2021/05/31 by Luca Dell’Anna, Luca Dell'Anna · 7 citations
Computer Science · Mathematics · Physics and Astronomy · #Boson #Coherence (philosophical gambling strategy) #Density matrix #Diagonal #Geometry #Ground state #Mathematics #Multinomial distribution #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Statistics #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.105.032412
published in Physical Review A 105(3) (American Physical Society) · 10 pages, no figures
openalex publication_date 2022/03/04 · arxiv created 2022/03/05 · arxiv updated 2022/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.