Applications Based on Symmetry/Asymmetry in Quantum Mechanics

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

Deadline for manuscript submissions: 31 January 2026 | Viewed by 862

Special Issue Editor


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Guest Editor
LyRIDS, ECE-Paris, Graduate School of Engineering, Paris, France
Interests: quantum mechanics; quantum chemistry; physical chemistry; laser; optics; quantum optics; nonlinear optics; optical physics

Special Issue Information

Dear Colleagues,

Symmetry and asymmetry are crucial in quantum mechanics, as they define the properties and behaviors of quantum systems in a variety of physical domains. Symmetry plays a critical role in fields such as quantum control, quantum information, quantum sensing, quantum theory and quantum thermodynamics. Moreover, symmetry-protected topological phases and symmetry-breaking transitions are vital in understanding complex quantum phenomena. In fact, symmetry operations can provide insights into quantum coherence, entanglement, and quantum phase transitions. On the contrary, asymmetry often leads to interesting new effects, such as non-reciprocal transport, directional energy flow and increased sensitivity in quantum metrology. Symmetry can also be utilized in quantum optics, which is used to design photonic circuits.

This Special Issue, entitled “Applications Based on Symmetry/Asymmetry in Quantum Mechanics”, welcomes contributions that present theoretical advances, practical experiments, and computational techniques related to symmetry and asymmetry in quantum systems. The scope of this Special Issue includes, but is not limited to, the following topics: symmetry-driven quantum control, quantum machine learning, the preparation of quantum states, quantum gates, and energy conservation in isolated and open quantum systems. We also welcome the submission of studies that explore symmetry-breaking phenomena and their impact on quantum technologies. The aim of this Special Issue is to advance our understanding of symmetry/asymmetry in quantum mechanics and their application in various fields.

Dr. Amine Jaouadi
Guest Editor

Manuscript Submission Information

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Keywords

  • quantum symmetry and asymmetry
  • symmetry breaking
  • symmetry-driven quantum control
  • quantum coherence
  • quantum information and quantum gates
  • quantum sensing
  • quantum communication
  • quantum machine learning

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Published Papers (1 paper)

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Research

18 pages, 18516 KiB  
Article
Symmetry-Driven Multi-Soliton Dynamics in Bose–Einstein Condensates in Reduced Dimensions
by Laurent Delisle and Amine Jaouadi
Symmetry 2025, 17(4), 582; https://doi.org/10.3390/sym17040582 - 11 Apr 2025
Viewed by 660
Abstract
We present a theoretical and numerical study of soliton formation and dynamics in a Bose–Einstein condensate (BEC) confined within a symmetric harmonic trap, subjected to an external barrier potential. Our investigation focuses on the role of symmetry in the system, particularly highlighting how [...] Read more.
We present a theoretical and numerical study of soliton formation and dynamics in a Bose–Einstein condensate (BEC) confined within a symmetric harmonic trap, subjected to an external barrier potential. Our investigation focuses on the role of symmetry in the system, particularly highlighting how the interplay between the harmonic confinement and the barrier shape governs the generation and evolution of multi-soliton states. Employing a reduction of the 3D Gross–Pitaevskii equation to lower-dimensional regimes, we analyze the behavior of dark solitons in 2D and 1D configurations using, for the former, exact solutions constructed from the Hirota’s bilinear formalism. We observe that the number of generated solitons exhibits a plateau-like dependence on the height of the potential barrier, reflecting the system’s symmetry and nonlinearity. Furthermore, we break the central symmetry by translating the barrier, leading to asymmetrical soliton patterns and novel dynamical behaviors. These findings underline the fundamental role of symmetry in the formation and stability of solitons in confined quantum gases, offering new perspectives on soliton engineering in trapped BECs. Full article
(This article belongs to the Special Issue Applications Based on Symmetry/Asymmetry in Quantum Mechanics)
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