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Quantum Correlations in Many-Body Systems

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: 20 June 2025 | Viewed by 2154

Special Issue Editor


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Guest Editor
Department of Physics, ETH Zürich, 8093 Zürich, Switzerland
Interests: quantum correlations; quantum metrology; quantum foundations

Special Issue Information

Dear Colleagues,

Quantum correlations provide crucial insights into the most fundamental aspects of nature and represent an essential resource for quantum technologies. In the context of many-body systems, these correlations can appear in complex yet intriguing structures, naturally prompting conceptual questions about their characterisation and quantification. From a practical standpoint, the challenge lies in preparing and detecting many-body quantum correlations using practical experimental tools.

In recent decades, tremendous progress has been made in this field. Quantum correlations have been classified in terms of tasks and resource theories. Information-theoretic tools have been developed to reveal their presence and to measure their strength. Experimental setups have demonstrated their preparation and detection in atomic, optical, and solid-state systems.

This Special Issue provides a timely opportunity to present current advances in our understanding of quantum correlations in many-body systems, while also highlighting open questions in the field. Topics covered in this Special Issue include the preparation, detection, characterisation, and quantification of entanglement, Einstein–Podolsky–Rosen steering, and Bell nonlocality in many-body systems. Additionally, it emphasises the role of these correlations in quantum technologies, such as quantum metrology, quantum communication, one- and two-sided device-independent tasks, and randomness generation.

Dr. Matteo Fadel
Guest Editor

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Keywords

  • many-body systems
  • multipartite quantum correlations
  • entanglement
  • Einstein–Podolsky–Rosen steering
  • Bell nonlocality

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Published Papers (2 papers)

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Research

10 pages, 2744 KiB  
Article
Density–Density Correlation Spectra of Ultracold Bosonic Gas Released from a Deep 1D Optical Lattice
by Yunzhi Tan, Qiang Zhu, Bing Wang, Jingran Shi, Dezhi Xiong and Baolong Lyu
Entropy 2024, 26(10), 854; https://doi.org/10.3390/e26100854 - 10 Oct 2024
Viewed by 721
Abstract
Density–density correlation analysis is a convenient diagnostic tool to reveal the hidden order in the strongly correlated phases of ultracold atoms. We report on a study of the density–density correlations of ultracold bosonic atoms which were initially prepared in a Mott insulator (MI) [...] Read more.
Density–density correlation analysis is a convenient diagnostic tool to reveal the hidden order in the strongly correlated phases of ultracold atoms. We report on a study of the density–density correlations of ultracold bosonic atoms which were initially prepared in a Mott insulator (MI) state in one-dimensional optical lattices. For the atomic gases released from the deep optical lattice, we extracted the normalized density–density correlation function from the atomic density distributions of freely expanded atomic clouds. Periodic bunching peaks were observed in the density–density correlation spectra, as in the case of higher-dimensional lattices. Treating the bosonic gas within each lattice well as a subcondensate without quantum tunneling, we simulated the post-expansion density distribution along the direction of the 1D lattice, and the calculated density–density correlation spectra agreed with our experimental observations. Full article
(This article belongs to the Special Issue Quantum Correlations in Many-Body Systems)
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17 pages, 647 KiB  
Article
Deriving Three-Outcome Permutationally Invariant Bell Inequalities
by Albert Aloy, Guillem Müller-Rigat, Jordi Tura and Matteo Fadel
Entropy 2024, 26(10), 816; https://doi.org/10.3390/e26100816 - 25 Sep 2024
Cited by 2 | Viewed by 926
Abstract
We present strategies to derive Bell inequalities valid for systems composed of many three-level parties. This scenario is formalized by a Bell experiment with N observers, each of which performs one out of two possible three-outcome measurements on their share of the system. [...] Read more.
We present strategies to derive Bell inequalities valid for systems composed of many three-level parties. This scenario is formalized by a Bell experiment with N observers, each of which performs one out of two possible three-outcome measurements on their share of the system. As the complexity of the set of classical correlations prohibits its full characterization in this multipartite scenario, we consider its projection to a lower-dimensional subspace spanned by permutationally invariant one- and two-body observables. This simplification allows us to formulate two complementary methods for detecting nonlocality in multipartite three-level systems, both having a complexity independent of N. Our work can have interesting applications in the detection of Bell correlations in paradigmatic spin-1 models, as well as in experiments with solid-state systems or atomic ensembles. Full article
(This article belongs to the Special Issue Quantum Correlations in Many-Body Systems)
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