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Symmetry
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Symmetry and Asymmetry in Quantum Models
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Symmetry and Asymmetry in Quantum Models

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 March 2026) | Viewed by 2938

Special Issue Editors

Prof. Dr. Marek Góźdź

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Guest Editor
Institute of Computer Science, Maria Curie-Skłodowska University, 20-033 Lublin, Poland
Interests: foundations of quantum mechanics; neutrino properties; supersymmetric models
Dr. Wenxue Cui

E-Mail Website
Guest Editor
1. Department of Physics, College of Science, Yanbian University, Yanji 133002, China
2. Institute of Quantum Science and Technology, Yanbian University, Yanji 133002, China
Interests: quantum physics; quantum information; quantum optics; quantum control; quantum simulation
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Quantum mechanics has become a universal language for microscopic models, from elementary particles to nuclear, molecular, and solid state physics. The identification of the underlying symmetries of the system is directly connected with conservation laws. The symmetry breaking, on the other hand, indicates the existence of a characteristic energy scale, above which the system exhibits different properties. This Special Issue aims at collecting reports on theoretical works, including, but not limited to, topics such as

  • Symmetries in standard and exotic elementary particle models including neutrino masses and mixing in the Standard Model and beyond;
  • Symmetries in nuclear models;
  • Symmetries in solid state physics;
  • Symmetries in quantum mechanics including the time evolution of quantum systems, entanglement, and many-body interactions;
  • Symmetries in quantum information theory including the problem of measurement and the reversibility of qubit operations.

Prof. Dr. Marek Góźdź
Dr. Wenxue Cui
Guest Editors

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 250 words) can be sent to the Editorial Office for assessment.

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. Symmetry 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 2400 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

  • gauge field theory
  • symmetry breaking
  • nuclear symmetry
  • phase transition
  • entanglement
  • conservation law
  • quantum evolution
  • quantum information

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Published Papers (3 papers)

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Research

29 pages, 4566 KB  
Article
Post-Experimental Analysis of the Light-Harvesting Protein–Pigment Complex Present in Green Sulfur Bacteria: An Approach in Quantum Biology
by Francisco Delgado and Estela Delgado-Ceballos
Symmetry 2026, 18(2), 373; https://doi.org/10.3390/sym18020373 - 17 Feb 2026
Viewed by 605
Abstract
Quantum biology is a multidiscipline which analyses possible critical aspects of life that could be based on the macroscopic expression of quantum phenomena. The high efficiency of light energy harvesting in green sulfur bacteria during photosynthesis is associated with entanglement and tunneling effects [...] Read more.
Quantum biology is a multidiscipline which analyses possible critical aspects of life that could be based on the macroscopic expression of quantum phenomena. The high efficiency of light energy harvesting in green sulfur bacteria during photosynthesis is associated with entanglement and tunneling effects in the Fenna–Mathew–Olson complex. This has been studied to assess itscontribution, when conducting the light energy captured by the chlorosome, to the reaction center, where it is transformed into chemical energy. This work analyses, in the quantum domain, the coherence and entanglement between those two components associated with a general non-localized absorption spectrum in the pigments serving as input antennas. This study first imposes a more symmetric structure on the absorption spectrum, revealing certain relations which, when it is partially broken and parametrized on the most feasible pigments, displays a characteristic spectrum associated with the nature of the bacteria studied, in terms of their habitat and evolutionary survival. Finally, a brief insight analysis of similarities and differences in the protein sequence of the complex is conducted to trace possible traits relating them to some of the previous quantum features and suggesting some responsible positions within the FMO protein sequence. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Quantum Models)
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22 pages, 486 KB  
Article
Boson Models with Interactions of Arbitrary Order
by Piet Van Isacker
Symmetry 2026, 18(2), 348; https://doi.org/10.3390/sym18020348 - 13 Feb 2026
Viewed by 301
Abstract
The paper considers quantal many-boson systems that are described by a rotationally invariant and boson-number conserving Hamiltonian. The properties of a generic model are studied, which treats N bosons of p different kinds with non-zero angular momenta [...] Read more.
The paper considers quantal many-boson systems that are described by a rotationally invariant and boson-number conserving Hamiltonian. The properties of a generic model are studied, which treats N bosons of p different kinds with non-zero angular momenta ℓ1,ℓ2,…,ℓp, possibly augmented with a (number of) scalar s boson(s). The order k of the interaction between the bosons is arbitrary, and closed formulas are given for matrix elements between N-boson states for any k if p=1 and p=2. A recursive procedure is defined for arbitrary k and p. With the expressions derived in the paper, it is possible to express symbolically a Hamiltonian matrix element between N-boson states as a linear combination of k-body interaction matrix elements. More generally, the formulas allow the evaluation of matrix elements of tensor operators that are not necessarily scalar nor boson-number conserving. The numerical implementation of the formalism is discussed and illustrated with a few examples. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Quantum Models)
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17 pages, 321 KB  
Article
Symmetries of Multipartite Weyl Quantum Channels
by Dariusz Chruściński, Bihalan Bhattacharya and Saikat Patra
Symmetry 2025, 17(6), 943; https://doi.org/10.3390/sym17060943 - 13 Jun 2025
Viewed by 1195
Abstract
Quantum channels define key objects in quantum information theory. They are represented by completely positive trace-preserving linear maps in matrix algebras. We analyze a family of quantum channels defined through the use of the Weyl operators. Such channels provide generalization of the celebrated [...] Read more.
Quantum channels define key objects in quantum information theory. They are represented by completely positive trace-preserving linear maps in matrix algebras. We analyze a family of quantum channels defined through the use of the Weyl operators. Such channels provide generalization of the celebrated qubit Pauli channels. Moreover, they are covariant with respective to the finite group generated by Weyl operators. In what follows, we study self-adjoint Weyl channels by providing a special Hermitian representation. For a prime dimension of the corresponding Hilbert space, the self-adjoint Weyl channels contain well-known generalized Pauli channels as a special case. We propose multipartite generalization of Weyl channels. In particular, we analyze the power of prime dimensions using finite fields and study the covariance properties of these objects. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Quantum Models)
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