Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 22, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.225301
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Funding
- U.S. National Science Foundation [PHY-1306638, PHY-1207881, PHY-1520915, OAC-1740130]
- U.S. Air Force Office of Scientific Research Grant [FA9550-14-1-0287]
- Colorado School of Mines graduate fellowship
- National Science Foundation Grant [PHY-1607611]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1306638] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [1520915] Funding Source: National Science Foundation
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We quantify the emergent complexity of quantum states near quantum critical points on regular 1D lattices, via complex network measures based on quantum mutual information as the adjacency matrix, in direct analogy to quantifying the complexity of electroencephalogram or functional magnetic resonance imaging measurements of the brain. Using matrix product state methods, we show that network density, clustering, disparity, and Pearson's correlation obtain the critical point for both quantum Ising and Bose-Hubbard models to a high degree of accuracy in finite-size scaling for three classes of quantum phase transitions, Z(2), mean field superfluid to Mott insulator, and a Berzinskii-Kosterlitz-Thouless crossover.
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