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We demonstrate how the generalized Pauli exclusion principle emerges forquasiparticle excitations in 2d topological phases. As an example, we examinethe Levin-Wen model with the Fibonacci data (specified in the text), andconstruct the number operator for fluxons living on plaquettes. By numericallycounting the many-body states with fluxon number fixed, the matrix of exclusionstatistics parameters is identified and is shown to depend on the spatialtopology (sphere or torus) of the system. Our work reveals the structure of the(many-body) Hilbert space and some general features of thermodynamics forquasiparticle excitations in topological matter.

Emergent Exclusion Statistics of Fibonacci Anyons in 2D Topological Phases