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Post measurement bipartite entanglement entropy in conformal field theories

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arxiv 1501.07831 v2 pith:OOEV7B3T submitted 2015-01-30 cond-mat.stat-mech hep-thquant-ph

classification cond-mat.stat-mechhep-thquant-ph
keywords fieldentanglementbipartiteconformalcoupledentropyharmonicmeasurement
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abstract

We derive exact formulas for bipartite von Neumann entanglement entropy after partial projective local measurement in $1+1$ dimensional conformal field theories with periodic and open boundary conditions. After defining the set up we will check numerically the validity of our results in the case of Klein-Gordon field theory (coupled harmonic oscillators) and spin-$1/2$ XX chain in a magnetic field. The agreement between analytical results and the numerical calculations is very good. We also find a lower bound for localizable entanglement in coupled harmonic oscillators.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Measurement-induced entanglement Hamiltonian

    cond-mat.stat-mech 2026-08 conditional novelty 6.0 of 10

    In a critical free-fermion chain, after partial projective measurements the entanglement Hamiltonian is a local grand-canonical operator: a measurement-independent inverse temperature times a local chemical potential ...

  2. Matrix Elements of Fermionic Gaussian Operators in Arbitrary Pauli Bases: A Pfaffian Formula

    quant-ph 2025-06 conditional novelty 5.0 of 10

    Every matrix element of a fermionic Gaussian operator between arbitrary Pauli product states is expressed as a single Pfaffian of a 2L by 2L kernel with explicitly tabulated sign matrices.

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