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Entropy in Quantum Systems and Quantum Field Theory (QFT)

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

Deadline for manuscript submissions: closed (31 July 2017) | Viewed by 21223

Special Issue Editor


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Guest Editor
1. ISEM Institute for Scientific Methodology, Via Ugo La Malfa n. 153, 90146 Palermo, Italy
2. School of Advanced International Studies on Applied Theoretical and Non Linear Methodologies of Physics, 70121 Bari, Italy
Interests: foundation of quantum theories; quantum cosmology; de sitter holographic models; dissipative quantum field theories; physics of emergence and organization; fisher information; sub- and super-turing computation models
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Special Issue Information

Dear Colleagues,

In these last few years, a growing interest has been expressed for entropic and informational aspects of quantum systems. In particular, we know that the quantum entropy is an important index for non-local correlations and entanglement. Relaxation, dissipation, noise, and fluctuations in Quantum Open Systems and in Quantum Field Theory are concepts that run through all of Physics, from elementary particles to cosmology. This Special Issue of Entropy is an invitation to scholars at deepening the theory and the applications of this important area of research.

Prof. Dr. Ignazio Licata
Guest Editor

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Keywords

  • Quantum Open Systems and Nonequilibrium Quantum Field Theory
  • Quantum Fields Background and Particles Creation
  • Dissipative Dynamics in QM and QFT
  • Quantum Entropies, Noise and Fluctuations
  • Coherence and Decoherence in Quantum Systems
  • Entanglement Entropy in Quantum Field Theory
  • Nonequilibrium Quantum Processes in the early universe

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Published Papers (4 papers)

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Research

311 KiB  
Article
Rényi Divergences, Bures Geometry and Quantum Statistical Thermodynamics
by Ali Ümit Cemal Hardal and Özgür Esat Müstecaplıoğlu
Entropy 2016, 18(12), 455; https://doi.org/10.3390/e18120455 - 19 Dec 2016
Cited by 2 | Viewed by 4909
Abstract
The Bures geometry of quantum statistical thermodynamics at thermal equilibrium is investigated by introducing the connections between the Bures angle and the Rényi 1/2-divergence. Fundamental relations concerning free energy, moments of work, and distance are established. Full article
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
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257 KiB  
Article
Linear Quantum Entropy and Non-Hermitian Hamiltonians
by Alessandro Sergi and Paolo V. Giaquinta
Entropy 2016, 18(12), 451; https://doi.org/10.3390/e18120451 - 16 Dec 2016
Cited by 21 | Viewed by 5946
Abstract
We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow of information during the [...] Read more.
We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow of information during the dynamics. Such linear entropy functionals are necessary in the case of a partially Wigner-transformed non-Hermitian Hamiltonian (which is typically useful within a mixed quantum-classical representation). Both the case of a system represented by a pure non-Hermitian Hamiltonian as well as that of the case of non-Hermitian dynamics in a classical bath are explicitly considered. Full article
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
2420 KiB  
Article
Effects Induced by the Initial Condition in the Quantum Kibble–Zurek Scaling for Changing the Symmetry-Breaking Field
by Liang-Jun Zhai and Shuai Yin
Entropy 2016, 18(12), 446; https://doi.org/10.3390/e18120446 - 14 Dec 2016
Viewed by 5435
Abstract
The Kibble–Zurek scaling describes the driven critical dynamics starting with an equilibrium state far away from the critical point. Recently, it has been shown that scaling behaviors also exist when the fluctuation term changes starting near the critical point. In this case, the [...] Read more.
The Kibble–Zurek scaling describes the driven critical dynamics starting with an equilibrium state far away from the critical point. Recently, it has been shown that scaling behaviors also exist when the fluctuation term changes starting near the critical point. In this case, the relevant initial conditions should be included in the scaling theory as additional scaling variables. Here, we study the driven quantum critical dynamics in which a symmetry-breaking field is linearly changed starting from the vicinity of the critical point. We find that, similar to the case of changing the fluctuation term, scaling behaviors in the driven dynamics can be described by the Kibble–Zurek scaling with the initial symmetry-breaking field being included as its additional scaling variable. Both the cases of zero and finite temperatures are considered, and the scaling forms of the order parameter and the entanglement entropy are obtained. We numerically verify the scaling theory by taking the quantum Ising model as an example. Full article
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
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273 KiB  
Article
Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe
by Subenoy Chakraborty, Subhajit Saha and Christian Corda
Entropy 2016, 18(8), 287; https://doi.org/10.3390/e18080287 - 8 Aug 2016
Cited by 5 | Viewed by 3877
Abstract
The present work deals with the semi-classical tunnelling approach and the Hamilton–Jacobi method to study Hawking radiation from the dynamical horizon of both the homogeneous Friedmann–Robertson–Walker (FRW) model and the inhomogeneous Lemaitre–Tolman–Bondi (LTB) model of the Universe. In the tunnelling prescription, radial null [...] Read more.
The present work deals with the semi-classical tunnelling approach and the Hamilton–Jacobi method to study Hawking radiation from the dynamical horizon of both the homogeneous Friedmann–Robertson–Walker (FRW) model and the inhomogeneous Lemaitre–Tolman–Bondi (LTB) model of the Universe. In the tunnelling prescription, radial null geodesics are used to visualize particles from behind the trapping horizon and the Hawking-like temperature has been calculated. On the other hand, in the Hamilton–Jacobi formulation, quantum corrections have been incorporated by solving the Klein–Gordon wave equation. In both the approaches, the temperature agrees at the semiclassical level. Full article
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
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