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Symmetry
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Symmetry and Nonlinearity in Optics
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Symmetry and Nonlinearity in Optics

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

Deadline for manuscript submissions: 31 May 2026 | Viewed by 2118

Special Issue Editors

Prof. Dr. Wiesław Leonski

E-Mail Website
Guest Editor
Institute of Physics, Univeristy of Zielona Góra, 65-516 Zielona Góra, Poland
Interests: quantum and nonlinear optics; quantum information theory; deterministic chaos; quantum chaos; cellular automata
Special Issues, Collections and Topics in MDPI journals
Dr. Joanna K. Kalaga

E-Mail Website
Guest Editor
Institute of Physics, Univeristy of Zielona Góra, 65-516 Zielona Góra, Poland
Interests: quantum optics; quantum information theory; quantum chaos; deterministic chaos
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Studying various branches of optics, one can find numerous examples of research concerning nonlinearities and symmetries. For instance, many papers have recently discussed such topics in the context of quantum information theory and quantum computing. On the other hand, the problems related to various optical systems and applications are strongly related to the symmetries hidden in such systems. For instance, previously, PT-symmetric models described by non-Hermitian Hamiltonians have been the subject of many papers. As this Special Issue is also devoted to nonlinearities, it should be mentioned at this point that numerous studies in the field of optics are devoted to nonlinear optical effects. Moreover, as we turn to the nonlinearities in optical systems, the problems related to classical and quantum chaos are discussed in numerous works.

We cordially invite all colleagues involved in optical research to submit their original and high-quality contributions that will inspire further research in the field of nonlinearities and symmetries in optics. All kinds of articles—theoretical, experimental, and those concerning applications—are welcome,  covering a broad range of topics within various fields of optics.

Prof. Dr. Wiesław Leonski
Dr. Joanna K. Kalaga
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

  • classical optics
  • quantum optics
  • nonlinear optics
  • symmetry
  • PT-symmetry
  • non-Hermitian systems
  • nonlinear systems
  • nonlinear processes
  • quantum correlations
  • quantum technologies
  • classical chaos
  • quantum chaos

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Published Papers (2 papers)

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20 pages, 790 KB  
Article
Electro-Optical Properties of Excitons in CdSe Nanoplatelets
by Gerard Czajkowski
Symmetry 2026, 18(2), 386; https://doi.org/10.3390/sym18020386 - 22 Feb 2026
Viewed by 570
Abstract
Applying a constant external electric field to a semiconductor nanostructure with Wannier–Mott excitons, in which the electron and hole interact via a centrally symmetric Coulomb potential, alters the symmetry of the system. When the electric field is applied parallel to the z-axis, [...] Read more.
Applying a constant external electric field to a semiconductor nanostructure with Wannier–Mott excitons, in which the electron and hole interact via a centrally symmetric Coulomb potential, alters the symmetry of the system. When the electric field is applied parallel to the z-axis, the system exhibits cylindrical symmetry; when the field lies in the x−y plane, the symmetry is broken. These symmetry changes affect the optical properties of the system. We present a theoretical calculation that yields analytical expressions for the optical functions of CdSe Nanoplatelets—reflectivity, transmissivity, and the absorption coefficient—in an external homogeneous electric field. From these, we focus on the absorption coefficient. We consider various configurations, with the external field oriented perpendicular and parallel to the platelet planes. Using the real density matrix approach, we calculate the linear electro-optical functions of CdSe nanoplatelets, taking into account the effect of dielectric confinement on excitonic states. We also discuss the impact of platelet geometry (thickness and lateral dimensions) and applied field strength on the spectrum. Full article
(This article belongs to the Special Issue Symmetry and Nonlinearity in Optics)
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24 pages, 1452 KB  
Article
Nonreciprocal Flow of Fluctuations, Populations and Correlations Between Doubly Coupled Bosonic Modes
by Zbigniew Ficek
Symmetry 2026, 18(2), 214; https://doi.org/10.3390/sym18020214 - 23 Jan 2026
Viewed by 539
Abstract
Interesting new correlations and unidirectional properties of two bosonic modes under the influence of the environment appear when the modes are mutually coupled through the simultaneously applied linear mode-hopping and nonlinear squeezing interactions. Under such double coupling, it is found that while the [...] Read more.
Interesting new correlations and unidirectional properties of two bosonic modes under the influence of the environment appear when the modes are mutually coupled through the simultaneously applied linear mode-hopping and nonlinear squeezing interactions. Under such double coupling, it is found that while the Hamiltonian of the system is clearly Hermitian, the dynamics of the quadrature components of the field operators can be attributed to the non-Hermicity of the system. This manifests through an asymmetric coupling between the quadrature components, which then leads to a variety of remarkable features. In particular, we identify how the emerging exceptional point controls the conversion of thermal states of the modes into single-mode classically or quantum-squeezed states. Furthermore, for reservoirs in squeezed states, we find that the two-photon correlations present in these reservoirs are responsible for unidirectional flow of populations and correlations among the modes and the flow can be controlled by appropriate tuning of the mutual orientation of the squeezed noise ellipses. In the course of analyzing these effects, we find that the flow of the population creates the first-order coherence between the modes which, on the other hand, rules out an enhancement of the two photon correlations responsible for entanglement between the modes. These results suggest new alternatives for the creation of single-mode squeezed fields and the potential applications for the controlled unidirectional transfer of population and correlations in bosonic chains. Full article
(This article belongs to the Special Issue Symmetry and Nonlinearity in Optics)
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