REDUCED DENSITY MATRIX AND ENTANGLEMENT ENTROPY OF PERMUTATIONALLY INVARIANT QUANTUM MANY-BODY SYSTEMS

DOI10.1142/9789814460323_0009zbMath1297.81038arXiv1112.6352OpenAlexW3009819445WikidataQ62600990 ScholiaQ62600990MaRDI QIDQ3189871

Vladislav Popkov, Mario Salerno

Publication date: 12 September 2014

Published in: International Journal of Modern Physics B, The Korepin Festschrift: From Statistical Mechanics to Quantum Information Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.6352

zbMATH Keywords

permutation groupfinite temperatureRenyi entropyvon Neumann entropyRényi entropyexact resultsreduced density matrixexact spectrumCurie-Weiss phase transition

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods applied to problems in quantum field theory (81T17) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Measures of information, entropy (94A17) Symmetric groups (20B30) Statistical thermodynamics (82B30) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

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• Reduced density matrix of permutational invariant many-body systems
• Possible generalization of Boltzmann-Gibbs statistics.
• Geometric and renormalized entropy in conformal field theory
• Entanglement in many-body systems
• Quantum entanglement in second-quantized condensed matter systems
• Entanglement in theXYspin chain
• Entanglement entropy with interface defects
• Renyi entropy of the XY spin chain
• Entanglement and off-diagonal long-range order of an η-pairing state
• Entanglement entropy in extended quantum systems

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