Entanglement from Charge Statistics: Exact Relations for Many-Body Systems

Details Entanglement from Charge Statistics: Exact Relations for Many-Body Systems Entanglement from Charge Statistics: Exact Relations for Many-Body Systems

2010-08-31

arxiv.org/abs/1008.5191v1

Phys. Rev. B 83, 161408(R) (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.83.161408

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.

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