Bounded entanglement entropy in the quantum Ising model

DOI10.1007/s10955-019-02432-yzbMath1434.82046arXiv1906.11954OpenAlexW3098519804MaRDI QIDQ2302654

Geoffrey R. Grimmett, Tobias J. Osborne, Petra F. Scudo

Publication date: 26 February 2020

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

Full work available at URL: https://arxiv.org/abs/1906.11954

zbMATH Keywords

entropyentanglementrandom-cluster modelquantum Ising modelarea law

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items

Uniform bound of the entanglement for the ground state of the one-dimensional quantum Ising model with non-homogeneous transverse field ⋮ Dynamical evolution of entanglement in disordered oscillator systems

Cites Work

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• Entanglement dynamics of disordered quantum XY chains
• The phase transition of the quantum Ising model is sharp
• Entanglement in the quantum Ising model
• Random current representation for transverse field Ising model
• Exponential decay for subcritical contact and percolation processes
• Geometric aspects of quantum spin states
• Sharp phase transition for the random-cluster and Potts models via decision trees
• Vanishing critical magnetization in the quantum Ising model
• Improved lower bound on thermodynamic pressure of the spin 1/2 Heisenberg ferromagnet
• Rigorous RG algorithms and area laws for low energy eigenstates in 1D
• Quantum Heisenberg models and their probabilistic representations
• Colloquium: Area laws for the entanglement entropy
• Bounds on the entanglement entropy of droplet states in the XXZ spin chain
• The free energy in a class of quantum spin systems and interchange processes
• Space-time percolation
• Bounds on the bipartite entanglement entropy for oscillator systems with or without disorder
• The Random-Cluster Model