Related papers: Dynamical abelian anyons with bound states and scattering states

Dynamical abelian anyons with bound states and scattering states

URL: http://arxiv.org/abs/2303.07379v1
Date: Mon, 13 Mar 2023 18:01:02 GMT
Title: Dynamical abelian anyons with bound states and scattering states
Authors: Sven Bachmann, Bruno Nachtergaele, Siddharth Vadnerkar
Abstract summary: We introduce a family of quantum spin Hamiltonians on $mathbbZ2$. In particular, the anyons exhibit a non-trivial holonomy with a quantized phase, consistent with the gauge and duality symmetries of the Hamiltonian.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We introduce a family of quantum spin Hamiltonians on $\mathbb{Z}^2$ that can be regarded as perturbations of Kitaev's abelian quantum double models that preserve the gauge and duality symmetries of these models. We analyze in detail the sector with one electric charge and one magnetic flux and show that the spectrum in this sector consists of both bound states and scattering states of abelian anyons. Concretely, we have defined a family of lattice models in which abelian anyons arise naturally as finite-size quasi-particles with non-trivial dynamics that consist of a charge-flux pair. In particular, the anyons exhibit a non-trivial holonomy with a quantized phase, consistent with the gauge and duality symmetries of the Hamiltonian.

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