On the 100th anniversary of the birth of V.L. Ginzburg. Methodological notes

Dynamics of solitary waves in ultracold gases in terms of observable quantities

 a, b
a Kapitza Institute of Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117334, Russian Federation
b Dipartimento di Fisica, Università di Trento and BDC Center, Povo, Trento, I-38050, Italy

In recent years different solitary waves, like solitons, vortex rings, solitonic vortices, and more complicated, were predicted. They can move in superfluid ultracold gases along elongated traps. A theoretical description of the moving demands knowledge of two functions, the inertial mass of the soliton and the effective number of particles. They can be calculated on the basis of a microscopic theory. However, one can express them in the the terms of observable quantities - the phase increment and the depletion of number of particles in soliton. In this note a transparent derivation of the corresponding equations is suggested. The results are applied to the "magnetic soliton" in mixtures of Bose-gases in different spin states,which was predicted recently.

Fulltext is available at IOP
PACS: 03.75.Lm, 3.75.Kk, 67.85.De (all)
DOI: 10.3367/UFNe.2016.08.037891
Citation: Pitaevskii L P "Dynamics of solitary waves in ultracold gases in terms of observable quantities" Phys. Usp. 59 1028–1033 (2016)
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Received: 16th, August 2016, 21st, August 2016

Оригинал: Питаевский Л П «Динамика уединённых волн в ультрахолодных газах в терминах наблюдаемых величин» УФН 186 1127–1132 (2016); DOI: 10.3367/UFNr.2016.08.037891

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