Logarithmic negativity and spectrum in free fermionic systems for well-separated intervals

DOI10.1088/1751-8121/acff9carXiv2305.16856OpenAlexW4387298276MaRDI QIDQ6063369

Eldad Bettelheim

Publication date: 7 November 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.16856

zbMATH Keywords

Riemann-Hilbert problemlogarithmic negativityentanglement measuresFisher-Hartwig theorem

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Quantum spin chain, Toeplitz determinants and the Fisher-Hartwig conjecture
• Colloquium: Area laws for the entanglement entropy
• On the asymptotics of a Toeplitz determinant with singularities
• Entanglement entropy of two disjoint intervals in conformal field theory: II
• Entanglement negativity in extended systems: a field theoretical approach
• Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
• Calculation of reduced density matrices from correlation functions
• Entanglement spectrum in general free fermionic systems
• Entanglement entropy of two disjoint intervals in conformal field theory
• Eigenvalues of Toeplitz matrices in the bulk of the spectrum

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