Domain percolation in a quenched ferromagnetic spinor condensate

Abstract

We show that the easy-axis (EA) magnetic domains formed in a quenched ferromagnetic spinor condensate are described by percolation theory. We introduce a generalized spin rotation to vary the proportion of positive and negative EA domains, allowing us to explore domain percolation. Using simulations we investigate the finite-size scaling behaviour to extract the correlation length critical exponent and the transition point. We analyse the sensitivity of our results to the early-time dynamics of the system, the quadratic Zeeman energy, and the threshold condition used to define the positive (percolating) domains.

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Cited by in corpus (8)

• Flemish Strings of Magnetic Solitons and a Non-Thermal Fixed Point in a One-Dimensional Antiferromagnetic Spin-1 Bose Gas
• Coarsening and percolation in the kinetic $2d$ Ising model with spin exchange updates and the voter model
• Spin-Current Instability at a Magnetic Domain Wall in a Ferromagnetic Superfluid: a Generation Mechanism of Eccentric Fractional Skyrmions
• A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
• Metastable spin-phase diagrams in antiferromagnetic Bose-Einstein condensates
• Scale-invariant relaxation dynamics in two-component Bose-Einstein condensates with large particle-number imbalance
• Phase characterization of spinor Bose-Einstein condensates: a Majorana stellar representation approach
• Multifaceted phase ordering kinetics of an antiferromagnetic spin-1 condensate