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Scaling of entanglement entropy and superselection rules

2008/11/28 by Israel Klich, Klich, I., Leonid Levitov +1 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Physics (quant-ph) #Quantum many-body systems #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.0812.0006

openalex publication_date 2008/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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