TY  - JOUR
A1  - de Beaudrap, Niel
A1  - Osborne, Tobias J.
A1  - Eisert, Jens
T1  - Ground states of unfrustrated spin Hamiltonians satisfy an area law
N2  - We show that ground states of unfrustrated quantum spin-1/2 systems on general lattices satisfy an entanglement area law, provided that the Hamiltonian can be decomposed into nearest-neighbor interaction terms that have entangled excited states. The ground state manifold can be efficiently described as the image of a low-dimensional subspace of low Schmidt measure, under an efficiently contractible tree-tensor network. This structure gives rise to the possibility of efficiently simulating the complete ground space (which is in general degenerate). We briefly discuss 'non- generic' cases, including highly degenerate interactions with product eigenbases, using a relationship to percolation theory. We finally assess the possibility of using such tree tensor networks to simulate almost frustration- free spin models.
Y1  - 2010
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/32125
UR  - http://iopscience.iop.org/1367-2630
SN  - 1367-2630
ER  -