Abstract
Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective — the perspective of quasiparticle fluctuations. In this picture, the entanglement spectrum of a topologically ordered system encodes the quasiparticle fluctuations of the system, and the entanglement entropy measures the maximal quasiparticle fluctuations on the EB. As a consequence, entanglement entropy corresponds to the thermal entropy of the quasiparticles at infinite temperature on the entanglement boundary. We corroborates our results with explicit computation in the quantum double model with/without boundaries. We then systematically construct the reduced density matrices of the quantum double model on generic 2-surfaces with boundaries.
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Hu, Y., Wan, Y. Entanglement entropy, quantum fluctuations, and thermal entropy in topological phases. J. High Energ. Phys. 2019, 110 (2019). https://doi.org/10.1007/JHEP05(2019)110
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DOI: https://doi.org/10.1007/JHEP05(2019)110