Two-site reduced density matrix from one- and two-particle Green's functions

Roósz, Gergő; Kauch, Anna; Bippus, Frederic; Wieser, Daniel; Held, Karsten

doi:10.1103/physrevb.110.075115

Phys. Rev. B

2024

DOI: 10.1103/physrevb.110.075115

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Two-site reduced density matrix from one- and two-particle Green's functions

Gergő Roósz,

Anna Kauch,

Frederic Bippus

et al.

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Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review

Laurell,

Scheie,

Dagotto

et al. 2024

Adv Quantum Tech

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The detection and certification of entanglement and quantum correlations in materials is of fundamental and far‐reaching importance, and has seen significant recent progress. It impacts both the understanding of the basic science of quantum many‐body phenomena as well as the identification of systems suitable for novel technologies. Frameworks suitable to condensed matter that connect measurements to entanglement and coherence have been developed in the context of quantum information theory. These take the form of entanglement witnesses and quantum correlation measures.The underlying theory of these quantities, their relation to condensed matter experimental techniques, and their application to real materials are comprehensively reviewed. In addition, their usage in, e.g., protocols, the relative advantages and disadvantages of witnesses and measures, and future prospects in, e.g., correlated electrons, entanglement dynamics, and entangled spectroscopic probes, are presented. Consideration is given to the interdisciplinary nature of this emerging research and substantial ongoing progress by providing an accessible and practical treatment from fundamentals to application. Particular emphasis is placed on quantities accessible to collective measurements, including by susceptibility and spectroscopic techniques. This includes the magnetic susceptibility witness, one‐tangle, concurrence and two‐tangle, two‐site quantum discord, and quantum coherence measures such as the quantum Fisher information.

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Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review

Laurell,

Scheie,

Dagotto

et al. 2024

Adv Quantum Tech

View full text Add to dashboard Cite

show abstract

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Two-site reduced density matrix from one- and two-particle Green's functions

Cited by 1 publication

References 46 publications

Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review

Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review

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