In mathematics and physics, solitons, topological solitons and topological defects are three closely related ideas, all of which signify structures in...
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imperfect. Several types of defects are often characterized: point defects, line defects, planar defects, bulk defects. Topological homotopy establishes a...
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mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants. While...
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physics, topological order is a kind of order in the zero-temperature phase of matter (also known as quantum matter). Macroscopically, topological order...
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Cosmic strings are hypothetical 1-dimensional topological defects which may have formed during a symmetry-breaking phase transition in the early universe...
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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...
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due to topological considerations. Most commonly, topological quantum numbers are topological invariants associated with topological defects or soliton-type...
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translation to general systems of partial differential equations A topological defect, a generalization of the idea of a soliton to any system which is...
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the magnetic moment of an atomic nucleus Topological dipole moment, the measure of the topological defect charge distribution The first order term (or...
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situation with topological defects (such as vortices, dislocations, holes in 2D sample, ends of a 1D sample, etc.), where the topological degeneracy depends...
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quantum field theory, a non-topological soliton (NTS) is a soliton field configuration possessing, contrary to a topological one, a conserved Noether charge...
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state. So the topological entanglement entropy links topological order with pattern of long range quantum entanglements. Given a topologically ordered state...
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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...
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(KZM) describes the non-equilibrium dynamics and the formation of topological defects in a system which is driven through a continuous phase transition...
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waves shorter than road roughness Texture (cosmology), a theoretical topological defect in the structure of spacetime Texture (crystalline), material's individual...
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scaling Time scaling Phenomena described Examples Topological defect dimensions Topological defect described w = 1 {\displaystyle w=1} ρ ∝ a − 6 {\displaystyle...
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many other consequences and phenomena. Vortices are an example of topological defect, and also occur in other situations. Quantized vortices are found...
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dimensions, there are topological defects with topological charges +1/2 and -1/2. Due to hydrodynamics, the +1/2 defect moves considerably faster...
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gravitational waves that would be detectable by LIGO and similar experiments. Topological defect Cosmic string Membrane (M-theory) Gravitational singularity Hearing...
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physical quantity. In most cases, quantum vortices are a type of topological defect exhibited in superfluids and superconductors. The existence of quantum...
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conduction within neurons as pressure solitons. A topological soliton, also called a topological defect, is any solution of a set of partial differential...
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In theoretical physics, topological string theory is a version of string theory. Topological string theory appeared in papers by theoretical physicists...
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quantum phenomena Magnetic domain Magnetic monopole Quantum vortex Topological defect von Klitzing constant Dirac, Paul (1931). "Quantised Singularities...
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Anyon (section Topological equivalence)
Matrix-valued random variable Topological defect – Topologically stable solution of a partial differential equation. Topological quantum computing – Hypothetical...
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stenosis Cosmic string, a hypothetical 1-dimensional (spatially) topological defect in various fields Dirac string, a fictitious one-dimensional curve...
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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...
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doi:10.1039/TF9383400678. Radzvilavicius, A.; Anisimovas, E. (2011). "Topological defect motifs in two-dimensional Coulomb clusters". Journal of Physics: Condensed...
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demonstrated that a magnetic flux can penetrate a superconductor via a topological defect that has integer phase winding and carries quantized magnetic flux...
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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...
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topics List of topological invariants (topological properties) Publications in topology Quantum topology Topological defect Topological entropy in physics...
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