{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T17:11:55Z","timestamp":1770916315616,"version":"3.50.1"},"reference-count":48,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,15]],"date-time":"2023-03-15T00:00:00Z","timestamp":1678838400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University","award":["PNURSP2023R225"],"award-info":[{"award-number":["PNURSP2023R225"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We examine the temporal comportment of formation entanglement and quantum coherence in a quantum system made up of two superconducting charge qubits (SC-Qs), in the case of two different classes of nonlinear field. The results discussed the impact role of time-dependent coupling (T-DC) and dipole-dipole interaction (D-DI) on the temporal comportment of quantum coherence and entanglement in the ordinary and nonlinear field. In addition, we show that the main parameters of the quantum model affect the entanglement of formation and the coherence of the system in a similar way.<\/jats:p>","DOI":"10.3390\/sym15030732","type":"journal-article","created":{"date-parts":[[2023,3,15]],"date-time":"2023-03-15T06:36:36Z","timestamp":1678862196000},"page":"732","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Effects of Dipole-Dipole Interaction and Time-Dependent Coupling on the Evolution of Entanglement and Quantum Coherence for Superconducting Qubits in a Nonlinear Field System"],"prefix":"10.3390","volume":"15","author":[{"given":"Kamal","family":"Berrada","sequence":"first","affiliation":[{"name":"Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, Riyadh 11432, Saudi Arabia"},{"name":"The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy"}]},{"given":"Mariam","family":"Algarni","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1552-3763","authenticated-orcid":false,"given":"Marin","family":"Marin","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1822-2456","authenticated-orcid":false,"given":"Sayed","family":"Abdel-Khalek","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"227702","DOI":"10.1103\/PhysRevLett.120.227702","article-title":"Realizing a circuit analog of an optomechanical system with longitudinally coupled superconducting resonators","volume":"120","author":"Eichler","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"150503","DOI":"10.1103\/PhysRevLett.120.150503","article-title":"emonstration of protection of a superconducting qubit from energy decay","volume":"120","author":"Lin","year":"2018","journal-title":"Phys. Rev. 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