For inhomogeneous free-boson chains, the leading entanglement entropy is (a*/6) log N, where a* is the scaling exponent of the region where the local potential vanishes.
To numerically investigate the entanglement entropy, we use the machinery introduced in Sec
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Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
For inhomogeneous free-boson chains, the leading entanglement entropy is (a*/6) log N, where a* is the scaling exponent of the region where the local potential vanishes.