International Journal of Theoretical Physics https://doi.org/10.1007/s10773-019-04068-w Dynamics of Skew-Information and Bell’s Inequality Correlations for Two Coupled Dipole Qubits with 2-Photon Transition A.-B. A. Mohamed 1,2 · H. Eleuch 3,4 Received: 18 September 2018 / Accepted: 23 January 2019 / © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract We consider a dissipative system of two qubits interacting with a cavity field through the degenerate 2-photon transitions. The cavity is initially prepared in a superposition of coherent states. The non-classical correlations (NCCs) are investigated. Their robustness is analyzed by using the Skew information and the Bell’s non-locality. We show that the system presents stationary correlations and sudden birth entanglement. These phenomena depend crucially on the superposition of the coherent states, the dissipation rate and the dipole-dipole interaction parameters. Keywords Two-qubit · Coherent harmonic · Intrinsic noise · Skew-information correlation 1 Introduction Non-classical correlations (NCC) play a basic role in quantum computation, communi- cation and quantum information processing [1]. Therefore, the systems containing two two-level atoms (two qubits), in which NCC can be created, are particularly interesting schemes which contribute to the building blocks of the quantum gates. The entangled states of these two-qubit systems have been experimentally demonstrated [2]. One of the widely known models which were used to study the NCC dynamics in two-qubit systems, is the Tavis-Cummings (TC) model [3, 4]. This model describes the interaction between a col- lection of identical qubits and a cavity field. There are various experimental realizations of the TC-model for atom-photon [5, 6] and quantum dot-resonator [7]. Its physical realiza- tions range from superconducting qubits [9, 10] to quantum wells [11, 12]. The qubit-field model has various generalizations dealing with more general and/or realistic circumstances.  A.-B. A. Mohamed abdelbastm@yahoo.com 1 College of Science, Prince Sattam Bin Abdulaziz University, Al-Aaj, Saudi Arabia 2 Faculty of Science, Assiut University, Assiut, Egypt 3 Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA 4 Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, UAE