The Eigenstate Thermalization Hypothesis in 1D Anyon Chains

For ergodic systems with Hilbert spaces satisfying a local product structure, the eigenstate thermalization hypothesis (ETH) is relatively well-established. Using exact diagonalization studies, we investigate whether quantum spin chains based on SU(2)\_k anyon theories, which do not admit a Hilbert space with an exactly local product structure, also satisfy ETH, and which observables exhibit this behaviour.