Phase Diagram of Solitons in the Polar Phase of a Spin-1 Bose-Einstein Condensate

Abstract

We theoretically study the structure of a stationary soliton in the polar phase of spin-1 Bose--Einstein condensate in the presence of quadratic Zeeman effect at zero temperature. The phase diagram of such solitons is mapped out by finding the states of minimal soliton energy in the defining range of polar phase. The states are assorted into normal, anti-ferromagnetic, broken-axisymmetry, and ferromagnetic phases according to the number and spin densities in the core. The order of phase transitions between different solitons and the critical behaviour of relevant continuous transitions are proved within the mean-field theory.

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Cited by in corpus (11)

• Phase Diagram, Stability and Magnetic Properties of Nonlinear Excitations in Spinor Bose-Einstein Condensates
• Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate
• Magnetic soliton: from two to three components with SO(3) symmetry
• Spin-Current Instability at a Magnetic Domain Wall in a Ferromagnetic Superfluid: a Generation Mechanism of Eccentric Fractional Skyrmions
• Vortex depinning in a two-dimensional superfluid
• Stability and dynamics across magnetic phases of vortex-bright type excitations in spinor Bose-Einstein condensates
• One dimensional nexus objects, network of Kibble-Lazarides-Shafi string walls, and their spin dynamic response in polar distorted B-phase of ${}^3$He
• Vortex-bound solitons in topological superfluid ${}^3$He
• Phase diagram of vortices in the polar phase of spin-1 Bose-Einstein condensates
• Dynamics of a Pair of Overlapping Polar Bright Solitons in Spin-1 Bose-Einstein Condensates
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields