Exceptional points and quantum correlations in precise measurements
Date
2012
Authors
Thilagam, A.
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Journal article
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Journal of Physics A: Mathematical and Theoretical, 2012; 45(44):1-13
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Abstract
We examine the physical manifestations of exceptional points and passage times in a two-level system which is subjected to quantum measurements and which admits a non-Hermitian description. Using an effective Hamiltonian acting in the two-dimensional space spanned by the evolving initial and final states, the effects of highly precise quantum measurements in which the monitoring device interferes significantly with the evolution dynamics of the monitored two-level system is analyzed. The dynamics of a multipartite system consisting of the two-level system, a source of external potential and the measurement device is examined using correlation measures such as entanglement and non-classical quantum correlations.
Results show that the quantum correlations between the monitored (monitoring) systems is considerably decreased (increased) as the measurement precision nears the exceptional point, at which the passage time is half of the measurement duration. The results indicate that the underlying mechanism by which the non-classical correlations of quantum systems are transferred from one subsystem to another may be better revealed via use of geometric approaches.
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Link to a related website: http://arxiv.org/pdf/1211.0755, Open Access via Unpaywall
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Copyright 2012 IOP Publishing