On the sharpness of the zero-entropy-density conjecture

DOI10.1063/1.2138047zbMath1111.82005arXivmath-ph/0507022OpenAlexW3104435832WikidataQ122932959 ScholiaQ122932959MaRDI QIDQ3438710

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Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0507022

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15) Applications of functional analysis in statistical physics (46N55)

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Cites Work

• On the XY-model on two-sided infinite chain
• Random matrix theory and entanglement in quantum spin chains
• The proper formula for relative entropy and its asymptotics in quantum probability
• Finitely correlated pure states
• Quantum spin chain, Toeplitz determinants and the Fisher-Hartwig conjecture
• Quantum Dynamical Systems
• Entropy growth of shift-invariant states on a quantum spin chain

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