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Context: Discrete symmetries have found numerous applications in photonics and quantum mechanics, but remain little studied in fluid mechanics, particularly in astrophysics. Aims: We aim to show how PT and anti-PT symmetries determine the…

Solar and Stellar Astrophysics · Physics 2024-09-25 Armand Leclerc , Guillaume Laibe , Nicolas Perez

A method of Parity-Time (PT)-symmetry analysis is introduced to study the high dimensional, complicated parameter space of drift wave instabilities. We show that spontaneous PT-symmetry breaking leads to the Ion Temperature Gradient (ITG)…

Plasma Physics · Physics 2021-08-04 Hong Qin , Yichen Fu , Alexander S. Glasser , Asher Yahalom

In understanding the world of matter, the introduction of symmetry principles following experimentation or using the predictive power of symmetry principles to guide experimentation is most profound. The conservation of energy, linear…

High Energy Physics - Phenomenology · Physics 2015-06-25 Willem T. H. van Oers

Parity-Time (PT)-symmetry is being actively investigated as a fundamental property of observables in quantum physics. We show that the governing equations of the classical two-fluid interaction and the incompressible fluid system are…

Fluid Dynamics · Physics 2024-11-05 Hong Qin , Ruili Zhang , Alexander S. Glasser , Jianyuan Xiao

This two-part article considers certain fundamental symmetries of nature, namely the discrete symmetries of parity (P), charge conjugation (C) and time reversal (T), and their possible violation. Recent experimental results are discussed in…

Popular Physics · Physics 2007-05-23 B. Ananthanarayan , J. Meeraa , Bharti Sharma , Seema Sharma , Ritesh K. Singh

We examine the hydrodynamics of systems with spontaneously broken multipolar symmetries using a systematic effective field theory. We focus on the simplest non-trivial setting: a system with charge and dipole symmetry, but without momentum…

Statistical Mechanics · Physics 2023-12-12 Charles Stahl , Marvin Qi , Paolo Glorioso , Andrew Lucas , Rahul Nandkishore

Crystalline membranes are one of the rare examples of bidimensional systems in which long-range order can stabilise an ordered phase in the thermodynamic limit. By a careful analysis of the Goldstone modes counting, we propose a symmetry…

Statistical Mechanics · Physics 2019-09-11 O. Coquand

Symmetry properties of densities and mean fields appearing in the nuclear Density Functional Theory with pairing are studied. We consider energy functionals that depend only on local densities and their derivatives. The most important…

Nuclear Theory · Physics 2010-04-06 S. G. Rohozinski , J. Dobaczewski , W. Nazarewicz

Continuous time-translation symmetry is often spontaneously broken in open quantum systems, and the condition for their emergence has been actively investigated. However, there are only a few cases in which its condition for appearance has…

Quantum Physics · Physics 2025-02-10 Yuma Nakanishi , Ryo Hanai , Tomohiro Sasamoto

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

There exist inherent mechanisms of spontaneous breaking of local mirror symmetry (parity) in fluid turbulence. A good example is Kerr's mechanism based on the inviscid vortex interactions. Such interactions can result in the appearance of…

Fluid Dynamics · Physics 2022-07-20 A. Bershadskii

Parity-time-reversal symmetry ($\mathcal{PT}$ symmetry), a symmetry for the combined operations of space inversion ($\mathcal{P}$) and time reversal ($\mathcal{T}$), is a fundamental concept of physics and characterizes the functionality of…

Materials Science · Physics 2024-06-21 Hikaru Watanabe , Youichi Yanase

Symmetry breaking induced by untwisted fermions in QED in a nonsimply connected spacetime with topology $S^{1}\times R^{3}$ is investigated. It is found that the discrete CPT symmetry of the theory is spontaneously broken by the appearance…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. J. Ferrer , V. de la Incera , A. Romeo

Classical gravity coupled to a CFT$_4$ (matter) is considered. The effect of the quantum dynamics of matter on gravity is studied around maximally symmetric spaces (flat, de Sitter and Anti de Sitter). The structure of the graviton…

General Relativity and Quantum Cosmology · Physics 2023-12-11 Jewel K. Ghosh , Elias Kiritsis , Francesco Nitti , Valentin Nourry

Optical instabilities in moving media are linked to a spontaneous parity-time symmetry breaking of the system. It is shown that in general the time evolution of the electromagnetic waves in moving media is determined by a non-Hermitian…

Optics · Physics 2015-06-19 M. G. Silveirinha

The issue of symmetry and symmetry breaking is fundamental in all areas of science. Symmetry is often assimilated to order and beauty while symmetry breaking is the source of many interesting phenomena such as phase transitions,…

Analysis of PDEs · Mathematics 2017-12-01 Jean Dolbeault , Maria J. Esteban , Michael Loss , Maria Esteban

The crucial role of hydrodynamic pinch-off instabilities is evidenced in the coarsening stage of viscous liquids. The phase separation of a barium borosilicate glass melt is studied by in-situ synchrotron X-Ray tomography at high…

Soft Condensed Matter · Physics 2016-10-05 David Bouttes , Emmanuelle Gouillart , Damien Vandembroucq

Non-Hermitian parity-time ($\mathcal{PT}$) and anti-parity-time ($\mathcal{APT}$)-symmetric systems exhibit novel quantum properties and have attracted increasing interest. Although many counterintuitive phenomena in $\mathcal{PT}$- and…

With perfectly balanced gain and loss, dynamical systems with indefinite damping can obey the exact PT-symmetry being marginally stable with a pure imaginary spectrum. At an exceptional point where the symmetry is spontaneously broken, the…

Mathematical Physics · Physics 2012-03-09 Oleg N. Kirillov

Spontaneous symmetry breaking is a cornerstone of modern physics, defining a wealth of phenomena in condensed-matter and high-energy physics, and beyond. It requires an infinite number of degrees of freedom, and even then, for continuous…

Disordered Systems and Neural Networks · Physics 2026-04-10 Oleg Evnin
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