Unveiling \(\pi\)-tangle and quantum phase transition in the one-dimensional anisotropic XY model

DOI10.1007/s11128-015-0982-4zbMath1317.81032OpenAlexW2063621461MaRDI QIDQ2355608

Juan He, Cheng-Cheng Liu, Liu Ye, Shuai Xu

Publication date: 24 July 2015

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-015-0982-4

zbMATH Keywords

quantum entanglementquantum phase transition\(\pi\)-tangleHeisenberg XY model

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum coherence, entanglement, quantum correlations (81P40)

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Cites Work

• Unnamed Item
• Emptiness formation probability for the anisotropic \(XY\) spin chain in a magnetic field
• Pairwise quantum correlations of a three-qubit XY chain with phase decoherence
• Two soluble models of an antiferromagnetic chain
• The monogamy relation and quantum phase transition in one-dimensional anisotropic XXZ model
• Quantum entanglement
• Entanglement in many-body systems
• Ellipses of constant entropy in theXYspin chain
• Quantum Phase Transitions
• Quantum information and computation
• Asymptotics of Toeplitz determinants and the emptiness formation probability for the XY spin chain

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