The Intrinsic Decoherence Effects on Nonclassical Correlations in a Dipole-Dipole Two-Spin System with Dzyaloshinsky-Moriya Interaction

Oumennana, Mansoura; Chaouki, Essalha; Mansour, M.

doi:10.1007/s10773-022-05255-y

Cited by 7 publications

(3 citation statements)

References 70 publications

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“…In the intrinsic decoherence model, Milburn suggests that for sufficiently short time steps the considered system does not evolve continuously under the unitary transformation, but rather changes stochastically under identical unitary transformations. Furthermore, the impact of the intrinsic decoherence (ID) on quantum resources in different quantum systems has been the subject of numerous studies [46][47][48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Oumennana,

Mansour

2024

Phys. Scr.

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This research delves into the dynamical behavior of quantum correlations and coherence within a mixed Heisenberg dimer system under the intrinsic decoherence. Our approach involves the application of logarithmic negativity, local quantum uncertainty, and the ℓ 1 norm-based coherence as quantifiers for entanglement, skew information correlations, and quantum coherence in this qubit-qutrit model. Our primary objective is to explore the impact of various factors on the dynamics of quantum correlations and quantum coherence. These factors encompass the initial density matrix and its mixing parameter, the intrinsic decoherence rate (γ), the external magnetic field, as well as intrinsic system parameters, notably the XXZ and uniaxial single-ion anisotropies. Our results demonstrate that the introduction of intrinsic decoherence (ID) significantly erodes quantum resources. Particularly, for high values of the ID rate (γ), excessive damping occurs, leading to the absence of oscillations or a rapid decay of quantum resources, ultimately stabilizing in steady states. Furthermore, the presence of an external homogeneous magnetic field further diminishes quantum resources within the system. However, despite the degradation induced by the combined influence of intrinsic decoherence and high external magnetic field intensities, the judicious selection of the initial density matrix and precise adjustment of the uniaxial single-ion anisotropy enable the preservation of quantum resources within the mixed spin-(1/2, 1) Heisenberg dimer.

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Section: Introductionmentioning

confidence: 99%

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Oumennana,

Mansour

2024

Phys. Scr.

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“…LQU measures the minimum quantum uncertainty present in a nonclassical state when calculating a specific local observable. Interestingly, LQU is readily measured for all two-party systems and has been widely analyzed and employed in numerous papers [32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Quantum interferometric power versus quantum correlations in a graphene layer system with a scattering process under thermal noise

Bouafia,

Mansour

2023

Laser Phys. Lett.

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Cutting-edge quantum processing technology is currently exploring the remarkable electronic properties of graphene layers, such as their high mobility and thermal conductivity. Our research is dedicated to investigating the behavior of quantum resources within a graphene layer system with a scattering process, specifically focusing on quantum interferometric power (QIP) and quantum correlations, while taking into account the influence of thermal noise. To quantify these correlations, we employ measures like local quantum uncertainty (LQU) and logarithmic negativity (LN). We examine how factors like temperature, inter-valley scattering processes strength, and other system parameters affect both QIP and quantum correlations. Our results reveal that higher temperatures lead to a reduction in QIP and non-classical correlations within graphene layers. Moreover, it is noteworthy that QIP and LQU respond similarly to changes in temperature, whereas LN is more sensitive to these variations. By optimizing system parameters such as band parameter, wavenumber operators and scattering processes strength, we can mitigate the impact of thermal noise and enhance the quantum advantages of graphene-based quantum processing

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“…The last decade has been very prolific in this field we want to board, the community has taken the task to study a vast amount of systems that can experience intrinsic decoherence. We can see research on quantification of non-classicality [9], qubits for quantum information processing [10], bipolar spin systems [11], quantum dot correlations [12], Heisenberg XYZ spin chains, quantum-memory-assisted two-qubit, and the temporal evolution of quantum correlations [13,14,15], quantum-memory-assisted entropic uncertainty, mixedness, and entanglement dynamics in two-qubit system [16], symmetric spin-orbit model [17], two-qubit quantum Fisher information [18], two-qubit maximally entangled Bell states [19], trapped ions [20], isolated Heisenber and Aubry-André spin models [21], two coupled quantum dots [22], N-level atomic system [23], two-coupled qubit two-level cavity [24], twolevel atom [25], state transfer in spin channels [26], Heisenber anisotropic interaction [27], nonlocal advantage of quantum coherence [28], qutrit teleportation [29], and quantum dense coding [30]. When we look at specific examples related optomechanical systems, we find notable works on Jaynes-Cummings under intrinsic decoherence [31,32,33], bimodal multiquanta Jaynes-Cummings [34], entanglement two Tavis-Cummings (no-RWA JC) [35], and ultra-strong coupled harmonic oscillator in cavities [36].…”

Section: Introductionmentioning

confidence: 99%

Intrinsic decoherence dynamics in the three-coupled harmonic oscillators interaction

Urzúa¹,

Moya‐Cessa

2023

Int. J. Mod. Phys. B

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A system of three-coupled quantized fields is studied under the intrinsic decoherence scheme given by the Milburn equation. Taking the closed analytical form of this relation, without second-order approximation, we arrive at an explicit analytical solution for the wavefunction dynamics. We show the decaying behavior in the number of modes of each quantized field for suitable initial conditions. One of the modes goes coherently driven, and the others are vacuum states. We discuss the redistribution of the excitations.

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The Intrinsic Decoherence Effects on Nonclassical Correlations in a Dipole-Dipole Two-Spin System with Dzyaloshinsky-Moriya Interaction

Cited by 7 publications

References 70 publications

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Quantum interferometric power versus quantum correlations in a graphene layer system with a scattering process under thermal noise

Intrinsic decoherence dynamics in the three-coupled harmonic oscillators interaction

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