Entanglement properties and ground-state statistics of free bosons
arXiv:2105.13269 · doi:10.1103/PhysRevA.105.032412
Abstract
We calculate analytically the entanglement and Rényi entropies, the negativity and the mutual information together with all the density and many-particle correlation functions for free bosons on a lattice in the ground state, for both homogeneous and inhomogeneous systems. We show that all those quantities can be derived from a multinomial form of the reduced density matrix in the configuration space whose diagonal elements dictate the statistics of the particle distribution, while the off-diagonal coherence terms control the quantum fluctuations. We provide by this analysis a unified approach based on a reduced density matrix technique useful to calculate both the entanglement properties and an infinite number of correlation functions.
arXiv comment10 pages, no figures
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