Simulating typical entanglement with many-body Hamiltonian dynamics
Abstract
We study the time evolution of the amount of entanglement generated by one dimensional spin-1/2 Ising-type Hamiltonians composed of many-body interactions. We investigate sets of states randomly selected during the time evolution generated by several types of time-independent Hamiltonians by analyzing the distributions of the amount of entanglement of the sets. We compare such entanglement distributions with that of typical entanglement, entanglement of a set of states randomly selected from a Hilbert space with respect to the unitarily invariant measure. We show that the entanglement distribution obtained by a time-independent Hamiltonian can simulate the average and standard deviation of the typical entanglement, if the Hamiltonian contains suitable many-body interactions. We also show that the time required to achieve such a distribution is polynomial in the system size for certain types of Hamiltonians.
Keywords
Cite
@article{arxiv.1108.0485,
title = {Simulating typical entanglement with many-body Hamiltonian dynamics},
author = {Yoshifumi Nakata and Mio Murao},
journal= {arXiv preprint arXiv:1108.0485},
year = {2011}
}
Comments
Revised, 11 pages, 7 figures