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Entanglement entropy from charge statistics: Exact relations for noninteracting many-body systems

Hao SongDepartment of Physics, Yale University, New Haven, Connecticut 06520, USAChristian FlindtDépartement de Physique Théorique, Université de Genève, CH-1211 Genève, SwitzerlandStephan RachelDepartment of Physics, Yale University, New Haven, Connecticut 06520, USAIsrael KlichDepartment of Physics, University of Virginia, Charlottesville, Virginia 22904, USAKaryn Le HurDepartment of Physics, Yale University, New Haven, Connecticut 06520, USA

2011en

ABI

Annotatsiya

We present an exact expression for the entanglement entropy generated at a quantum point contact between noninteracting electronic leads in terms of the full counting statistics of charge fluctuations, which we illustrate with examples from both equilibrium and nonequilibrium transport. The formula is also applicable to ground-state entanglement entropy in systems described by noninteracting fermions in any dimension, which in one dimension include the critical spin-1/2 $\mathit{XX}$ and Ising models where conformal field theory predictions for the entanglement entropy are reproduced from the full counting statistics. These results may play an important role in experimental measurements of entanglement entropy in mesoscopic structures and cold atoms in optical lattices.

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DOI: 10.1103/physrevb.83.161408

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