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

Abstract

A variety of solitary waves, such as solitons, vortex rings, solitonic vortices, and more complex entities, have recently been predicted to exist. They can move in superfluid ultracold gases along elongated traps. The theoretical description of this motion requires knowledge of the inertial soliton mass and the effective number of particles in it as functions of the soliton energy. While these functions can be calculated by a microscopic theory, it is also possible to express them directly in terms of observable quantities, such as the order parameter phase jump and the particle number depletion in the soliton. In this article, the corresponding equations are derived in a simple and physically clear way and applied to the recently predicted `magnetic soliton' in mixtures of Bose gases in various spin states.

arXiv comment7 pages. Published in the special October 2016 issue of Uspekhi Fizicheskikh Nauk [Physics-Uspekhi] journal on the occasion of the 100th anniversary of the birth of V. L. Ginzburg

References in corpus (8)

• Motion of dark solitons in trapped Bose-Einstein condensates
• Landau dynamics of a grey soliton in a trapped condensate
• Svortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate
• Magnetic Solitons in a Binary Bose-Einstein Condensate
• The dynamics of dark solitons in a trapped superfluid Fermi gas
• Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
• Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
• On the momentum of solitons and vortex rings in a superfluid

Cited by in corpus (6)

• Magnetic solitons in Rabi-coupled Bose-Einstein condensates
• Supersolidity of cnoidal waves in an ultracold Bose gas
• Motion of dark solitons in a non-uniform flow of Bose-Einstein condensate
• Oscillating Solitons and AC Josephson Effect in Ferromagnetic Bose-Bose Mixtures
• A direct derivation of the dark soliton excitation energy
• Motion of ferrodark solitons in trapped superfluids: spin corrections and emergent oscillators