Reading entanglement in terms of spin configurations in quantum magnets |
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Authors: | A Fubini T Roscilde V Tognetti M Tusa P Verrucchi |
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Institution: | (1) MATIS CNR-INFM & Dipartimento di Metodologie Fisiche e Chimiche - Università di Catania, V.le A. Doria 6, 95125 Catania, Italy;(2) Dipartimento di Fisica dell'Università 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 Nazionale di Fisica Nucleare, Sez. di Firenze, via G. Sansone 1, 50019 Sesto F.no (FI), Italy;(6) Istituto dei Sistemi Complessi - CNR, Sez. di Firenze via Madonna del Piano, 50019 Sesto F.no (FI), Italy |
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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. |
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Keywords: | 03 67 Mn Entanglement production characterization and manipulation 75 10 Jm Quantized spin models 05 30 -d Quantum statistical mechanics |
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