# Molecular Impurities as a Realization of Anyons on the Two-Sphere.

@article{Brooks2020MolecularIA, title={Molecular Impurities as a Realization of Anyons on the Two-Sphere.}, author={M. Brooks and Mikhail Lemeshko and Douglas Lundholm and Enderalp Yakaboylu}, journal={Physical review letters}, year={2020}, volume={126 1}, pages={ 015301 } }

Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally…

## 6 Citations

### Exchange and exclusion in the non-abelian anyon gas

- Mathematics
- 2020

We review and develop the many-body spectral theory of ideal anyons, i.e. identical quantum particles in the plane whose exchange rules are governed by unitary representations of the braid group on…

### Emergence of Anyons on the Two-Sphere in Molecular Impurities

- PhysicsAtoms
- 2021

Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)).…

### Properties of 2D anyon gas

- Physics
- 2023

An overview is given of the 2D many-anyon gas, including its definition (both for ideal and certain less-than-ideal particles, as well as for abelian and nonabelian braid group representations), its…

### Quantum statistics transmutation via magnetic flux attachment

- Physics
- 2022

A BSTRACT . We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic ﬁeld. Interactions are short range and inter-species, and we assume that the bath…

### Kohn-Sham density functional theory of Abelian anyons

- Physics
- 2021

We develop a density functional treatment of noninteracting Abelian anyons, which is capable, in principle, of dealing with a system of a large number of anyons in an external potential. Comparison…

### Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators

- Physics, Mathematics
- 2020

We study the Hamiltonian describing two anyons moving in a plane in presence of an external magnetic field and identify a one-parameter family of self-adjoint realizations of the corresponding…

## References

SHOWING 1-10 OF 12 REFERENCES

### Quantum impurity model for anyons

- Physics
- 2019

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…

### CHAPTER 9:Molecular Impurities Interacting with a Many-particle Environment: From Ultracold Gases to Helium Nanodroplets

- Physics
- 2017

In several settings of physics and chemistry one has to deal with molecules interacting with some kind of an external environment, be it a gas, a solution, or a crystal surface. Understanding…

### Introduction to abelian and non-abelian anyons

- Mathematics
- 2017

In this set of lectures, we will start with a brief pedagogical introduction to abelian anyons and their properties. This will essentially cover the background material with an introduction to basic…

### BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY,

- Mathematics
- 2007

T H E construction in the Physical Laboratory of Clark University of two primary standards of self-inductance by Dr. J . G. Coffin and his development of satisfactory formulas for the calculation of…

### and a at

- ChemistryThe William Makepeace Thackeray Library
- 2018

The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally…

### Molecular Physics 111

- 1648
- 2013

### Annals of Physics 303

- 2–30
- 2003

### Quantum Information Processing 1

- 13
- 2002