The physics of spontaneous parity-time symmetry breaking in the Kelvin–Helmholtz instability

Fu, Yichen; Qin, Hong

doi:10.1088/1367-2630/aba38f

Cited by 21 publications

(16 citation statements)

References 32 publications

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“…For example, the kinetic effects of wave-particle interaction will play an essential role in the deposition of momentum carried by the TLCW. Other non-Hermitian [60] and non-linear [60][61][62] effects may also be important for topological waves in more complex fluid and plasma models [33,[63][64][65].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas

Fu¹,

Qin²

2022

Preprint

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Topological Langmuir-Cyclotron Wave (TLCW) is a recently identified topological surface excitation in magnetized plasmas. We show that TLCW originates from the topological phase transition at the Langmuir wave-cyclotron wave resonance. By isofrequency surface analysis and 2D and 3D time-dependent simulations, we demonstrate that the TLCW can propagate robustly along complex phase transition interfaces in a unidirectional manner and without scattering. Because of these desirable features, the TLCW could be explored as an effective mechanism to drive current and flow in magnetized plasmas. The analysis also establishes a close connection between the newly instituted topological phase classification of plasmas and the classical CMA diagram of plasma waves.

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Section: Conclusion and Discussionmentioning

confidence: 99%

The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas

Fu¹,

Qin²

2022

Preprint

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“…For instance, the magnetized cold plasma model studied here has a broken time-reversal symmetry, but the linearized ideal magnetohydrodynamics system is invariant under the (modified) time-reversal transformation 8 , despite the existence of an external magnetic field. Furthermore, the linear dynamics in many plasma models is expected be to non-Hermitian 35,36 , permitting unstable and damped eigenmodes. Applying the methods of topological phases for non-Hermitian systems 37,38 will bring more insights and discoveries in the study of plasma instabilities for laboratory and astrophysical plasmas.…”

Section: Discussionmentioning

confidence: 99%

Topological phases and bulk-edge correspondence of magnetized cold plasmas

Qin

2021

Nat Commun

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Plasmas have been recently studied as topological materials. However, a comprehensive picture of topological phases and topological phase transitions in cold magnetized plasmas is still missing. Here we systematically map out all the topological phases and establish the bulk-edge correspondence in cold magnetized plasmas. We find that for the linear eigenmodes, there are 10 topological phases in the parameter space of density n, magnetic field B, and parallel wavenumber kz, separated by the surfaces of Langmuir wave-L wave resonance, Langmuir wave-cyclotron wave resonance, and zero magnetic field. For fixed B and kz, only the phase transition at the Langmuir wave-cyclotron wave resonance corresponds to edge modes. A sufficient and necessary condition for the existence of this type of edge modes is given and verified by numerical solutions. We demonstrate that edge modes exist not only on a plasma-vacuum interface but also on more general plasma-plasma interfaces. This finding broadens the possible applications of these exotic excitations in space and laboratory plasmas.

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“…The bulk topology and the validity of the general bulk-edge correspondence in these regimes need to be further investigated. In particular, linear dynamics in these plasmas is expected be to non-Hermitian [25,26], permitting unstable and damped eigenmodes. Applying the methods of topological phases for non-Hermitian systems will bring new insights and discoveries in the study of plasma instabilities for laboratory and astrophysical plasmas.…”

Section: Bulk Dispersion Relation and Eigenmodes-followingmentioning

confidence: 99%

Topological phases, topological phase transition, and bulk-edge correspondence of magnetized cold plasmas

Qin

2021

Preprint

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Plasmas have been recently studied as topological materials. We attempt at a comprehensive picture of the topological phases and the bulk-edge correspondence of magnetized cold plasmas. We find that there are 10 topological phases in the parameter space of density n, magnetic field B, and parallel wavenumber k_z, separated by the surfaces of Langmuir wave-L wave resonance, Langmuir wave-cyclotron wave resonance, and zero magnetic field. For fixed B and k_z, only the phase transition at the Langmuir wave-cyclotron wave resonance corresponds to edge modes. A sufficient and necessary condition for the existence of this new type of edge modes is given and verified by numerical solutions. The edge modes fall into four categories characterized by different behaviors of the Fermi arcs. We demonstrate that edge modes exist not only on a plasma-vacuum interface but also on more general plasma-plasma interfaces. This finding broadens the possible applications of these exotic excitations in space and laboratory plasmas.

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The physics of spontaneous parity-time symmetry breaking in the Kelvin–Helmholtz instability

Cited by 21 publications

References 32 publications

The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas

The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas

Topological phases and bulk-edge correspondence of magnetized cold plasmas

Topological phases, topological phase transition, and bulk-edge correspondence of magnetized cold plasmas

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