Correlation Decay in Fermionic Lattice Systems with Power-Law Interactions at Nonzero Temperature.

Hernández-Santana, Senaida; Gogolin, Christian; Cirac, J Ignacio; Acín, Antonio

Hernández-Santana, Senaida; Gogolin, Christian; Cirac, J Ignacio; Acín, Antonio.

Afiliación

Hernández-Santana S; ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.
Gogolin C; ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.
Cirac JI; Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
Acín A; Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.

Phys Rev Lett ; 119(11): 110601, 2017 Sep 15.

Article en En | MEDLINE | ID: mdl-28949238

RESUMEN

We study correlations in fermionic lattice systems with long-range interactions in thermal equilibrium. We prove a bound on the correlation decay between anticommuting operators and generalize a long-range Lieb-Robinson-type bound. Our results show that in these systems of spatial dimension D with, not necessarily translation invariant, two-site interactions decaying algebraically with the distance with an exponent α≥2D, correlations between such operators decay at least algebraically to 0 with an exponent arbitrarily close to α at any nonzero temperature. Our bound is asymptotically tight, which we demonstrate by a high temperature expansion and by numerically analyzing density-density correlations in the one-dimensional quadratic (free, exactly solvable) Kitaev chain with long-range pairing.

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Phys Rev Lett Año: 2017 Tipo del documento: Article País de afiliación: España Pais de publicación: Estados Unidos

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