Related papers: Entanglement properties and ground-state statistics of free bosons

Entanglement properties and ground-state statistics of free bosons

URL: http://arxiv.org/abs/2105.13269v2
Date: Sat, 5 Mar 2022 17:31:09 GMT
Title: Entanglement properties and ground-state statistics of free bosons
Authors: Luca Dell'Anna
Abstract summary: We show that all those quantities can be derived from a multinomial form of the reduced density matrix in the configuration space. 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.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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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