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arXiv · 0912.0466

Critical properties of homogeneous binary trees

P. Silvi·V. Giovannetti·S. Montangero·M. Rizzi·J. I. Cirac·R. Fazio
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Abstract

Many-body states whose wave-function admits a representation in terms of a uniform binary-tree tensor decomposition are shown to obey to power-law two-body correlations functions. Any such state can be associated with the ground state of a translational invariant Hamiltonian which, depending on the dimension of the systems sites, involve at most couplings between third-neighboring sites. A detailed analysis of their spectra shows that they admit an exponentially large ground space.

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P. Silvi, V. Giovannetti, S. Montangero, M. Rizzi, J. I. Cirac, R. Fazio. 2010-09-10. Critical properties of homogeneous binary trees. https://doi.org/10.1103/physreva.81.062335

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