Scaling of entanglement entropy and superselection rules

I. Klich; L. S. Levitov

Scaling of entanglement entropy and superselection rules

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arxiv 0812.0006 v1 pith:XIYHMTXV submitted 2008-11-28 quant-ph cond-mat.mes-hallhep-th

I. Klich , L. S. Levitov This is my paper · ORCID

classification quant-phcond-mat.mes-hallhep-th

keywords entropyparticlesystemsentanglementnumberconservationfluctuationsseveral

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Particle number conservation in fermionic systems restricts the allowed local operations on bi-partite systems. We show how this restriction is related to measurement entropy of particle fluctuations and compute it for several regimes of practical relevance. The accessible entanglement entropy restricted by particle number conservation is equal, to leading order, to the full entanglement entropy. The correction is bounded by the log of the variance of particle number fluctuations. The results are applied to generic Fermi systems in dimension d>1 as well as to several critical systems in d=1.

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Detection of a R\'enyi Index Dependent Transition in Entanglement Entropy Scaling
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A number-conserving state with two states per site has Rényi entropy scaling S_{α>1}≍lnℓ, S_{α=1}≍√ℓ lnℓ, S_{α<1}≍ℓ, and a symmetry-aware lower bound detects the mismatch.

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