Publication: Measuring Renyi Entanglement Entropy in Quantum Monte Carlo Simulations
All || By Area || By Year| Title | Measuring Renyi Entanglement Entropy in Quantum Monte Carlo Simulations | Authors/Editors* | M. B. Hastings, I. González, A. B. Kallin, R. G. Melko |
|---|---|
| Where published* | Physical Review Letters |
| How published* | Journal |
| Year* | 2010 |
| Volume | 104 |
| Number | 157201 |
| Pages | |
| Publisher | |
| Keywords | |
| Link | http://link.aps.org/doi/10.1103/PhysRevLett.104.157201 |
| Abstract |
We develop a quantum Monte Carlo procedure, in the valence bond basis, to measure the Renyi entanglement entropy of a many-body ground state as the expectation value of a unitary Swap operator acting on two copies of the system. An improved estimator involving the ratio of Swap operators for different subregions enables convergence of the entropy in a simulation time polynomial in the system size. We demonstrate convergence of the Renyi entropy to exact results for a Heisenberg chain. Finally, we calculate the scaling of the Renyi entropy in the two-dimensional Heisenberg model and confirm that the Néel ground state obeys the expected area law for systems up to linear size L=32. |
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