Frustration, Area Law, and Interference in Quantum Spin Models

Abstract

We study frustrated quantum systems from a quantum information perspective. Within this approach, we find that highly frustrated systems do not follow any general ''area law'' of block entanglement, while weakly frustrated ones have area laws similar to those of nonfrustrated systems away from criticality. To calculate the block entanglement in systems with degenerate ground states, typical in frustrated systems, we define a ''cooling'' procedure of the ground state manifold, and propose a frustration degree and a method to quantify constructive and destructive interference effects of entanglement.

4 (+ epsilon) pages, 1 eps figure, RevTeX4; v1: 4 pages, 2 eps figures; v2: presentation improved, further models analyzed, published version

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• Renormalization group constructions of topological quantum liquids and beyond
• Characterizing and Quantifying Frustration in Quantum Many-Body Systems
• Quantum simulation of Heisenberg spin chains with next nearest neighbor interactions in coupled cavities
• Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
• Frustration, Entanglement, and Correlations in Quantum Many Body Systems
• Patterns of Genuine Multipartite Entanglement in Frustrated Quantum Spin Systems
• Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon
• Physical consequences of P$\ne$NP and the DMRG-annealing conjecture
• Interplay between local and non-local frustration in the 1D ANNNI chain I -- The even case
• Inducing critical phenomena in spin chains through sparse alternating fields