Journal
PHYSICAL REVIEW A
Volume 105, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.105.032412
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Funding
- project BIRD 2021 Correlations, dynamics and topology in long-range quantum systems of the Department of Physics and Astronomy, University of Padova
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We analytically calculate the entanglement properties of free bosons on a lattice in the ground state. Our analysis provides a unified approach based on a reduced density matrix technique to calculate the entanglement and an infinite number of correlation functions.
We calculate analytically the entanglement and Renyi 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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