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Entropic Uncertainty in Spin XY Model with Long-Range Interactions
Nour Zidan1,2
1Mathematics Department, College of Science, Jouf University, P.O. Box 2014 Sakaka, Saudi Arabia.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
This study examines two qubits interacting with a magnetic field and Dzyaloshinskii-Moriya interaction. Findings show entanglement decays with magnetic field and coupling, increasing uncertainty and mixedness.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Quantum Computing
Background:
- Uncertainty relations and entanglement are key quantum phenomena.
- Qubit systems interacting with thermal environments and magnetic fields are relevant for quantum technologies.
- Dzyaloshinskii-Moriya interaction introduces unique spin correlations.
Purpose of the Study:
- To investigate the behavior of uncertainty relations and their tightness.
- To analyze the impact of magnetic fields and Dzyaloshinskii-Moriya interaction on qubit entanglement.
- To explore how different coupling strengths affect quantum properties.
Main Methods:
- Theoretical analysis of a two-qubit system.
- Consideration of thermal interaction with a magnetic field.
- Inclusion of Dzyaloshinskii-Moriya interaction with varying strengths.
- Examination of entanglement, uncertainty relations, and mixedness.
Main Results:
- Both magnetic field and coupling parameters decrease entanglement.
- Increasing magnetic field and coupling enhances uncertainty relations and mixedness.
- Sudden changes in these quantities are observed at high field and coupling values.
- Distance and trigonometric coupling types significantly influence the system's behavior.
Conclusions:
- The interplay between magnetic fields, coupling, and Dzyaloshinskii-Moriya interaction critically affects quantum correlations.
- Understanding these dynamics is crucial for designing robust quantum systems.
- Specific coupling types offer distinct control over quantum properties.
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