58 research outputs found
The third virial coefficient of anyons revisited
We use the method of solving the three-anyon problem developed in our earlier
publication to evaluate numerically the third virial coefficient of free
anyons. In order to improve precision, we explicitly correct for truncation
effects. The present calculation is about three orders of magnitude more
precise than the previous Monte Carlo calculation and indicates the presence of
a term with a very small coefficient .Comment: 10 pages, LATEX 2.09, 4 Postscript figures attached; explanations
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Numerical studies of entangled PPT states in composite quantum systems
We report here on the results of numerical searches for PPT states with
specified ranks for density matrices and their partial transpose. The study
includes several bipartite quantum systems of low dimensions. For a series of
ranks extremal PPT states are found. The results are listed in tables and
charted in diagrams. Comparison of the results for systems of different
dimensions reveal several regularities. We discuss lower and upper bounds on
the ranks of extremal PPT states.Comment: 18 pages, 4 figure
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