Entangled Two Two-Level Atom in the Presence of External Classical Fields

Khalil, E. M.; Abedel-Khalek, S.

doi:10.1007/s10773-018-3782-7

Cited by 7 publications

(2 citation statements)

References 32 publications

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“…The uncertainty principle, which was first introduced by Heisenberg, shows the limits of the error in the conventional measurements of non-commutating operators for measuring quantum states [19][20][21][22][23]. In general, the uncertainty principle for any two Hermitian operators Â and B yields the relationship ½ Â; B ¼ i Ĉ.…”

Section: Entropy and Variance Squeezingmentioning

confidence: 99%

Entanglement and Entropy Squeezing for Moving Two Two-Level Atoms Interaction with a Radiation Field

Abdel‐Khalek¹,

Khalil²,

Alsubei³

et al. 2021

Computers, Materials &Amp; Continua

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In this paper, we analyzed squeezing in the information entropy, quantum state fidelity, and qubit-qubit entanglement in a time-dependent system. The proposed model consists of two qubits that interact with a two-mode electromagnetic field under the dissipation effect. An analytical solution is calculated by considering the constants for the equations of motion. The effect of the general form of the time-dependent for qubit-field coupling and the dissipation term on the temporal behavior of the qubit-qubit entanglement, quantum state fidelity, entropy, and variance squeezing are examined. It is shown that the intervals of entanglement caused more squeezing for the case of considering the time-dependent parameters. Additionally, the entanglement between the qubits became more substantial for the case of time dependence. Fidelity and negativity rapidly reached the minimum values by increasing the effect of the dissipation parameter. Moreover, the amount of variance squeezing and the amplitude of the oscillations decreased considerably when the time dependence increased, but the fluctuations increased substantially. We show the relation between entropy and variance squeezing in the presence and absence of the dissipation parameter during the interaction period. This result enables new parameters to control the degree of entanglement and squeezing, especially in quantum communication.

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Section: Entropy and Variance Squeezingmentioning

confidence: 99%

Entanglement and Entropy Squeezing for Moving Two Two-Level Atoms Interaction with a Radiation Field

Abdel‐Khalek¹,

Khalil²,

Alsubei³

et al. 2021

Computers, Materials &Amp; Continua

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“…Additionally, they extensively explored how entanglement between atoms and fields can be maintained. With particular attention to multi-photon transitions, Stark shift effects, multi-mode fields, intensity-dependent coupling strengths, Kerr-medium and other related phenomena (Zidan et al, 2002;Abdalla et al, 2005;Adel-Aty et al, 2002;Metwally et al, 2005;Abdel-Aty, 2002;Abdel-Wahab & Mourad, 2011;Hu et al, 2008;Baghshahi et al, 2014;Abdel-Khalek et al, 2018;Khalil & Abdel-Skalek, 2018;Adel-Khalek et al, 2011;Zidan et al, 2012;Zidan, 2012Zidan, , 2010Adel-Aty & Zidan, 2003;Akremi, 2019). Quantum discord is a measure of nonclassical correlation introduced independently by Henderson and Vedral (2001) and Ollivier and Zurek (2001).…”

Section: Introductionmentioning

confidence: 99%

Quantum Discord and Entanglement for Two Atoms in a Kerr Medium and Stark Shift

Youssef

2024

APR

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. This study analyzes the effect of the Kerr medium and Stark shift on the entanglement between two two-level atoms and a single-mode cavity in a quantum model. The findings demonstrate that the entanglement between the atoms varies periodically over time, with the periods affected by the Kerr medium and Stark shift. The Kerr medium and Stark shift hinder atom disentanglement, resulting in a prolonged stationary entangled state. The Stark shift can also enhance atom-atom entanglement for partially entangled states. These findings reveal that the Kerr medium and Stark shift can effectively control the entanglement between two atoms. Moreover, weak measurement strength impacts quantum particles' entanglement, which decreases over time. Quantum discord is more affected by weak measurement strengths than entanglement, decreasing until a critical point and increasing with a further rise in weak measurement strengths.

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