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

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

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 …