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We investigate the entanglement spectrum near criticality in finite quantum spin chains.
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We note that sometimes in the literature the entanglement spectrum is defined by the values − log λ i -\log\lambda_{i}
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For an infinite system with translational invariance the location of the cut does not affect the results, provided that the cut do not break any symmetry. For finite systems though, the location of the cut gives a correction to the entropy. When the cut breaks the symmetry, e.g. in a dimerized phase, special care has to be taken
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