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arXiv · 2105.13269

Entanglement properties and ground-state statistics of free bosons

Luca Dell'Anna
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Abstract

We calculate analytically the entanglement and R\'enyi 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.

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Luca Dell'Anna. 2021-05-27. Entanglement properties and ground-state statistics of free bosons. https://doi.org/10.1103/physreva.105.032412

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