In mathematics and physics, solitons, topological solitons and topological defects are three closely related ideas, all of which signify structures in...

imperfect. Several types of defects are often characterized: point defects, line defects, planar defects, bulk defects. Topological homotopy establishes a...

mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants. While...

physics, topological order is a kind of order in the zero-temperature phase of matter (also known as quantum matter). Macroscopically, topological order...

Cosmic strings are hypothetical 1-dimensional topological defects which may have formed during a symmetry-breaking phase transition in the early universe...

processors, the first used a toric code with twist defects as a topological degenerancy (or topological defect) while the second used a different but related...

due to topological considerations. Most commonly, topological quantum numbers are topological invariants associated with topological defects or soliton-type...

translation to general systems of partial differential equations A topological defect, a generalization of the idea of a soliton to any system which is...

the magnetic moment of an atomic nucleus Topological dipole moment, the measure of the topological defect charge distribution The first order term (or...

quantum field theory, a non-topological soliton (NTS) is a soliton field configuration possessing, contrary to a topological one, a conserved Noether charge...

situation with topological defects (such as vortices, dislocations, holes in 2D sample, ends of a 1D sample, etc.), where the topological degeneracy depends...

state. So the topological entanglement entropy links topological order with pattern of long range quantum entanglements. Given a topologically ordered state...

the first to describe the Higgs mechanism, and for his research on topological defects. From the 1950s he was concerned about the nuclear arms race and...

(KZM) describes the non-equilibrium dynamics and the formation of topological defects in a system which is driven through a continuous phase transition...

waves shorter than road roughness Texture (cosmology), a theoretical topological defect in the structure of spacetime Texture (crystalline), material's individual...

scaling Time scaling Phenomena described Examples Topological defect dimensions Topological defect described w = 1 {\displaystyle w=1} ρ ∝ a − 6 {\displaystyle...

many other consequences and phenomena. Vortices are an example of topological defect, and also occur in other situations. Quantized vortices are found...

dimensions, there are topological defects with topological charges +⁠1/2⁠ and -⁠1/2⁠. Due to hydrodynamics, the +⁠1/2⁠ defect moves considerably faster...

gravitational waves that would be detectable by LIGO and similar experiments. Topological defect Cosmic string Membrane (M-theory) Gravitational singularity Hearing...

physical quantity. In most cases, quantum vortices are a type of topological defect exhibited in superfluids and superconductors. The existence of quantum...

conduction within neurons as pressure solitons. A topological soliton, also called a topological defect, is any solution of a set of partial differential...

quantum phenomena Magnetic domain Magnetic monopole Quantum vortex Topological defect von Klitzing constant Dirac, Paul (1931). "Quantised Singularities...

topics List of topological invariants (topological properties) Publications in topology Quantum topology Topological defect Topological entropy in physics...

stenosis Cosmic string, a hypothetical 1-dimensional (spatially) topological defect in various fields Dirac string, a fictitious one-dimensional curve...

formation and movement of defects, primarily topological defects such as the Stone Wales defect or 5-7-7-5 defect. The 5-7-7-5 defect can also be thought of...

doi:10.1039/TF9383400678. Radzvilavicius, A.; Anisimovas, E. (2011). "Topological defect motifs in two-dimensional Coulomb clusters". Journal of Physics: Condensed...

Matrix-valued random variable Topological defect – Topologically stable solution of a partial differential equation. Topological quantum computing – Hypothetical...

In theoretical physics, topological string theory is a version of string theory. Topological string theory appeared in papers by theoretical physicists...

In cosmology, a texture is a type of topological defect in the order parameter (typically a scalar field) of a field theory featuring spontaneous symmetry...

demonstrated that a magnetic flux can penetrate a superconductor via a topological defect that has integer phase winding and carries quantized magnetic flux...