Abundance of translation invariant pure states on quantum spin chains

DOI10.1007/BF00406552zbMath0779.46047OpenAlexW1998679237WikidataQ62124867 ScholiaQ62124867MaRDI QIDQ1196105

Mark Fannes, Bruno Nachtergaele, Reinhard F. Werner

Publication date: 10 November 1992

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

Full work available at URL: https://doi.org/10.1007/bf00406552

zbMATH Keywords

observable algebraone-dimensional latticequantum spin chainexponential decay of correlationpure transition invariant states

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Applications of functional analysis in quantum physics (46N50) States of selfadjoint operator algebras (46L30)

Related Items (13)

Non-local order parameters for fermion chains via the partial transpose ⋮ MARKOVIAN KMS-STATES FOR ONE-DIMENSIONAL SPIN CHAINS ⋮ The spectral gap for some spin chains with discrete symmetry breaking ⋮ Spontaneous SU2(C) symmetry breaking in the ground states of quantum spin chain ⋮ Computations in quantum tensor networks ⋮ Non-commutative shifts and crossed products. ⋮ Translation invariant pure state on \(\bigotimes _{\mathbb {Z}}M_d(\mathbb C)\) and Haag duality ⋮ GRADIENT FLOWS FOR OPTIMIZATION IN QUANTUM INFORMATION AND QUANTUM DYNAMICS: FOUNDATIONS AND APPLICATIONS ⋮ Locality and nonlocality of classical restrictions of quantum spin systems with applications to quantum large deviations and entanglement ⋮ Colloquium: Area laws for the entanglement entropy ⋮ Unifying Variational Methods for Simulating Quantum Many-Body Systems ⋮ Translation invariant pure state on B=⊗j∈ZMd(j)(C) and its split property ⋮ Time Evolution and Invariance of Boson Systems Given by Beam Splittings

Cites Work

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• A simplex with dense extreme points
• Finitely correlated states on quantum spin chains
• The Poulsen simplex
• An application of Bell's inequalities to a quantum state extension problem
• Finitely correlated pure states
• Remarks on a quantum state extension problem

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