von Neumann entropy associated with the haldane exclusion statistics

Journal Article · Mon Feb 13 04:00:00 EST 1995 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.74.1048· OSTI ID:6476431

Rajagopal, A K ^[1]

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1. 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), Journal Name: Physical Review Letters; (United States) Vol. 74:7; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN STATISTICS
DUALITY
ENTROPY
FERMI STATISTICS
FLUCTUATIONS
OCCUPATION NUMBER
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
VARIATIONS