Transverse instability and disintegration of domain wall of relative phase in coherently coupled two-component Bose-Einstein condensates

Abstract

We study transverse instability and disintegration dynamics of a domain wall of a relative phase in two-component Bose-Einstein condensates with a coherent Rabi coupling. We obtain analytically the stability phase diagram of the stationary solution of the domain wall for the one-dimensional coupled Gross-Pitaevskii equations in the plane of the Rabi frequency and the intercomponent coupling constant. Outside the stable region, the domain wall is dynamically unstable for the transverse modulation along the direction perpendicular to the phase kink. The nonlinear evolution associated with the instability is demonstrated through numerical simulations for both the domain wall without edges and that with edges formed by the quantized vortices.

9 pages, 6 figures

References in corpus (8)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Magnetic solitons in Rabi-coupled Bose-Einstein condensates
• Confinement of Half-quantized Vortices in Coherently Coupled Bose-Einstein Condensates: Simulating Quark Confinement in QCD
• Vortex dynamics in coherently coupled Bose-Einstein condensates
• Bound vortex states and exotic lattices in multi-component Bose-Einstein condensates: The role of vortex-vortex interaction
• Infinite Lattices of Vortex Molecules in Rabi-Coupled Condensates
• Mesoscopics of half-quantum vortex pair deconfinement in a trapped spin-one condensate

Cited by in corpus (14)

• Coherently Coupled Mixtures of Bose-Einstein Condensed Gases
• Design and characterisation of a compact magnetic shield for ultracold atomic gas experiments
• Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate
• Decay of the relative phase domain wall into confined vortex pairs: the case of a coherently coupled bosonic mixture
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Dark soliton-like magnetic domain walls in a two-dimensional ferromagnetic superfluid
• Propagating Ferrodark Solitons in a Superfluid: Exact Solutions and Anomalous Dynamics
• Rotational pendulum dynamics of a vortex molecule in a channel geometry
• Superfluidity breakdown of Rabi-coupled two-component Bose-Einstein condensates in optical lattices
• Absence of the breakdown of ferrodark solitons exhibiting a snake instability
• Finite-temperature phase diagram and collective modes of coherently coupled Bose mixtures
• Parity breakdown, vortices, and dark soliton states in a Bose gas of resonantly excited polaritons
• Phase domain walls in coherently driven Bose-Einstein condensates
• Distributed vorticity model for vortex molecule dynamics