von Neumann entropy associated with the haldane exclusion statistics
- Naval Research Laboratory, Washington D.C. 20375-5320 (United States)
We obtain the von Neumann entropy per state of the Haldane exclusion statistics with parameter [ital g] in terms of the mean occupation number [bar n][l brace][ital w]ln[ital w][minus](1+[ital w])ln(1+[ital w])[r brace], where [ital w]=(1[minus][bar n]). This reduces correctly to the well known expressions in the limiting cases of Bose ([ital g]=0) and Fermi ([ital g]=1) statistics. We have derived the second and third order fluctuations in the occupation numbers for arbitrary [ital g]. An elegant general duality relationship between the [ital w] factor associated with the particle and that associated with the hole at the reciprocal [ital g] is deduced along with the attendant relationship between the two respective entropies.
- OSTI ID:
- 6476431
- Journal Information:
- Physical Review Letters; (United States), Vol. 74:7; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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