Hardcore dimer aspects of the SU(2) Singlet wavefunction

Details Hardcore dimer aspects of the SU(2) Singlet wavefunction Hardcore dimer aspects of the SU(2) Singlet wavefunction

2007-06-17

arxiv.org/abs/0706.2508v3

Phys. Rev. B 77, 134430 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.77.134430

We demonstrate that any SU(2) singlet wavefunction can be characterized by a set of Valence Bond occupation numbers, testing dimer presence/vacancy on pairs of sites. This genuine quantum property of singlet states (i) shows that SU(2) singlets share some of the intuitive features of hardcore quantum dimers, (ii) gives rigorous basis for interesting albeit apparently ill-defined quantities introduced recently in the context of Quantum Magnetism or Quantum Information to measure respectively spin correlations and bipartite entanglement and, (iii) suggests a scheme to define consistently a wide family of quantities analogous to high order spin correlation. This result is demonstrated in the framework of a general functional mapping between the Hilbert space generated by an arbitrary number of spins and a set of algebraic functions found to be an efficient analytical tool for the description of quantum spins or qubits systems.

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