Frustration, Area Law, and Interference in Quantum Spin Models

2007/06/30 by Aditi Sen, Aditi Sen De, Ujjwal Sen +3
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physrevlett.101.187202

published as Phys. Rev. Lett. 101, 187202 (2008) · 4 (+ epsilon) pages, 1 eps figure, RevTeX4; v1: 4 pages, 2 eps figures; v2: presentation improved, further models analyzed, published version

openalex publication_date 2008/10/29 · arxiv created 2008/10/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Area law and vacuum reordering in harmonic networks
• On Next-Nearest-Neighbor Interaction in Linear Chain. I
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