Magnetic solitons in Rabi-coupled Bose-Einstein condensates

Abstract

We study magnetic solitons, solitary waves of spin polarization (i.e., magnetization), in binary Bose-Einstein condensates in the presence of Rabi coupling. We show that the system exhibits two types of magnetic solitons, called $2\pi$ and $0\pi$ solitons, characterized by a different behavior of the relative phase between the two spin components. $2\pi$ solitons exhibit a $2\pi$ jump of the relative phase, independent of their velocity, the static domain wall explored by Son and Stephanov being an example of such $2\pi$ solitons with vanishing velocity and magnetization. $0\pi$ solitons instead do not exhibit any asymptotic jump in the relative phase. Systematic results are provided for both types of solitons in uniform matter. Numerical calculations in the presence of a one-dimensional harmonic trap reveal that a $2\pi$ soliton evolves in time into a $0\pi$ soliton, and vice versa, oscillating around the center of the trap. Results for the effective mass, the Landau critical velocity, and the role of the transverse confinement are also discussed.

published version, 15 pages, 16 figures

References in corpus (7)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle
• Formation and Transformation of Vector-Solitons in Two-Species Bose-Einstein Condensates with Tunable Interaction
• Spin-Dipole Oscillation and Polarizability of a Binary Bose-Einstein Condensate near the Miscible-Immiscible Phase Transition
• Vortex dynamics in coherently coupled Bose-Einstein condensates
• Dynamics of solitary waves in ultracold gases in terms of observable quantities

Cited by in corpus (10)

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• Ultracold atomic spin mixtures in ultrastable magnetic field environments
• Absence of the breakdown of ferrodark solitons exhibiting a snake instability
• Binary superfluids: Low-energy properties and dissipative processes from spontaneous emission of massive phonons
• Spin Solitons in Spin-1 Bose-Einstein Condensates
• Nonuniversal equation of state for Rabi-coupled bosonic gases: a droplet phase
• Finite-temperature phase diagram and collective modes of coherently coupled Bose mixtures
• Phase domain walls in coherently driven Bose-Einstein condensates
• Magnetic soliton molecules in binary condensates
• Roton-mediated soliton bound states in binary dipolar condensates