Entanglement Entropy and Quantum Phase Transition
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".
Deadline for manuscript submissions: 15 April 2025 | Viewed by 5686
Special Issue Editors
Interests: quantum dynamics; Floquet system; non-Hermitian physics; topological phases
Special Issue Information
Dear Colleagues,
Entanglement represents correlations in composite quantum systems with no classical counterparts. As one of the most fascinating features of quantum physics, the presence of entanglement not only deepens our understanding of microscopic worlds, but also provides us with an indispensable resource for the acceleration of quantum computation and commutation. The 2022 Nobel Prize in Physics, which was awarded for experiments establishing entanglement between photons and disproving Bell inequalities, will further motivate our study of entanglement and its characterizations (e.g., entanglement entropy in quantum information science and quantum matter). A quantum phase transition is driven by quantum fluctuations at zero temperature and induced by changing a system parameter such as magnetic field or pressure. Going through a quantum phase transition, the many-body ground state of a system will experience qualitative changes. Intrinsic quantum aspects of these changes can be revealed by the entanglement and topological structures of the underlying wave-function in the critical regime. For example, the bipartite entanglement entropy could diverge at a critical point, and decays monotonically away from it in some spin chain models. In recent years, entanglement entropy, entanglement spectrum and other measures of correlation have been applied to characterize topological phases of matter, topological phase transitions, and quantum phase transitions within or beyond equilibrium situations. In this collection, we aim to bring together conventional and emerging new topics in the study of entanglement entropy and phase transitions in and out of equilibrium in closed and open quantum systems. Submissions that are related to but not restricted to the following topics are most welcome. We welcome the submission of original research articles, review articles and perspectives.
- Entanglement in quantum spin chains;
- Entanglement in topological matter;
- Entanglement in Floquet systems;
- Entanglement in non-Hermitian systems;
- Entanglement in quantum chaotic systems;
- Entanglement in strongly correlated systems;
- Entanglement and dynamical quantum phase transitions;
- Entanglement and ergodicity breaking;
- Entanglement and localization transitions;
- Entanglement and measurement-induced phase transitions;
- Entanglement and quantum computing;
- Entanglement dynamics;
- Measures of quantum correlations beyond entanglement;
- Multipartite entanglement in quantum phase transitions;
- Detection of entanglement entropy and spectrum.
Prof. Dr. Longwen Zhou
Prof. Dr. Dajian Zhang
Guest Editors
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Keywords
- entanglement entropy
- entanglement spectrum
- entanglement dynamics
- entanglement transition
- quantum phase transition
- topological phases of matter
- quantum spin chain
- non-Hermitian systems
- Floquet systems
- localization and quantum chaos
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Planned Papers
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
Tentative title: Entropy Generated by Flat Band
Authors: V.R. Shaginyan 1,2, A.Z. Msezane 1, and S.A. Artamonov 2
Affiliations:
1. Petersburg Nuclear Physics Institute of NRC ”Kurchatov Institute”, Gatchina, 188300, Russia
2. Clark Atlanta University, Atlanta, GA 30314, USA
Abstract:
In our review, we consider the relationships between the entropy and the corresponding flat band that forms the properties of heavy fermion compounds. We show that on one hand, that the entropy stabilizes flat band. On the other hand, the entropy promotes a variety of phase transitions in the vicinity of quantum phase transition, generating the flat band. We analyze the influence of temperature, magnetic field, pressure, superconductivity, etc on the distortion of flat band and the corresponding entropy. We also reveal how the entropy forms such special properties of heavy fermion compounds as the asymmetrical differential conductivity, particle – hole asymmetry, additional residual resistivity and etc.
