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arXiv:1711.08620 · Quantum Information Processing

Herring–Flicker coupling and thermal quantum correlations in bipartite system

Kapil K. Sharma

Published Oct 12, 2018• 7 citations
arXivHTMLPDF
DOI
10.1007/s11128-018-2089-1

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Quantum Correlations in Multipartite Quantum Systems

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In this letter we study thermal entanglement in bipartite spin system imposed by external magnetic field with Herring-Flicker coupling ie. J(R)=1.642e−2RR5/2+O(R2e−2R)J(R)=1.642 e^{-2 R} R^{5/2}+O(R^{2}e^{-2R})J(R)=1.642e−2RR5/2+O(R2e−2R). The Herring-Flicker coupling strength is the function of RRR, which is the distance between spins. By tuning the coupling distance the entanglement can be scaled in the bipartite system. In the present letter we find the thermal entanglement suddenly vanish from the system over the coupling distance RRR. We also investigate the parameter values where the thermal entanglement vanishing takes place. The present findings in the letter may be useful for designing quantum wires, data bus, solid state gates and quantum processors with spin systems.
Abstract In this study, we use the concept of l 1-norm coherence to characterize the entanglement of a two–qutrit Heisenberg XXZ model for subject to a uniform magnetic field and z–axis Dzyaloshinskii–Moriya interaction with Herring-Flicker coupling. We show that the temperature, magnetic field, DM interaction, and distance of Herring-Flicker coupling can all control the entanglement. However, the state system becomes less entangled at high temperatures or strong magnetic fields and vice versa. Our findings suggest that entanglement rises when the z–axis DM interaction increases. Additionally, we show that plateau behavior in the entanglement between spins (1, 1) occurs in the XXZ Heisenberg spin system and is influenced by the magnetic field, demonstrating that thermal agitation can weaken entanglement plateaus. Moreover, by setting the strengths coupling of the spin, we quickly recover the isotropic XY and XXX Heisenberg models. Finally, Herring-Flicker coupling affects the degree of entanglement. When Herring-Flicker coupling and temperature are at small values, the degree of entanglement is at its highest. Still, when Herring-Flicker coupling is at substantial values, the degree of entanglement tends to stabilize.
We study the thermal quantum correlations in tripartite atomic system under the existence of Herring-Flicker (HF) coupling among the atoms. We explore two topologically distinct configurations of three coupled two-level atoms, viz., loop and line, differing in their coupling pattern. Further, the systems having asymmetric arrangement of atoms are quantum mechanically correlated more strongly than systems having symmetric arrangements. The variable nature of HF coupling leads to the increase of both concurrence and discord from zero to a saturation value from where they decrease to zero as a function of inter-atomic distance. Further separation leads to both the quantities attaining another saturation value. This controlled correlations play an important role in the design of quantum data buses that can transfer quantum states to establish quantum communication. The systems coupled via HF coupling will be efficient for this task as they are maximally entangled in parametrically controlled manner. Thus, these systems will be propitious for various quantum protocols such as secure communication, quantum cryptography, quantum key distribution etc.