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Europhysics Letters (EPL)

Experimental investigation of the entanglement in the magnetization of the layered CaMn 2 Sb 2 compound

Alfa Sharma, A. M. Gomes

Published Dec 1, 2008• 8 citations
Publisher

Abstract

In this letter, we present an experimental observation of entanglement in a spin chain formed in the layered compound CaMn 2 Sb 2 . The presence of entanglement was investigated through a measurable quantity, the magnetic susceptibility. The entanglement witness obtained from the measurement is presented as a function of applied field for fixed temperatures. The presence of entanglement is observed even for reasonably high temperatures and applied fields. Since entanglement seems to occur naturally in this material, we suggest it to be used as an entanglement reservoir.

DOI
10.1209/0295-5075/84/60003

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In this letter, we present an experimental observation of entanglement in a spin chain formed in the layered compound CaMn 2 Sb 2 . The presence of entanglement was investigated through a measurable quantity, the magnetic susceptibility. The entanglement witness obtained from the measurement is presented as a function of applied field for fixed temperatures. The presence of entanglement is observed even for reasonably high temperatures and applied fields. Since entanglement seems to occur naturally in this material, we suggest it to be used as an entanglement reservoir.
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The present work reports an experimental observation of thermal entanglement in a clusterized spin chain formed in the compound Na2Cu5Si4O14{\mathrm{Na}}_{2}{\mathrm{Cu}}_{5}{\mathrm{Si}}_{4}{\mathrm{O}}_{14}Na2​Cu5​Si4​O14​. The presence of entanglement was investigated through two measured quantities, an entanglement witness and the entanglement of formation, both derived from the magnetic susceptibility. It was found that pairwise entanglement exists below $\ensuremath{\sim}200\phantom{\rule{0.3em}{0ex}}\mathrm{K}$. Tripartite entanglement was also observed below $\ensuremath{\sim}240\phantom{\rule{0.3em}{0ex}}\mathrm{K}$. A theoretical study of entanglement evolution as a function of applied field and temperature is also presented.
Detection of entangled states from experimental magnetic susceptibility is reported for an organic radical. The present system exemplifies an ideal spin ½ chain with full isotropy. Experimental susceptibility data are modelled by the formulation described by Bonner and Fisher. An explicit correlation is established between the molecular structure and the spin chain interaction. Using experimental magnetic susceptibility as entanglement witness, entanglement is observed to exist up to 28 K in the present system. Evolution of entanglement with magnetic field is also studied and a surface plot is generated, which clearly exhibits the variation of entanglement with magnetic field and temperature.
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We study the macroscopic entanglement properties of a low-dimensional quantum spin system by investigating its magnetic properties at low temperatures and high magnetic fields. The spin system chosen for this is copper nitrate (Cu(NO 3 ) 2 × 2.5H 2 O), which is a spin chain that exhibits dimerization. The temperature and magnetic field dependence of entanglement from the susceptibility and magnetization data are given, by comparing the experimental results with the theoretical estimates. Extraction of entanglement has been made possible through the macroscopic witness operator, magnetic susceptibility. An explicit comparison of the experimental extraction of entanglement with theoretical estimates is provided. It was found that theory and experiments match over a wide range of temperatures and fields. The spin system studied exhibits quantum phase transition (QPT) at low temperatures when the magnetic field is swept through a critical value. We show explicitly for the first time, using tools used in quantum information processing, that QPT can be captured experimentally using quantum complementary observables, which clearly delineate entangled states from separable ones across the QPT. We have also estimated the partial information sharing in this system from our magnetization and susceptibility data. The complementarity relation has been experimentally verified to hold in this system.