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Abstract: We demonstrate that any SU2 singlet wavefunction can be characterized by aset of Valence Bond occupation numbers, testing dimer presence-vacancy on pairsof sites. This genuine quantum property of singlet states i shows that SU2singlets share some of the intuitive features of hardcore quantum dimers, iigives rigorous basis for interesting albeit apparently ill-defined quantitiesintroduced recently in the context of Quantum Magnetism or Quantum Informationto measure respectively spin correlations and bipartite entanglement and, iiisuggests a scheme to define consistently a wide family of quantities analogousto high order spin correlation. This result is demonstrated in the framework ofa general functional mapping between the Hilbert space generated by anarbitrary number of spins and a set of algebraic functions found to be anefficient analytical tool for the description of quantum spins or qubitssystems.



Autor: Matthieu Mambrini

Fuente: https://arxiv.org/







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