Abstract
We report a stable magnetic domain wall in a uniform ferromagnetic spin-1 condensate, characterized by the magnetization having a dark soliton profile with nonvanishing superfluid density. We find exact stationary solutions for a particular ratio of interaction parameters with and without magnetic fields, and develop an accurate analytic solution applicable to the whole ferromagnetic phase. In the absence of magnetic fields, this domain wall relates various distinct solitary excitations in binary condensates through $\textrm{SO}(3)$ spin rotations, which otherwise are unconnected. Remarkably, studying the dynamics of a quasi-two-dimensional (quasi-2D) system we show that standing wave excitations of the domain wall oscillate without decay, being stable against the snake instability. The domain wall is dynamically unstable to modes that cause the magnetization to grow perpendicularly while leaving the domain wall unchanged. Real time dynamics in the presence of white noise reveals that this "spin twist" instability does not destroy the topological structure of the magnetic domain wall.
Highlights
A domain wall is a nonlinear excitation that interpolates between two different ground states, playing an important role in both equilibrium and out-of-equilibrium phase transitions with discrete symmetry breaking [1,2,3]
We present an analytic solution of a stable magnetic domain wall in a quasi-2D spin-1 ferromagnetic Bose-Einstein condensates (BECs), characterized by magnetization F having the typical profile of a dark soliton [Fig. 1(a)]: a π -phase jump crossing the domain wall and F = 0 at the center, breaking the Z2 symmetry
We found a novel magnetic domain wall in a quasi-2D ferromagnetic spin-1 BEC that is stable against the snake instability and white noise
Summary
A domain wall is a nonlinear excitation that interpolates between two different ground states, playing an important role in both equilibrium and out-of-equilibrium phase transitions with discrete symmetry breaking [1,2,3]. Thanks to the U(1) gauge symmetry and the rotational SO(3) symmetry, a spin-1 ferromagnetic BEC exhibits both superfluid and magnetic order quantified by the superfluid density and the magnetization [16,17,18,19,20], respectively. We present an analytic solution of a stable magnetic domain wall in a quasi-2D spin-1 ferromagnetic BEC, characterized by magnetization F having the typical profile of a dark soliton [Fig. 1(a)]: a π -phase (direction of F) jump crossing the domain wall and F = 0 at the center, breaking the Z2 symmetry. Excitations are found to be contained within our solution, unified by its symmetries
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
