Abstract
This study analytically explored two coupled two-level atomic systems (TLAS) as two qubits interacting with two modes of an electromagnetic field (EMF) cavity via two-photon transitions in the presence of dipole–dipole interactions between the atoms and intrinsic damping. Using special unitary su(1,1) Lie algebra, the general solution of an intrinsic noise model is obtained when an EMF is initially in a generalized coherent state. We investigated the population inversion of two TLAS and the generated quantum coherence of some partitions (including the EMF, two TLAS, and TLAS–EMF). It is possible to generate quantum coherence (mixedness and entanglement) from the initial pure state. The robustness of the quantum coherence produced and the sudden appearance and disappearance of coherence depended not only on dipole–dipole coupling but also on the intrinsic noise rate. The growth of mixedness and entanglement may be enhanced by increasing dipole–dipole coupling, leading to more robustness against intrinsic noise.
Highlights
Quantum entanglement (QE) is one of the main features of quantum information compared with classical information [1,2,3,4,5,6,7,8]
The coupled two-level atomic system (TLAS) interacting with two nondegenerate modes of an electromagnetic field represented by su(1,1) Lie algebra were investigated
We investigated the effects of the dissipation and dipole–dipole rates on some quantum effects, namely, the atomic population inversion, quantum coherence, mixedness, and entanglement of the entire electromagnetic field (EMF) and TLAS states
Summary
Quantum entanglement (QE) is one of the main features of quantum information compared with classical information [1,2,3,4,5,6,7,8]. The Jaynes–Cummings model (JCM) was introduced [30] to describe a two-level atomic system (TLAS) coupled to a single-mode radiation field. The Kerr medium effects on the dynamics of nonlocal correlations between the two atoms that interact with a single mode field have been studied [33]. Two TLAS interacting with a single mode vacuum field in the presence of atom–field and atom–atom entanglements were investigated using quantum relative entropy [22]. This work introduces a physical model wherein the su(1, 1)-system is initially assumed to have a generalized coherent state, and an analytical description is used to investigate the entire system’s quantum coherence and its different partitions.
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