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Superconducting Qubits
Integrability and duality in spin chains
arXiv
Authors: Eyzo Stouten, Pieter W. Claeys, Jean-Sébastien Caux, Vladimir Gritsev
Year
2017
Paper ID
39281
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
We construct a new, two-parametric family of integrable models and reveal their underlying duality symmetry. A modular subgroup of this duality is shown to connect non-interacting modes of different systems. We apply the new solution and duality to a Richardson-Gaudin model and generate a novel integrable system termed the s-d wave Richardson-Gaudin-Kitaev interacting chain, interpolating s- and d- wave superconductivity. The phase diagram of this model has a topological phase transition that can be connected to the duality, where the occupancy of the non-interacting mode serves as a topological order parameter.
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- This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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- We construct a new, two-parametric family of integrable models and reveal their underlying duality symmetry.
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