We study a strongly interacting chain of anyons with fusion rules determined
by SO(5)2. The phase portrait is identified with a combination of numerical and
analytical techniques. Several critical phases with different central charges
and their corresponding transitions identified.Comment: 5 pages, 4 figure

Finch, Peter E.

Frahm, Holger

Lewerenz, Marius

Milsted, Ashley

Osborne, Tobias J.

English

arXiv

Peter E. Finch

Holger Frahm

Marius Lewerenz

Ashley Milsted

Tobias J. Osborne

Crossref

Physical Review B

Quantum phases of a chain of strongly interacting anyons

Quantum gates for the manipulation of topological qubits rely on interactions between non-Abelian anyonic quasiparticles. We study the collective behavior of systems of anyons arising from such interactions. In particular, we study the effect of favoring different fusion channels of the screened Majorana spins appearing in the recently proposed topological Kondo effect. Based on the numerical solution of a chain of SO(5)2 anyons we identify two critical phases whose low-energy behavior is characterized by conformal field theories with central charges c=1 and c=8/7, respectively. Our results are complemented by exact results for special values of the coupling constants which provide additional information about the corresponding phase transitions

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Quantum phases of a chain of strongly interacting anyons

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