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

• URL: http://arxiv.org/abs/2303.03685v1
• Date: Tue, 7 Mar 2023 06:56:24 GMT
• Title: Local quantum Fisher information and local quantum uncertainty for general X-states
• Authors: M. A. Yurischev and Saeed Haddadi
• Abstract summary: We derive formulas for the local quantum Fisher information (LQFI) and local quantum uncertainty (LQU) directly in terms of model parameters. Sudden transitions of quantum correlations with a smooth change in temperature are found.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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