2007

Simulation of time evolution with the MERA

Rizzi, Matteo, Montangero, Simone, Vidal, Guifre'

Understand

We describe an algorithm to simulate time evolution using the Multi-scale Entanglement Renormalization Ansatz (MERA) and test it by studying a critical Ising chain with periodic boundary conditions and with up to L ~ 10^6 quantum spins.

  • The cost of a simulation, which scales as L log(L), is reduced to log(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.

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