Bounds on the entanglement entropy by the number entropy in non-interacting fermionic systems

Maximilian Kiefer-Emmanouilidis, Razmik Unanyan, Jesko Sirker +1

Entanglement in a pure state of a many-body system can be characterized by the Rényi entropies $S^{(\alpha )}=\ln \text{tr}({\rho }^{\alpha })/(1-\alpha )$ of the reduced density matrix $\rho$ of a subsystem.…