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Reading entanglement in terms of spin configurations in quantum magnets (Articolo in rivista)

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Reading entanglement in terms of spin configurations in quantum magnets (Articolo in rivista) (literal)

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Alternative label

Fubini, A (1,2); Roscilde, T (3); Tognetti, V (2,4,6); Tusa, M (2); Verrucchi, P (4,5); (2006)
Reading entanglement in terms of spin configurations in quantum magnets
in The European physical journal. D, Atomic, molecular, optical and plasma physics (Online)
(literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

Fubini, A (1,2); Roscilde, T (3); Tognetti, V (2,4,6); Tusa, M (2); Verrucchi, P (4,5); (literal)

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1) MATIS CNR-INFM &Dipartimento di Metodologie Fisiche e Chimiche -Universit`a di Catania,V.le A.Doria 6, 95125 Catania, Italy 2) Dipartimento di Fisica dell 'Universit`a di Firenze,via G.Sansone 1,50019 Sesto F.no (FI),Italy 3) Department of Physics and Astronomy,University of Southern California,Los Angeles,CA 90089-0484, USA 4) CNR-INFM,UdR Firenze,via G.Sansone 1,50019 Sesto F.no (FI), Italy 5) Istituto dei Sistemi Complessi -CNR,Sez.di Firenze via Madonna del Piano,50019 Sesto F.no (FI), Italy 6) Istituto Nazionale di Fisica Nucleare,Sez.di Firenze,via G.Sansone 1,50019 Sesto F.no (FI), Italy (literal)

Titolo

Reading entanglement in terms of spin configurations in quantum magnets (literal)

Abstract

We consider a quantum many-body system made of N interacting S=1/2 spins on a lattice, and develop a formalism which allows to extract, out of conventional magnetic observables, the quantum probabilities for any selected spin pair to be in maximally entangled or factorized two-spin states. This result is used in order to capture the meaning of entanglement properties in terms of magnetic behavior. In particular, we consider the concurrence between two spins and show how its expression extracts information on the presence of bipartite entanglement out of the probability distributions relative to specific sets of two-spin quantum states. We apply the above findings to the antiferromagnetic Heisenberg model in a uniform magnetic field, both on a chain and on a two-leg ladder. Using Quantum Monte Carlo simulations, we obtain the above probability distributions and the associated entanglement, discussing their evolution under application of the field. (literal)

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