. Wigner distribution and its non-classicality are investigated analytically under the effects of the qubit\u2013cavity interaction, the qubit\u2013cavity detuning, and the dissipation. As the microwave cavity field is initially in an even coherent state, we investigate the non-classicality of the Wigner distributions. Partially and maximally frozen entanglement are produced by the qubit\u2013cavity interaction, depending on detuning and cavity dissipation. It is found that the amplitudes and frequency of the Wigner distribution can be controlled by the phase space parameters, the qubit\u2013cavity interaction and the detuning, as well as by the dissipation. The cavity dissipation reduces the non-classicality; this process can be accelerated by the detuning.<\/jats:p>","DOI":"10.3390\/sym13050802","type":"journal-article","created":{"date-parts":[[2021,5,5]],"date-time":"2021-05-05T22:51:42Z","timestamp":1620255102000},"page":"802","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Wigner Function Non-Classicality Induced in a Charge Qubit Interacting with a Dissipative Field Cavity"],"prefix":"10.3390","volume":"13","author":[{"given":"Abdel-Baset A.","family":"Mohamed","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj 11942, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0189-845X","authenticated-orcid":false,"given":"Eied M.","family":"Khalil","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7497-8579","authenticated-orcid":false,"given":"Afrah Y.","family":"AL-Rezami","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj 11942, Saudi Arabia"},{"name":"Department of Statistics and Information, College of Commerce and Economics, Sana\u2019a University, Sana\u2019a 15542, Yemen"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hichem","family":"Eleuch","sequence":"additional","affiliation":[{"name":"Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates"},{"name":"Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates"},{"name":"Institute for Quantum Science and Engineering, Texas A&amp;M University, College Station, TX 77843, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,4]]},"reference":[{"key":"ref_1","unstructured":"Roman, S., Kossakowski, A., and Ohya, M. 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