***New paper in PRB*** Order parameters and critical exponents for non-Abelian topological phases

12.10.2021

How can we quantitatively characterize the condensation and confinement of non-Abelian anyons in topological phase transitions, possibly even for non-Hermitian systems?

This question, stimulated by previous work studying condensation and confinement of Abelian anyons, has been studied by Wen-Tao Xu, one of our Quantum Information & Quantum Many-Body Physics Group's postdoctoral researchers, together with our group leader Norbert Schuch. Their paper "Characterization of topological phase transitions from a non-Abelian topological state and its Galois conjugate through condensation and confinement order parameters" has just been published in Physical Review B.

In their work, they construct order parameters which characterize the condensation and confinement of non-Abelian anyons in topological phase transitions out of the Hermitian double Fibonacci model and the non-Hermitian double Yang-Lee model. The critical exponents for condensation and confinement order parameters for both these transitions are then predicted using a combination of rigorous mappings to statistical mechanics models and numerical study based on tensor network methods.

For more information, check out the paper at Physical Review B (subscription required) or on the arXiv.


This work has received support through the ERC grant SEQUAM.

A tensor network representation for the RSOS models