Effective separability of typical entangled many-body states
Quantum Physics
2009-07-03 v1
Abstract
We consider two systems of harmonically trapped particles in a typical pure state of the Hilbert space defined by given values of the particle numbers and energies of the two gases. Such a state is entangled but we show that, for large systems, the resulting correlations between the two gases are identical to those of a separable mixture. This result can be generalized to other physical systems. We discuss the relation of this effective separability to the well-known existence of quantum correlations in any entangled state. We study in detail a small bipartite system and find that its correlations are well explained by the large systems results.
Keywords
Cite
@article{arxiv.0907.0386,
title = {Effective separability of typical entangled many-body states},
author = {S. Camalet},
journal= {arXiv preprint arXiv:0907.0386},
year = {2009}
}