Explicit radial dependence in the scalar potential stabilizes topological solitons in higher-dimensional rotationally symmetric backgrounds, enabling exact solutions via shared target-space orbits and a geometry-encoding map to one-dimensional BPS theory.
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For algebraic quenches in the 1D TFIM, the longitudinal kink-kink correlator depends only on the KZ length for superlinear cases and otherwise needs a dephasing length, decaying as a compressed exponential with exponent varying continuously with the quench exponent.
The negligible contribution of internal structure in smaller domains to statistical quantities like area, wall length, and circulation is analytically justified by the dynamic scaling law in 2D Z2 coarsening.
citing papers explorer
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Topological solitons of two-field scalar theories in rotationally symmetric backgrounds
Explicit radial dependence in the scalar potential stabilizes topological solitons in higher-dimensional rotationally symmetric backgrounds, enabling exact solutions via shared target-space orbits and a geometry-encoding map to one-dimensional BPS theory.
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Kink-kink correlations in nonlinear quenches across a quantum critical point
For algebraic quenches in the 1D TFIM, the longitudinal kink-kink correlator depends only on the KZ length for superlinear cases and otherwise needs a dephasing length, decaying as a compressed exponential with exponent varying continuously with the quench exponent.
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On internal structure of smaller domains in domain coarsening dynamics of spontaneous Z_2-symmetry breaking in two dimensions
The negligible contribution of internal structure in smaller domains to statistical quantities like area, wall length, and circulation is analytically justified by the dynamic scaling law in 2D Z2 coarsening.