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Paper detail

Probing the Lee-Yang zeros of a spin bath by correlation functions and entanglement of two spins

We study the Lee-Yang zeros of the ferromagnetic Ising bath via the interaction with the two probe spins. Similarly as in paper [Bo-Bo Wei, Ren-Bao Liu, Phys. Rev. Lett. 109, 185701 (2012)] the problem of detecting the zeros is reduced to the exploration of time evolution of probe spins. As a result, the relation between the Lee-Yang zeros of the bath and correlation functions of the probe system is obtained. Also we obtain relation between the Lee-Yang zeros and values of the entanglement of probe spins. We apply these results to the 1D Ising spin model with nearest-neighbor interaction which can be prepared on trapped atoms.

preprint2019arXivOpen access
A. R. KuzmakV. M. Tkachuk
math-phmath.MPquant-ph
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A. R. KuzmakV. M. Tkachuk

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