Special Issue "Quantum Dynamics with Non-Hermitian Hamiltonians"

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

Deadline for manuscript submissions: 31 March 2020.

Special Issue Editor

Prof. Dr. Alessandro Sergi
E-Mail Website
Guest Editor
Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, viale F. Stagno d'Alcontres 31, 98166 Messina, Italy
Interests: non-Hermitian quantum mechanics; quantum-classical hybrid systems; non-Hamiltonian systems; open quantum systems; superfluid vacuum theory; action-at-a-distance classical and quantum theories; emergent quantum gravity; dark energy; analogue gravity phenomenology
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Special Issue Information

Dear Colleagues,

Non-Hermitian quantum dynamics is a topic in theoretical physics that, in recent years, has enjoyed a thriving time of exceptional development. Since its first steps, from being found in Landau’s comments about wave functions scattering to infinity and in Gamow’s description of quantum tunneling, this area of research has reached an advanced state of formalization where its applications range from chemical and condensed matter systems to optics, quantum field theory, and cosmology. Non-Hermitian quantum dynamics addresses open quantum systems from a unique and advantageous perspective; hence, it is as ubiquitous as open quantum systems are. Despite its successes, many questions fundamental in nature remain open for investigation, and the list of its possible applications continues to grow. The target of this Special Issue is to show the great effectiveness of non-Hermitian formulations of quantum dynamics as a tool to investigate, for example, resonances, topological systems, quantum transport, exceptional points, nuclear phenomena, optics and photonics, relativistic quantum processes, quantum fields, and cosmology, to name a few. Papers dealing with the above topics, and non-Hermitian quantum dynamics in general, are welcome to this Special Issue whose broad scope is to reflect both the quick development of the field and its potential for further growth.

Prof. Dr. Alessandro Sergi
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • non-Hermitian quantum dynamics
  • non-Hermitian Hamiltonians
  • non-Hermitian quantum field theory
  • open quantum systems
  • resonances
  • topological systems
  • relativistic dynamics
  • cosmology

Published Papers (2 papers)

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Research

Open AccessArticle
Control of the Geometric Phase in Two Open Qubit–Cavity Systems Linked by a Waveguide
Entropy 2020, 22(1), 85; https://doi.org/10.3390/e22010085 - 10 Jan 2020
Abstract
We explore the geometric phase in a system of two non-interacting qubits embedded in two separated open cavities linked via an optical fiber and leaking photons to the external environment. The dynamical behavior of the generated geometric phase is investigated under the physical [...] Read more.
We explore the geometric phase in a system of two non-interacting qubits embedded in two separated open cavities linked via an optical fiber and leaking photons to the external environment. The dynamical behavior of the generated geometric phase is investigated under the physical parameter effects of the coupling constants of both the qubit–cavity and the fiber–cavity interactions, the resonance/off-resonance qubit–field interactions, and the cavity dissipations. It is found that these the physical parameters lead to generating, disappearing and controlling the number and the shape (instantaneous/rectangular) of the geometric phase oscillations. Full article
(This article belongs to the Special Issue Quantum Dynamics with Non-Hermitian Hamiltonians)
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Open AccessArticle
Theory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics
Entropy 2020, 22(1), 80; https://doi.org/10.3390/e22010080 - 09 Jan 2020
Abstract
Non-Hermitian quantum-Hamiltonian-candidate combination Hλ of a non-Hermitian unperturbed operator H=H0 with an arbitrary “small” non-Hermitian perturbation λW is given a mathematically consistent unitary-evolution interpretation. The formalism generalizes the conventional constructive Rayleigh–Schrödinger perturbation expansion technique. It is sufficiently general [...] Read more.
Non-Hermitian quantum-Hamiltonian-candidate combination H λ of a non-Hermitian unperturbed operator H = H 0 with an arbitrary “small” non-Hermitian perturbation λ W is given a mathematically consistent unitary-evolution interpretation. The formalism generalizes the conventional constructive Rayleigh–Schrödinger perturbation expansion technique. It is sufficiently general to take into account the well known formal ambiguity of reconstruction of the correct physical Hilbert space of states. The possibility of removal of the ambiguity via a complete, irreducible set of observables is also discussed. Full article
(This article belongs to the Special Issue Quantum Dynamics with Non-Hermitian Hamiltonians)

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.

1. Ali Mostafazadeh

2. Antonino Messina

3. Alessandro Sergi

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