2007/04/23 by Yao Shen, Wu-Sheng Dai, Mi Xie
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum optics and atomic interactions #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physreva.75.042111
published as Phys.Rev.A75:042111,2007 · 12 pages, no figures. Revtex
openalex publication_date 2007/04/23 · arxiv created 2007/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we first discuss the general properties of an intermediate-statistics quantum bracket, [u,v]n=uv\ensuremath-e^i2\ensuremathπ∕(n+1)vu, which corresponds to intermediate statistics in which the maximum occupation number of one quantum state is an arbitrary integer, n. A further study of the operator realization of intermediate statistics is given. We construct the intermediate-statistics coherent state. An intermediate-statistics oscillator is constructed, which returns to bosonic and fermionic oscillators respectively when n\ensuremath→\ensuremath∞ and n=1. The energy spectrum of such an intermediate-statistics oscillator is calculated. Finally, we discuss the intermediate-statistics representation of angular momentum [su(2)] algebra. Moreover, a further study of the operator realization of intermediate statistics is given in the Appendix.