2007/06/30 by Matteo Rizzi, Simone Montangero, Guifré Vidal +1 · 5 citations
Physics and Astronomy · #Opinion Dynamics and Social Influence #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.other #quant-ph
paper · pdf · doi:10.1103/physreva.77.052328
published as Phys. Rev. A 77, 052328 (2008) · final version with data improvement (precision and size), 4.1 pages, 4 figures + extra on XY
arxiv created 2008/04/24 · openalex publication_date 2008/05/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We describe an algorithm to simulate time evolution using the multiscale entanglement renormalization ansatz and test it by studying a critical Ising chain with periodic boundary conditions and with up to L\ensuremath≈106 quantum spins. The cost of a simulation, which scales as L log2(L), is reduced to log2(L) when the system is invariant under translations. By simulating an evolution in imaginary time, we compute the ground state of the system. The errors in the ground-state energy display no evident dependence on the system size. The algorithm can be extended to lattice systems in higher spatial dimensions.