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arXiv:quant-ph/0412056 · Springer eBooks

Entanglement in quantum-critical spin systems

Tommaso Roscilde, Paola Verrucchi, Andrea Fubini, Stephan Haas, V. Tognetti

Published May 29, 2006• 1 citation
arXivHTMLPDF
DOI
10.1007/0-387-31143-2_38

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A relation between entanglement and criticality of spin chains is established. The entanglement we exploit is shared between auxiliary particles, which are isolated from each other, but are coupled to the same critical spin-1/2 chain. We analytically evaluate the reduced density matrix, and numerically show the entanglement of the auxiliary particles in the proximity of the critical points of the spin chain. We find that the entanglement induced by a critical many-body system may reach one, and it can signal very well the critical points of the spin chain. A physical understanding and experimental realization with trapped ions are presented.