منابع مشابه
On Anyonic Propagators
We consider a simple action for a fractional spin particle and a path integral representation for the propagator is obtained in a gauge such that the constraint embodied in the Lagrangian is not an obstacle. We obtain a propagator for the particle in a constant electromagnetic field via the path integral representation over velocities, which is characterized by arbitrary boundary conditions and...
متن کاملAnyonic entanglement renormalization
We introduce a family of variational ansatz states for chains of anyons which optimally exploits the structure of the anyonic Hilbert space. This ansatz is the natural analog of the multiscale entanglement renormalization ansatz for spin chains. In particular, it has the same interpretation as a coarse-graining procedure and is expected to accurately describe critical systems with algebraically...
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We introduce anyonic Lie algebras in terms of structure constants. We provide the simplest examples and formulate some open problems.
متن کاملAnyonic braiding in optical lattices.
Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo nontrivial statistical transformations as one excitation is moved (braided) around another. Topological quantum computation proposes to use the topological protection and the braiding statistics of a non-Abelian topological state to perform quantum computation. The en...
متن کاملTopological Invariants and Anyonic Propagators
We obtain the Hausdorff dimension, h = 2− 2s, for particles with fractional spins in the interval, 0 ≤ s ≤ 0.5, such that the manifold is characterized by a topological invariant given by, W = h + 2s − 2p. This object is related to fractal properties of the path swept out by fractional spin particles, the spin of these particles, and the genus ( number of anyons ) of the manifold. We prove that...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2017
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.96.046016