Correlations and entanglement in a chain of three oscillators A,B,C with
nearest neighbour coupling is studied. Oscillators A,B and B,C are coupled
but there is no direct coupling between oscillators A,C. Examples with initial
factorizable states are considered, and the time evolution is calculated. It
is shown that the dynamics of the tri-partite system creates correlations and
entanglement among the three oscillators and in particular, between oscillators
A,C which are not coupled directly. We have performed photon number
selective and non-selective measurements on oscillator A and we investigated
their effects on the correlations and entanglement. It is shown that, before
the measurement, the correlations between oscillators A,C can be stronger
than the correlations of oscillators A,B. Moreover, some entanglement witness
shows that oscillators A,C are entangled but the oscillators A,B might
or might not be entangled. By using quantum discord, which measures the
quantumness of correlations, it is shown that there are quantum correlations
between oscillators A,B and after the measurements in both cases of selective
and non-selective measurements, oscillators A,B and A,C become classically
correlated. / Ministry of Higher Education, Malaysia and Universiti Kebangsaan, Malaysia.
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/5438 |
| Date | January 2011 |
| Creators | Idrus, Bahari bin |
| Contributors | Vourdas, Apostolos, Konstadopoulou, Anastasia |
| Publisher | University of Bradford, Department of Computing |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Thesis, doctoral, PhD |
| Rights | <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>. |
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