The anyons tag has no wiki summary.
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Some questions about anyons?
(1) As we know, we have theories of second quantization for both bosons and fermions. That is, let $W_N$ be the $N$ identical particle Hilbert space of bosons or fermions, then the "many particle" ...
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2answers
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Basic questions in Majorana fermions
Why any fermion can be written as a combination of two Majorana fermions? Is there any physical meaning in it? Why Majorana fermion can be used for topological quantum computation?
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2answers
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Topological Charge. What is it Physically?
I have seen the term topological charge defined in an abstract mathematical way as a essentially a labeling scheme for particles which follows certain rules. However I am left guessing when trying to ...
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What is the precise definition or list of prerequisites for an anyonic system?
I have been reading some reviews and looked into books on anyons and topological quantum computation and I found it a little difficult to make out a short list of parameters and a clear and short list ...
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0answers
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Relative orbital angular momentum jumps when a bound state of anyons decays away
The answer http://physics.stackexchange.com/a/43770 is interesting.
Suppose we have an anyon with a spin $p/q$ with relatively prime p,q , with an odd q. Suppose we have a bound state of $Nq$ such ...
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2answers
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Anyonic phase factors when encircling one about another
The question Statistics of bound states of anyons with order pq, and its answer inspires this question.
Suppose you have an anyonic particle with nonintegral spin s. Presumably, if there's an ...
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1answer
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Is it possible to make statements about bosonic/fermionic systems by taking the limit $\theta\to \pi$ or $\theta\to 0$, of an anyonic system?
One might naïvely write the (anti-)commutation relations for bosonic/fermionic ladder operators as limits
$$
\delta_{k,\ell} = \bigl[ \hat{b}_{k}, \hat{b}_{\ell}^\dagger \bigr]
= ...
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1answer
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Statistics of bound states of anyons with order pq
Anyons with fractional statistics are possible in 2 spatial dimensions, as shown by Wilczek. Suppose we have two identical anyons of spin 1/pq, where p and q are integers more than 1. Then, ...
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2answers
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Why is fractional statistics and non-Abelian common for fractional charges?
Why non integer spins obey Fermi statistics?
Why is fractional statistics and non-Abelian common for fractional charges?
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1answer
191 views
Fractional statistics
A common way to show that anyons exhibit fractional statistics in 2D is by arguing that the paths of two anyons winding round each other cannot be continuously deformed to zero. This seems to assume ...
6
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2answers
366 views
Majorana particles statistics
What is the influence of Hermitian condition ($\gamma=\gamma^{\dagger}$) of Majorana fermions operators in their statistical behavior?
A Majorana fermion gas must obey the Fermi-Dirac statistics, or ...
6
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2answers
106 views
Irrelevance of parastatistics for space dimension > 2
Consider a system of $n$ undistinguishable particles moving in $d$-dimensional Euclidean space $E^d$. The configuration space is $M=((E^d)^n \setminus \Delta)/S_n$ where $\Delta$ is the diagonal ...
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direct sum of anyons?
In the topological phase of a fractional quantum Hall fluid, the excitations of the ground state (quasiparticles) are anyons, at least conjecturally.
There is then supposed to be a braided fusion ...
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3answers
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References on the physics of anyons
Anyone know some good introductory references on the physics of anyons?
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3answers
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How Non-abelian anyons arise in solid-state systems?
Recently it has been studied non-abelian anyons in some solid-state systems. These states are being studied for the creation and manipulation of qubits in quantum computing.
But, how these ...
