Uniform bound of the entanglement for the ground state of the quantum Ising model with large transverse magnetic field

DOI10.1007/s10955-020-02501-7zbMath1439.82005arXiv2003.06611OpenAlexW3006323172MaRDI QIDQ1984825

Michele Gianfelice, Massimo Campanino

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/2003.06611

zbMATH Keywords

entanglementcluster expansionGibbs random fieldsquantum Ising modelspin-flip processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Statistical mechanics of magnetic materials (82D40) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items

Uniform bound of the entanglement for the ground state of the one-dimensional quantum Ising model with non-homogeneous transverse field

Cites Work

• Localization in the ground state of the Ising model with a random transverse field
• Entanglement in the quantum Ising model
• Cluster expansion for abstract polymer models
• Stochastic processes associated with KMS states