We consider spin-chain-star systems characterized by N-wise many-body interactions between the spins in each chain and the central one. We show that such systems can be exactly mapped into standard spin-star systems through unitary transformations. Such an approach allows the solution of the dynamic problem of an XX$X X$ spin-chain-star model and transparently shows the emergence of quantum correlations in the system, based on the idea of entanglement between chains.
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Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
Chen, Xiao
Fradkin, Eduardo
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Univ Illinois, Dept Phys, 1110 West Green St, Urbana, IL 61801 USA
Univ Illinois, Inst Condensed Matter Theory, 1110 West Green St, Urbana, IL 61801 USAUniv Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
Fradkin, Eduardo
Witczak-Krempa, William
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Univ Montreal, Dept Phys, Montreal, PQ H3C 3J7, CanadaUniv Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA