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Keywords = cold dilute bosonic gas

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10 pages, 323 KiB  
Article
Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
by Fernando Haas and Rodrigo Vidmar
Atoms 2022, 10(1), 28; https://doi.org/10.3390/atoms10010028 - 1 Mar 2022
Viewed by 2952
Abstract
The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear [...] Read more.
The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments. Full article
(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)
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