How to cite:
Ali, A.; Nadeem, M.N.; Toor, A.; Ulhaq, J.; Ahad, S. Revealing Trade off Relations Among Thermal Coherences and Correlations in Heisenberg XXX Model Under Inhomogeneous Magnetic Eld. Preprints2021, 2021110143. https://doi.org/10.20944/preprints202111.0143.v1
Ali, A.; Nadeem, M.N.; Toor, A.; Ulhaq, J.; Ahad, S. Revealing Trade off Relations Among Thermal Coherences and Correlations in Heisenberg XXX Model Under Inhomogeneous Magnetic Eld. Preprints 2021, 2021110143. https://doi.org/10.20944/preprints202111.0143.v1
Ali, A.; Nadeem, M.N.; Toor, A.; Ulhaq, J.; Ahad, S. Revealing Trade off Relations Among Thermal Coherences and Correlations in Heisenberg XXX Model Under Inhomogeneous Magnetic Eld. Preprints2021, 2021110143. https://doi.org/10.20944/preprints202111.0143.v1
APA Style
Ali, A., Nadeem, M.N., Toor, A., Ulhaq, J., & Ahad, S. (2021). Revealing Trade off Relations Among Thermal Coherences and Correlations in Heisenberg XXX Model Under Inhomogeneous Magnetic Eld. Preprints. https://doi.org/10.20944/preprints202111.0143.v1
Chicago/Turabian Style
Ali, A., Junaid Ulhaq and Shah Ahad. 2021 "Revealing Trade off Relations Among Thermal Coherences and Correlations in Heisenberg XXX Model Under Inhomogeneous Magnetic Eld" Preprints. https://doi.org/10.20944/preprints202111.0143.v1
Abstract
We study the validity of quantum Fisher information (QFI) as a faithful quantum coherence and correlation quanti er by drawing a comparison with subsystem's coherence measure, rst-order coherence (FOC) and the entanglement measure, Negativity to study the behavior of thermal quantum coherence and correlations in two qubit Heisenberg XXX model, placed in independently controllable magnetic eld by systematically varying the coupling parameter, magnetic eld and bath temperature for ferromagnetic and antiferromagnetic case. After carefully observing the pro le of quantum coherence and correlation measures, we propose an inequality relations which shows that there may exist a quantitative relationship between QFI, Negativity and FOC in which, the equality exists at zero temperature. We identify QFI to be a more useful coherence quanti er, as it quanti es coherence of individual subsystems and correlations among the subsystems. On the other hand, FOC identi es coherence present in the individual subsystems only. A reciprocal relationship between Negativity and FOC is also observed in dierent cases. We also observe the existence of entanglement in ferromagnetic case, in contrast to simple Heisenberg XXX model in uniform magnetic eld. We show that in the ferromagnetic case, a very small inhomogeneity in magnetic eld is capable of producing large values of thermal entanglement. This shows that the behavior of entanglement in the ferromagnetic Heisenberg system is highly unstable against inhomogeneity of magnetic elds, which is inevitably present in any solid state realization of qubits.
Keywords
Quantum Information; Quantum FIsher Information; Negativity; First Order Coherence; Heisenberg Model
Subject
Physical Sciences, Atomic and Molecular Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
