We give the physical interpretation of such walls. We show that the wall tension determines the force between certain pairs of vortices at large distances. We also show that the probability of the spontaneous decay of the domain wall is exponentially suppressed, both at finite and at zero temperature, and determine the exponents in the regime of small Rabi frequency. We briefly discuss how such domain walls could be created in future experiments.

DOI: 10.1103/physreva.65.063621

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2\ensuremath{\pi}.

(\mathbb{Z}_2)

. Domain walls form with time even when the initial state of the system is uniform or completely disordered; they fall into different topological types distinguished by the total phase variation in the transverse direction. One type of domain walls is similar to ``magnetic'' solitons in Bose-Einstein condensates and exhibits nonzero spin polarization whose sign depends on the direction of motion. Domain walls of the second type, by contrast, behave like monopoles with broken spatiotemporal symmetry and tend to move in certain preferred directions. The interaction of vortices and domain walls results in a long-range ordering of the system.