Separability for lattice systems at high temperature

Abstract

Equilibrium states of infinite extended lattice systems at high temperature are studied with respect to their entanglement. Two notions of separability are offered. They coincide for finite systems but differ for infinitely extended ones. It is shown that for lattice systems with localized interaction for high enough temperature there exists no local entanglement. Even more quasifree states at high temperature are also not distillably entangled for all local regions of arbitrary size. For continuous systems entanglement survives for all temperatures. In mean field theories it is possible, that local regions are not entangled but the entanglement is hidden in the fluctuation algebra.

References in corpus (5)

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• Entropy growth of shift-invariant states on a quantum spin chain
• Entanglement of mesoscopic systems
• On the measure of entanglement

Cited by in corpus (8)

• Entanglement in indistinguishable particle systems
• Dynamical phases and quantum correlations in an emitter-waveguide system with feedback
• Large scale quantum entanglement in de Sitter spacetime
• Quantum Fluctuations in Mesoscopic Systems
• Environment induced entanglement in many-body mesoscopic systems
• Multi-distributed Entanglement in Finitely Correlated Chains
• Quantum Separability of the vacuum for Scalar Fields with a Boundary
• Quantum Separability of Thermal Spin One Boson Systems