Local quantum Fisher information and local quantum uncertainty for general X-states

Abstract

A two-spin-1/2 Heisenberg XYZ model with Dzyaloshinsky--Moriya (DM) and Kaplan--Shekhtman--Entin-Wohlman--Aharony (KSEA) interactions in the presence of an inhomogeneous external magnetic field is considered at thermal equilibrium. Its density matrix has the general X form for which we derive explicit formulas for the local quantum Fisher information (LQFI) and local quantum uncertainty (LQU) directly in terms of model parameters. This allows us to perform a comparative study for the discord-type quantum correlations LQFI and LQU and to reveal a number of new features in their behavior. In particular, the sudden transitions of quantum correlations with a smooth change in temperature are found. Moreover, it is shown that there may be a sequence of such transitions for certain choices of interaction constants.

17 pages, 4 figures (7 eps files)

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• A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states
• Quantifying non-Markovianity via local quantum Fisher information
• Quantum correlations in general qubit-qudit axially symmetric states
• Quantum correlations versus spin magnitude: Transition to the classical limit
• Hierarchy of quantum correlations in qubit-qutrit axially symmetric states
• Magnetoelastic control of quantum correlations and field sensitivity in a spin-1/2 Heisenberg dimer
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• Coherence and Entanglement in a Non-commutative Spacetime