Transverse instability and disintegration of a domain wall of a 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.

Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate

“…It should be mentioned that similar composite objects are investigated experimentally as the spin-mass vortex attached by a planar soliton in 3 He-B [73,74] and theoretically as the vortex molecules in Rabi-coupled binary BECs [49][50][51][52][75][76][77][78][79]. Interestingly, the confinement of vortices by domain walls is considered a toy model of the quark-confinement problem [49].…”

Coherently Coupled Mixtures of Bose-Einstein Condensed Gases

“…Under the assumption Ω, gssn g dd n the critical value takes the simple expression Ωc = ngss/3 (48). The stability of the domain wall is the consequence of the positiveness of its effective mass (53,54) whose dependence on the Rabi coupling is shown in Fig. 3 b).…”

Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate

“…The logics and analyses here can be applied in a similar way to the double-core vortex or the KLSwall-HQV composite in superfluid 3 He-B, while different forms of the hydrodynamic potential and soliton tension were introduced [63]. It should be mentioned that similar objects are observed as the spin-mass vortex attached by a planar soliton in superfluid 3 He [64,65] and has been investigated theoretically as the vortex molecules in Rabi-coupled binary BECs [66][67][68][69][70][71][72][73][74]. Further investigations on the dynamics and interactions of the wall-HQV composites will shed light on unexplored phenomena of symmetry breaking phase transitions.…”