Phase ordering percolation and an infinite domain wall in segregating binary Bose-Einstein condensates

Abstract

Percolation theory is applied to the phase-transition dynamics of domain pattern formation in segregating binary Bose--Einstein condensates in quasi-two-dimensional systems. Our finite-size-scaling analysis shows that the percolation threshold of the initial domain pattern emerging from the dynamic instability is close to 0.5 for strongly repulsive condensates. The percolation probability is universally described with a scaling function when the probability is rescaled by the characteristic domain size in the dynamic scaling regime of the phase-ordering kinetics, independent of the intercomponent interaction. It is revealed that an infinite domain wall sandwiched between percolating domains in the two condensates has an noninteger fractal dimension and keeps the scaling behavior during the dynamic scaling regime. This result seems to be in contrast to the argument that the dynamic scale invariance is violated in the presence of an infinite topological defect in numerical cosmology.

8 pages, 4 figures

References in corpus (5)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Spontaneous vortices in the formation of Bose-Einstein condensates
• Exact results for curvature-driven coarsening in two dimensions
• Coarsening dynamics of binary Bose condensates
• Spatially inhomogeneous phase evolution of a two-component Bose-Einstein condensate

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• Coarsening and percolation in the kinetic $2d$ Ising model with spin exchange updates and the voter model
• Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle
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• Phase separation and critical percolation in bidimensional spin-exchange models
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• Domain percolation in a quenched ferromagnetic spinor condensate
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• Excitations and phase ordering of the spin-stripe phase of a binary dipolar condensate
• Multifaceted phase ordering kinetics of an antiferromagnetic spin-1 condensate
• Dynamic scaling of vorticity in phase-separating superfluid mixtures