Studying quantum spin systems through entanglement estimators

Details Studying quantum spin systems through entanglement estimators Studying quantum spin systems through entanglement estimators

2004-04-16

arxiv.org/abs/cond-mat/0404403v3

Phys. Rev. Lett. 93, 167203 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, v3: improved figures and discussion. Accepted for publication on Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.93.167203

We study the field dependence of the entanglement of formation in anisotropic S=1/2 antiferromagnetic chains displaying a T=0 field-driven quantum phase transition. The analysis is carried out via Quantum Monte Carlo simulations. At zero temperature the entanglement estimators show abrupt changes at and around criticality, vanishing below the critical field, in correspondence with an exactly factorized state, and then immediately recovering a finite value upon passing through the quantum phase transition. At the quantum critical point, a deep minimum in the pairwise-to-global entanglement ratio shows that multi-spin entanglement is strongly enhanced; moreover this signature represents a novel way of detecting the quantum phase transition of the system, relying entirely on entanglement estimators.

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