Entanglement versus gap for one-dimensional spin systems

DOI10.1088/1367-2630/12/2/025002zbMath1360.81062arXiv0901.1108OpenAlexW1997094164MaRDI QIDQ2980752

Daniel Gottesman, Matthew B. Hastings

Publication date: 3 May 2017

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

Full work available at URL: https://arxiv.org/abs/0901.1108

Mathematics Subject Classification ID

Operator algebra methods applied to problems in quantum theory (81R15) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Entropy, gap and a multi-parameter deformation of the Fredkin spin chain ⋮ Deformed Fredkin spin chain with extensive entanglement ⋮ Spectral gaps for the two-species product vacua and boundary states models on the \(d\)-dimensional lattice ⋮ Exponential decay of correlations implies area law ⋮ Area law violations and quantum phase transitions in modified Motzkin walk spin chains ⋮ Local gap threshold for frustration-free spin systems ⋮ Ground state entanglement in one-dimensional translationally invariant quantum systems ⋮ Unusual area-law violation in random inhomogeneous systems ⋮ Gapped and gapless phases of frustration-free spin-12 chains

Cites Work

• Unnamed Item
• Lieb-Robinson bounds and the exponential clustering theorem
• Spectral gap and exponential decay of correlations
• The spectral gap of the ferromagnetic \(XXZ\) chain
• Colloquium: Area laws for the entanglement entropy
• Entanglement entropy and quantum field theory
• An area law for one-dimensional quantum systems

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