On Hastings factorization for quantum many-body systems in the infinite volume setting

Abstract

We will give self-contained and detailed proofs of the (multidimensional) Hastings factorization as well as a (1-dimensional) area law in a wider setup than previous works. Especially, they are applicable to both quantum spin and fermion chains of infinite volume as special cases.

34 pages

References in corpus (18)

• Entanglement in quantum critical phenomena
• An Area Law for One Dimensional Quantum Systems
• Area laws in quantum systems: mutual information and correlations
• Propagation of Correlations in Quantum Lattice Systems
• Exponential Decay of Correlations Implies Area Law
• Entanglement rates and area laws
• Quasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms
• Stochastic Error Cancellation in Analog Quantum Simulation
• Equilibrium Statistical Mechanics of Fermion Lattice Systems
• Rigorous RG algorithms and area laws for low energy eigenstates in 1D
• Lieb-Schultz-Mattis type theorems for quantum spin chains without continuous symmetry
• General Lieb-Schultz-Mattis type theorems for quantum spin chains
• Area law of non-critical ground states in 1D long-range interacting systems
• A ${\mathbb{Z}}_2$-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
• A converse to Lieb-Robinson bounds in one dimension using index theory
• Approximating the ground state of gapped quantum spin systems
• Split Property and Fermionic String Order
• Quantum complexity and generalized area law in fully connected models

Cited by in corpus (1)

• Entanglement area law and Lieb-Schultz-Mattis theorem in long-range interacting systems, and symmetry-enforced long-range entanglement