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Quantum Nonstationary Systems—Second Edition

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

Deadline for manuscript submissions: 15 October 2025 | Viewed by 272

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Instituto de Física e Centro Internacional de Física, Universidade de Brasília, Caixa Postal 04455, Brasília 70910-900, DF, Brazil
Interests: quantum physics; cavity electrodynamics; quantum closed and open systems with time-dependent parameters; uncertainty relations in quantum mechanics; nonclassical states of light in quantum optics
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Special Issue Information

Dear Colleagues,

Although time-dependent quantum systems have been studied since the very beginning of quantum mechanics, they continue to attract the attention of researchers, and almost every decade new important discoveries or new fields of application were made. Today, we are witnessing a new wave of interest in quantum non-stationary systems in different areas, ranging from cosmology (the very first moments of the Universe) and quantum field theory (particle pair creation in ultra-strong fields) to elementary particle physics (neutrino oscillations). A rapid increase in the number of theoretical and experimental works discussing time-dependent phenomena is also observed in quantum optics, quantum information theory and condensed matter physics. Time-dependent tunnelling and time-dependent transport in nano-structures are examples of such phenomena. Another emerging direction of study, stimulated by impressive progress in experimental techniques, is related to attempts to observe the quantum behavior of macroscopic objects, such as mirrors interacting with quantum fields in nano-resonators. Quantum effects manifest themselves in the dynamics of nano-electromechanical systems; they are dominant in the field of circuit QED. Another rapidly growing research field is the quantum control of evolution at the microscopic level. These examples show that quantum non-stationary systems continue to be an important part of quantum physics.

Current progress in the areas mentioned above was demonstrated in the 10 papers recently published in the Special Issue of Entropy entitled "Quantum Nonstationary Systems"—see the link below for more information: https://www.mdpi.com/journal/entropy/special_issues/nonstationary.

Now, we invite researchers to submit contributions to the second edition of this Special Issue.

Topics of primary interest include (but are not limited to) the following:

  • Dynamics of quantum systems in the presence of dissipation;
  • Dynamics of decoherence and thermalization;
  • Dynamics of quantum entanglement;
  • Dynamics of optomechanical systems;
  • Dynamical Casimir effect and its analogs;
  • Dynamics of wave packets;
  • Time-dependent scattering and tunnelling;
  • Quantum speed limits and energy-time uncertainty relations;
  • Quantum effects in nonstationary environments;
  • Quantum invariants in systems with time-dependent parameters;
  • Exact and approximate solutions in quantum mechanics with time-dependent parameters;
  • Quantum heat engines.

Prof. Dr. Viktor Dodonov
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 submissions that pass pre-check are 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 2600 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

  • quantum nonstationary systems
  • quantum dissipative systems
  • quantum entanglement
  • dynamics of decoherence and thermalization
  • dynamical Casimir effect
  • time-dependent quantum systems
  • time-dependent phenomena
  • quantum speed limits
  • energy-time uncertainty relations
  • quantum heat engines

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Published Papers (1 paper)

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Research

23 pages, 1158 KiB  
Article
Quantum Exact Response Theory Based on the Dissipation Function
by Enrico Greppi and Lamberto Rondoni
Entropy 2025, 27(5), 527; https://doi.org/10.3390/e27050527 - 15 May 2025
Viewed by 61
Abstract
The exact response theory based on the Dissipation Function applies to general dynamical systems and has yielded excellent results in various applications. In this article, we propose a method to apply it to quantum mechanics. In many quantum systems, it has not yet [...] Read more.
The exact response theory based on the Dissipation Function applies to general dynamical systems and has yielded excellent results in various applications. In this article, we propose a method to apply it to quantum mechanics. In many quantum systems, it has not yet been possible to overcome the perturbative approach, and the most developed theory is the linear one. Extensions of the exact response theory developed in the field of nonequilibrium molecular dynamics could prove useful in quantum mechanics, as perturbations of small systems or far-from-equilibrium states cannot always be taken as small perturbations. Here, we introduce a quantum analogue of the classical Dissipation Function. We then derive a quantum expression for the exact calculation of time-dependent expectation values of observables, in a form analogous to that of the classical theory. We restrict our analysis to finite-dimensional Hilbert spaces, for the sake of simplicity, and we apply our method to specific examples, like qubit systems, for which exact results can be obtained by standard techniques. This way, we prove the consistency of our approach with the existing methods, where they apply. Although not required for open systems, we propose a self-adjoint version of our Dissipation Operator, obtaining a second equivalent expression of response, where the contribution of an anti-self-adjoint operator appears. We conclude by using new formalism to solve the Lindblad equations, obtaining exact results for a specific case of qubit decoherence, and suggesting possible future developments of this work. Full article
(This article belongs to the Special Issue Quantum Nonstationary Systems—Second Edition)
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