Quantum coherence and uncertainty in the anisotropic XY chain

Abstract

We explore the local quantum coherence and the local quantum uncertainty, based on Wigner-Yanase skew information, in the ground state of the anisotropic spin-1/2 XY chain in transverse magnetic field. We show that the skew information, as a figure of merit, supplies the necessary information to reveal the occurrence of the second order phase transition and the completely factorized ground state in the XY model. Additionally, in the same context, we also discuss the usefulness of a simple experimentally friendly lower bound of local quantum coherence. Furthermore, we demonstrate how the connection between the appearance of non-analyticities in the local quantum uncertainty of the ground state and the quantum phase transitions does not hold in general, by providing explicit examples of the situation. Lastly, we discuss the ability of the local quantum coherence to accurately estimate the critical point of the phase transition, and investigate the robustness of the factorization phenomenon at low temperatures.

7 pages, 6 figures. Title changed. Close to published version

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• A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg $XY$ model
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
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• Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
• Factorization and criticality in finite XXZ systems of arbitrary spin
• Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
• Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Quantum uncertainty in critical systems with three spins interaction
• Nonclassicality and criticality in symmetry-protected magnetic phases
• Thermal local quantum uncertainty in a two-qubit-superconducting system under decoherence
• Thermal effects on coherence and excitation transfer
• Quantum coherence and correlations in quantum system
• Noncommutative coherence and quantum phase estimation algorithm
• Two-dimensional easy-plane SU$(3)$ magnet with the transverse field: Anisotropy-driven multicriticality