Physics – Quantum Physics
Scientific paper
2011-09-08
Physics
Quantum Physics
14 pages, 11 figures
Scientific paper
We study the macroscopic entanglement properties of a low dimensional quantum spin system by investigating its magnetic properties at low temperatures and high magnetic ?elds. The tempera- ture and magnetic ?eld dependence of entanglement from the susceptibility and magnetization data comparing the experimental extraction with theoretical estimates are given. Extraction of entan- glement has been made possible through the macroscopic witness operators magnetic susceptibility. The protocol followed in doing so has been outlined in some recent work. Various plots of entan- glement comparing the experimental extraction with theoretical estimates are given. Quantitative comparison between concurrence and entanglement witness is given for both the theoretical and experimental results. Theory and experiments match over a wide range of temperature and ?eld. The spin system studied is a chain, which exhibits dimerisation and yields fascinating entanglement properties when the temperature and magnetic ?eld is varied. These spin systems exhibit quantum phase transition (QPT) at low temperatures, when the magnetic ?eld is swept through a critical value. We show explicitly for the ?rst time, using tools used in quantum information processing (QIP), that quantum phase transition (QPT) can be captured experimentally using canonically conjugate observables. Macroscopically, quantum complementarity relation clearly delineates entangled states from separable states across the QPT. We have estimated the partial information sharing in this system from our magnetization and susceptibility data. The complementarity relation has been experimentally veri?ed to hold in this system
Chakraborty Tanmoy
Das Diptaranjan
Mitra Chiranjib
Singh Harkirat
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