Bipartite non-classical correlations for a lossy two connected qubit–cavity systems: trace distance discord and Bell’s non-locality

Abdel‐Aty

Qasymeh

et al. 2022

Sci Rep

Self Cite

We explore the non-local correlation dynamics in a Graphene sheet of disordered electrons in a two-dimensional honeycomb lattice, containing two sublattices, induced by the interaction range of impurity potentials of two Dirac points. The Bell function, uncertainty-induced non-locality, and concurrence are used to investigate the formation and robustness of the non-local correlation between the honeycomb lattice and the Dirac point. The generated lattice-point non-local correlations are explored when the lattice-point system is initially in the uncorrelated state. Due to the lattice-point interaction, the resulting Bell-function non-locality and entanglement concurrence satisfy the hierarchy principle. The generated uncertainty-induced non-locality correlation has a higher degree of stability and robustness than the Bell non-locality and concurrence. We analyze the robustness of the initial maximal non-local correlations under the effects of the band parameter, the intravalley scattering processes, the wave numbers, and the intrinsic decoherence. The formation and stability of lattice-point correlations are highly dependent on the honeycomb lattice and Dirac point characteristics.

Section: Non-locality Dynamicsmentioning

confidence: 99%

Non-local correlation dynamics in two-dimensional graphene

Abdel‐Aty

Qasymeh

et al. 2022

Sci Rep

Self Cite

“…This means that the transitions of the Bures distance entanglement are intimately related to sudden death and sudden birth of entanglement. The distribution of the entanglement, including sudden death and sudden birth phenomena of the entanglement, has been theoretically [ 63 , 64 , 65 ] and experimentally reported [ 66 , 67 ].…”

Section: Nonclassical Correlation Dynamicsmentioning

confidence: 99%

Two-Qubit Local Fisher Information Correlation beyond Entanglement in a Nonlinear Generalized Cavity with an Intrinsic Decoherence

Khalil

Yassen

et al. 2021

Entropy

In this paper, we study a Hamiltonian system constituted by two coupled two-level atoms (qubits) interacting with a nonlinear generalized cavity field. The nonclassical two-qubit correlation dynamics are investigated using Bures distance entanglement and local quantum Fisher information under the influences of intrinsic decoherence and qubit–qubit interaction. The effects of the superposition of two identical generalized coherent states and the initial coherent field intensity on the generated two-qubit correlations are investigated. Entanglement of sudden death and sudden birth of the Bures distance entanglement as well as the sudden changes in local Fisher information are observed. We show that the robustness, against decoherence, of the generated two-qubit correlations can be controlled by qubit–qubit coupling and the initial coherent cavity states.

“…The vanishing of the qubit-cavity entanglement, due to the phase decoherence, can be delayed. For the Kerr-like nonlinearity

, the green dashed plot shows that the phenomena of the sudden death and birth in the entanglement dynamics occur around

[ 53 , 54 , 55 , 56 ]. Figure 2 shows the effect of the initial cavity non-classicality by considering that the cavity is initially in the even superposition squeezed coherent state

with the same the parameter values of Figure 1 .…”

Section: Qubit-cavity Entanglement Dynamicsmentioning

confidence: 99%

Entanglement Dynamics Induced by a Squeezed Coherent Cavity Coupled Nonlinearly with a Qubit and Filled with a Kerr-Like Medium

Eleuch

2021

Entropy

Self Cite

An analytical solution for a master equation describing the dynamics of a qubit interacting with a nonlinear Kerr-like cavity through intensity-dependent coupling is established. A superposition of squeezed coherent states is propped as the initial cavity field. The dynamics of the entangled qubit-cavity states are explored by negativity for different deformed function of the intensity-dependent coupling. We have examined the effects of the Kerr-like nonlinearity and the qubit-cavity detuning as well as the phase cavity damping on the generated entanglement. The intensity-dependent coupling increases the sensitivity of the generated entanglement to the phase-damping. The stability and the strength of the entanglement are controlled by the Kerr-like nonlinearity, the qubit-cavity detuning, and the initial cavity non-classicality. These physical parameters enhance the robustness of the qubit-cavity entanglement against the cavity phase-damping. The high initial cavity non-classicality enhances the robustness of the qubit-cavity entanglement against the phase-damping effect.