Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
Mesoscale and Nanoscale Physics
2011-05-04 v1 Quantum Physics
Abstract
We present exact formulas for the entanglement and R\'{e}nyi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrate with examples from both equilibrium and non-equilibrium transport. The formulas are also applicable to groundstate entanglement in systems described by non-interacting fermions in any dimension, which in one dimension includes the critical spin-1/2 XX and Ising models where conformal field theory predictions for the entanglement and R\'{e}nyi entropies are reproduced from the full counting statistics. These results may play a crucial role in the experimental detection of many-body entanglement in mesoscopic structures and cold atoms in optical lattices.
Cite
@article{arxiv.1008.5191,
title = {Entanglement from Charge Statistics: Exact Relations for Many-Body Systems},
author = {H. Francis Song and Christian Flindt and Stephan Rachel and Israel Klich and Karyn Le Hur},
journal= {arXiv preprint arXiv:1008.5191},
year = {2011}
}