Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems (Articolo in rivista)

Type
Label
  • Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Alternative label
  • Franchini, Fabio; Cui, Jian; Amico, Luigi; Fan, Heng; Gu, Mile; Korepin, Vladimir; Kwek, Leong Chuan; Vedral, Vlatko (2014)
    Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems
    in Physical review. X
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Franchini, Fabio; Cui, Jian; Amico, Luigi; Fan, Heng; Gu, Mile; Korepin, Vladimir; Kwek, Leong Chuan; Vedral, Vlatko (literal)
Pagina inizio
  • 1028 (literal)
Pagina fine
  • 1028 (literal)
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  • 4 (literal)
Rivista
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  • 8 (literal)
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  • 4 (literal)
Note
  • ISI Web of Science (WOS) (literal)
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  • MIT; SISSA; Ist Nazl Fis Nucl; Chinese Acad Sci; Univ Freiburg; CNR; Dipartimento Fis & Astron; Natl Univ Singapore; Tsinghua Univ; SUNY Stony Brook; Nanyang Technol Univ; Nanyang Technol Univ; Univ Oxford (literal)
Titolo
  • Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems (literal)
Abstract
  • In some many-body systems, certain ground-state entanglement (Renyi) entropies increase even as the correlation length decreases. This entanglement nonmonotonicity is a potential indicator of nonclassicality. In this work, we demonstrate that such a phenomenon, known as lack of local convertibility, is due to the edge-state (de) construction occurring in the system. To this end, we employ the example of the Ising chain, displaying an order-disorder quantum phase transition. Employing both analytical and numerical methods, we compute entanglement entropies for various system bipartitions (A\B) and consider ground states with and without Majorana edge states. We find that the thermal ground states, enjoying the Hamiltonian symmetries, show lack of local convertibility if either A or B is smaller than, or of the order of, the correlation length. In contrast, the ordered (symmetry-breaking) ground state is always locally convertible. The edge-state behavior explains all these results and could disclose a paradigm to understand local convertibility in other quantum phases of matter. The connection we establish between convertibility and nonlocal, quantum correlations provides a clear criterion of which features a universal quantum simulator should possess to outperform a classical machine. (literal)
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