7,501 research outputs found
Charge and Statistics of Quasiparticles in Fractional Quantum Hall Effec
We have studied here the charge and statistics of quasiparticle excitations
in FQH states on the basis of the Berry phase approach incorporating the fact
that even number of flux quanta can be gauged away when the Berry phase is
removed to the dynamical phase. It is observed that the charge and
statistical parameter of a quasiparticle at filling factor
are given by and
, with the fact that the charge of the quasihole is
opposite to that of the quasielectron. Using Laughlin wave function for
quasiparticles, numerical studies have been done following the work of
Kj{\o}nsberg and Myrheim \cite{KM} for FQH states at and it is
pointed out that as in case of quasiholes, the statistics parameter can be well
defined for quasielectrons having the value .Comment: 12 pages, 4 figure
On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six
An analytic proof is given which shows that it is impossible to extend any
triple of mutually unbiased (MU) product bases in dimension six by a single MU
vector. Furthermore, the 16 states obtained by removing two orthogonal states
from any MU product triple cannot figure in a (hypothetical) complete set of
seven MU bases. These results follow from exploiting the structure of MU
product bases in a novel fashion, and they are among the strongest ones
obtained for MU bases in dimension six without recourse to computer algebra.Comment: 12 pages, identical to published versio
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