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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

M. A. Rajabpour This is my paper · ORCID
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 3 Pith papers

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

  1. Explicit Pfaffian Formula for Amplitudes of Fermionic Gaussian Pure States in Arbitrary Pauli Bases

    quant-ph 2025-02 conditional novelty 7.0 of 10

    Fermionic Gaussian pure state amplitudes in arbitrary local Pauli bases are given by an explicit Pfaffian formula plus a recursion for different qubit counts.

  2. 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 ...

  3. 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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