Dissipative Coherent Structures in Nonlinear and Quantum Optics: Outlook of Symmetry and Its Breaking

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

Deadline for manuscript submissions: closed (15 March 2024) | Viewed by 1585

Special Issue Editor


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Guest Editor
1. Dipartimento di Ingegneria dell'Informazione, Sapienza Università di Roma, Rome, Italy
2. Department of Physics, Norwegian University of Science and Technology, Høgskoleringen 5, Realfagbygget, NO-7491 Trondheim, Norway
Interests: theoretical laser physics; femtosecond pulse nonlinear optics; field theory; pure mathematics and mathematical physics; philosophy; philology and linguistics

Special Issue Information

Dear Colleagues,

The rapid advance in the study of multidimensional coherent patterns has an interdisciplinary character and bridges the different areas comprising biology and sociology, turbulence phenomena in plasma and hydrodynamics, nonlinear and quantum optics, solitonics, and self-organization phenomena in liquid crystals and Bose-Einstein condensates, and many other fields. That establishes close connections or analogies between micro and macroscale phenomena, in particular, unexpected insights into the quantum mechanics of open systems, field theory, and even cosmology. In photonics and Bose-Einstein condensate, such dissipative coherent structures could provide unprecedented energy (or mass) harvesting and a breakthrough in the information capacity of photonic networks, quantum computing, multimode microresonators mastering, and optical comb generation. Symmetry plays a fundamental role in all these phenomena. Paradoxically, the highly symmetrical coherent patterns can spontaneously emerge from a hierarchical symmetry breaking due to phase transitions and stochastic resonance. The striking examples are down-up structure formation in cosmology and spontaneous mode-locking in lasers. The robustness and “evolutionary advantage” of a coherent structure emergent in an open (in particular, dissipative or non-Hermitian) system is based on its symmetry properties. One could set as an example the PT – symmetry in nonlinear and quantum optics providing unprecedented stability of a spontaneously emergent coherent structure and bridging the classical and quantum phenomena.

The underlying intention of the Special Issue “Dissipative Coherent Structures in Nonlinear and Quantum Optics: Outlook of Symmetry and Its Breaking” is to collect the research articles and reviews on the study of symmetry-breaking and symmetry-emergent coherent structures in nonlinear and quantum optics and related fields which can be comprised by rapidly progressing analogical or metaphorical photonic-based modeling. Please note that all submitted papers must be within the general scope of the Symmetry journal.

Prof. Dr. Vladimir L. Kalashnikov 
Guest Editor

Manuscript Submission Information

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Keywords

  • solitons
  • coherent pattern formation
  • metaphorical modeling
  • symmetry breaking and phase transition phenomena
  • PT – symmetry in optics
  • stochastic resonance

Published Papers (1 paper)

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Research

21 pages, 4683 KiB  
Article
The Enhancement of Energy-Carrying Capacity in Liquid with Gas Bubbles, in Terms of Solitons
by Umair Asghar, Waqas Ali Faridi, Muhammad Imran Asjad and Sayed M. Eldin
Symmetry 2022, 14(11), 2294; https://doi.org/10.3390/sym14112294 - 02 Nov 2022
Cited by 10 | Viewed by 1179
Abstract
A generalized (3 + 1)-dimensional nonlinear wave is investigated, which defines many nonlinear phenomena in liquid containing gas bubbles. Basic theories of the natural phenomenons are usually described by nonlinear evolution equations, for example, nonlinear sciences, marine engineering, fluid dynamics, scientific applications, and [...] Read more.
A generalized (3 + 1)-dimensional nonlinear wave is investigated, which defines many nonlinear phenomena in liquid containing gas bubbles. Basic theories of the natural phenomenons are usually described by nonlinear evolution equations, for example, nonlinear sciences, marine engineering, fluid dynamics, scientific applications, and ocean plasma physics. The new extended algebraic method is applied to solve the model under consideration. Furthermore, the nonlinear model is converted into an ordinary differential equation through the next wave transformation. A well-known analytical approach is used to obtain more general solutions of different types with the help of Mathematica. Shock, singular, mixed-complex solitary-shock, mixed-singular, mixed-shock singular, mixed trigonometric, periodic, mixed-periodic, mixed-hyperbolic solutions are obtained. As a result, it is found that the energy-carrying capacity of liquid with gas bubbles and its propagation can be increased. The stability of the considered model is ensured by the modulation instability gain spectrum generated and proposed with acceptable constant values. Two-dimensional, three-dimensional, and contour surfaces are plotted to see the physical properties of the obtained solutions. Full article
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