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Title:
Entanglement entropy of the boundary spin configuration of a random 2D statistical system
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Abstract:
A classical analogue of the entanglement entropy is calculated on the system boundary of the +-J Ising model. The boundary spin distribution is obtained by means of the time-evolving block decimation (TEBD) method, where the random ensemble is created from the successive multiplications of position-dependent transfer matrices. The random average of the entanglement entropy is calculated on the Nishimori line, and it is confirmed that the entanglement entropy shows critical singularity at the Nishimori point.
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