2011
DOI: 10.1103/physrevb.84.245133
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Quantum discord and classical correlations in the bond-charge Hubbard model: Quantum phase transitions, off-diagonal long-range order, and violation of the monogamy property for discord

Abstract: We study the quantum discord (QD) and the classical correlations (CC) in a reference model for strongly correlated electrons, the one-dimensional bond-charge extended Hubbard model. We show that the comparison of QD and CC and of their derivatives in the direct and reciprocal lattice allows one to efficiently inspect the structure of two-points driven quantum phase transitions (QPTs), discriminating those at which off diagonal long range order (ODLRO) is involved. Moreover we observe that QD between pair of si… Show more

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Cited by 50 publications
(25 citation statements)
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“…However, for mixed states this is not true in general. This quantity is interesting since, as we will see in the next sections, it can be a useful measure in order to study quantum phase transitions in many-body systems [22][23][24].…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…However, for mixed states this is not true in general. This quantity is interesting since, as we will see in the next sections, it can be a useful measure in order to study quantum phase transitions in many-body systems [22][23][24].…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…Another investigation of monogamy of QD has been carried out for strongly correlated electrons in the bond charge exended 1D Hubbard model [766]. The ground state of the model possesses three different phases.…”
Section: Many-body Systemsmentioning
confidence: 99%
“…Obtaining and calculating correlations, whether quantum or classical, in physical systems, can help us to understand these systems more deeply. In computing correlations, measurements are performed on the system to gain correlation information and it is necessary again best measurements are employed [11,[13][14][15][16][17][18][19][20][21]. Quantum entanglement, which is one of the most important features of quantum mechanics, and is widely used in quantum computing and information.…”
Section: Introductionmentioning
confidence: 99%