| Title | Homogeneous binary trees as ground states of quantum critical Hamiltonians |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | Silvi, P, Giovannetti, V, Montangero, S, Rizzi, M, Cirac, JI, Fazio, R |
| Journal | Phys. Rev. A 81 (2010) 062335 |
| 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. |
| URL | http://hdl.handle.net/1963/3909 |
| DOI | 10.1103/PhysRevA.81.062335 |
| Alternate Journal | Critical properties of homogeneous binary trees |
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