Formation and Dynamics of Dark Solitons and Vortices in Quantum Electron Plasmas

Shukła, P. K.; Eliasson, Bengt

doi:10.1103/physrevlett.96.245001

Cited by 302 publications

(213 citation statements)

References 15 publications

(23 reference statements)

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“…As an example from quantum plasmas, stable vortices and dark solitons have been constructed for Schrödinger-Poisson quantum electron plasmas [23]. At quantum scales, the transport of information in ultracold micromechanical systems can be addressed by means of such nonlinear structures.…”

Section: Introductionmentioning

confidence: 99%

Variational approach for the quantum Zakharov system

Haas

2007

Physics of Plasmas

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The quantum Zakharov system is described in terms of a Lagrangian formalism. A time-dependent Gaussian trial function approach for the envelope electric field and the low-frequency part of the density fluctuation leads to a coupled, nonlinear system of ordinary differential equations. In the semiclassic case, linear stability analysis of this dynamical system shows a destabilizing rôle played by quantum effects. Arbitrary value of the quantum effects are also considered, yielding the ultimate destruction of the localized, Gaussian trial solution. Numerical simulations are shown both for the semiclassic and the full quantum cases.

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Section: Introductionmentioning

confidence: 99%

Variational approach for the quantum Zakharov system

Haas

2007

Physics of Plasmas

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“…Gr, 67.57.Lm There is currently a great deal of interest in investigating collective plasma modes [1,2,3,4,5,6,7,8] in quantum plasmas, as such plasmas could be of relevance in nano-scale electro-mechanical systems [9,10,11], in microplasmas and dense laser-plasmas [12], and laser interactions with atomic systems [13,14]. For example, Refs.…”

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confidence: 99%

Dynamics of Spin-12Quantum Plasmas

2007

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The fully nonlinear governing equations for spin 1 2 quantum plasmas are presented. Starting from the Pauli equation, the relevant plasma equations are derived, and it is shown that nontrivial quantum spin couplings arise, enabling studies of the combined collective and spin dynamics. The linear response of the quantum plasma in an electron-ion system is obtained and analyzed. Applications of the theory to solid state and astrophysical systems as well as dusty plasmas are pointed out.PACS numbers: 52.27.-h, 52.27. Gr, 67.57.Lm There is currently a great deal of interest in investigating collective plasma modes [1,2,3,4,5,6,7,8] in quantum plasmas, as such plasmas could be of relevance in nano-scale electro-mechanical systems [9,10,11], in microplasmas and dense laser-plasmas [12], and laser interactions with atomic systems [13,14]. For example, Refs.[1] and [3,4,5] used quantum transport models in order to derive modified dispersion relations for Langmuir and ion-acoustic waves, while Shukla & Stenflo [15] ionvestigated drift modes in nonuniform quantum magnetoplasmas. Moreover, it is known that cold quantum plasmas can support new dust modes [16,17]. In Ref.[8] it was shown that electron quantum plasmas could support highly stable dark solitons and vortices. Further examples of quantum plasmas and the range of validity of their descriptions has been discussed recently in Ref. [18]. The above studies of quantum plasmas have used models based on the Schrödinger description of the electron. It is expected that new and possible important effects could appear as further quantum effects are incorporated in models describing the quantum plasma particles. The coupling of spin to classical motion has attracted interest in the literature (see, e.g., [19,20,21,22,23,24,25,26,27,28,29,30,31]). Much work has been done concerning single particle spin effects in external field configurations, such as intense laser fields [22,23,24,25,26,27], and the possible experimental signatures thereof. However, there have also been interest in excitations of collective modes in spin systems, such as spin waves, in a wide scientific community. For example, in Refs. [19,20,21] hydrodynamical models including spin was presented, and further theory concerning spin, angular momentum, and the forces related to spin was discussed in Refs. [29] and [30]. Moreover, spin waves in spinor Bose condensates has recently been discussed in, e.g., Ref. [31]. The treatment of charged particles and plasmas using quantum theory has received attention in astrophysical settings, especially in strongly mag- * Electronic address: mattias.marklund@physics.umu.se † Electronic address: gert.brodin@physics.umu.se netized environments [32,33]. For example, effects of quantum field theory on the linear response of an electron gas has been analyzed [34], results concerning the spin-dependence of cyclotron decay on strong magnetic fields has been presented [35], and the propagation of quantum electrodynamical waves in strongly magnetized plasmas has been considered ...

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“…[6][7][8][9][10] In dense plasmas the degenerate electrons follow Fermi-Dirac statistics, and there are quantum tunneling [11][12][13][14][15][16] and spin [17][18][19][20] forces due to the spread in the electron probability wave function. The quantum statistical electron pressure and quantum Bohm forces produce wave dispersions at nanoscales.…”

Section: Introductionmentioning

confidence: 99%

“…The quantum statistical electron pressure and quantum Bohm forces produce wave dispersions at nanoscales. Accordingly, there has been a great deal of interest 12,13,16,[19][20][21][22][23] in investigating linear and nonlinear waves/structures at quantum scales in very dense quantum plasmas. The collective x-ray scattering measurements of plasmons in solid-density plasmas 8 reveal the signature of quantum effects ͑both statistical pressure and quantum Bohm force͒ on the dispersion of the modified electron plasma wave.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear electromagnetic wave equations for superdense magnetized plasmas

et al. 2009

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By using the quantum hydrodynamic and Maxwell equations, we derive the generalized nonlinear electron magnetohydrodynamic, the generalized nonlinear Hall-MHD ͑HMHD͒, and the generalized nonlinear dust HMHD equations in a self-gravitating dense magnetoplasma. Our nonlinear equations include the self-gravitating, the electromagnetic, the quantum statistical electron pressure, as well as the quantum electron tunneling and electron spin forces. They are useful for investigating a number of wave phenomena including linear and nonlinear electromagnetic waves, as well as three-dimensional electromagnetic wave turbulence spectra and structures arising from mode coupling processes at nanoscales in dense quantum magnetoplasmas.

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Formation and Dynamics of Dark Solitons and Vortices in Quantum Electron Plasmas

Cited by 302 publications

References 15 publications

Variational approach for the quantum Zakharov system

Variational approach for the quantum Zakharov system

Dynamics of Spin-12Quantum Plasmas

Nonlinear electromagnetic wave equations for superdense magnetized plasmas

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