Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law

@article{Tagliacozzo2009SimulationOT,
  title={Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law},
  author={L. Tagliacozzo and G. Evenbly and G. Vidal},
  journal={Physical Review B},
  year={2009},
  volume={80},
  pages={235127}
}
This work explores the use of a tree tensor network ansatz to simulate the ground state of a local Hamiltonian on a two-dimensional lattice. By exploiting the entropic area law, the tree tensor network ansatz seems to produce quasiexact results in systems with sizes well beyond the reach of exact diagonalization techniques. We describe an algorithm to approximate the ground state of a local Hamiltonian on a L×L lattice with the topology of a torus. Accurate results are obtained for L={4,6,8… Expand
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