Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Quantum Impurity Model for Anyons   One of the hallmarks of quantum statistics, tightly entwined with the concept
of topological phases of matter, is the prediction of anyons. Although anyons
are predicted to be realized in certain fractional quantum Hall systems, they
have not yet been unambiguously detected in experiment. Here we introduce a
simple quantum impurity model, where bosonic or fermionic impurities turn into
anyons as a consequence of their interaction with the surrounding many-particle
bath. A cloud of phonons dresses each impurity in such a way that it
effectively attaches fluxes/vortices to it and thereby converts it into an
Abelian anyon. The corresponding quantum impurity model, first, provides a new
approach to the numerical solution of the many-anyon problem, along with a new
concrete perspective of anyons as emergent quasiparticles built from composite
bosons or fermions. More importantly, the model paves the way towards realizing
anyons using impurities in crystal lattices as well as ultracold gases. In
particular, we consider two heavy electrons interacting with a two-dimensional
lattice crystal in a magnetic field, and show that when the impurity-bath
system is rotated at the cyclotron frequency, impurities behave as anyons as a
consequence of the angular momentum exchange between the impurities and the
bath. A possible experimental realization is proposed by identifying the
statistics parameter in terms of the mean square distance of the impurities and
the magnetization of the impurity-bath system, both of which are accessible to
experiment. Another proposed application are impurities immersed in a
two-dimensional weakly interacting Bose gas.

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The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci