Molecular Nanomagnet ${\text{Cu}}^{\text{II}}{\text{Ni}}^{\text{II}}{\text{Cu}}^{\text{II}}$ as Resource for Bipartite and Tripartite Quantum Entanglement and Coherence

Abstract

We investigate key quantum characteristics of the mixed spin-(1/2,1,1/2) Heisenberg trimer under the influence of an external magnetic field. Specifically, we analyze the distributions of bipartite and tripartite entanglement quantified through the respective negativities, and the $l_1$-norm of coherence with the help of rigorous analytical and numerical methods. Our findings suggest that the heterotrinuclear molecular nanomagnet $[\{{\text{Cu}}^{\text{II}}\text{L}{\}}_2{\text{Ni}}^{\text{II}}({\text{H}}_2\text{O}{)}_2]({\text{ClO}}_4{)}_2.3{\text{H}}_2\text{O}$, which represents an experimental realization of the mixed spin-(1/2,1,1/2) Heisenberg trimer, exhibits a significant bipartite entanglement between ${\text{Cu}}^{\text{II}}$ and ${\text{Ni}}^{\text{II}}$ magnetic ions along with robust tripartite entanglement among all three constituent ${\text{Cu}}^{\text{II}}{\text{Ni}}^{\text{II}}{\text{Cu}}^{\text{II}}$ magnetic ions. The significant bipartite and tripartite entanglement persists even at relatively high temperatures up to $37\text{K}$ and magnetic fields up to $46\text{T}$, whereby the coherence is maintained even at elevated temperatures. {It is evidenced that the aforementioned molecular complex with the magnetic core ${\text{Cu}}^{\text{II}}{\text{Ni}}^{\text{II}}{\text{Cu}}^{\text{II}}$ provides an intriguing quantum resource, which exhibits a star-shaped state within the singlet eigenstate at low magnetic fields and W-like state within the triplet eigenstate at moderate magnetic fields.

15 pages, 5 figures

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