%0 Journal Article
%T Fermionic coherent states for pseudo-Hermitian two-level systems
%A O. Cherbal
%A M. Drir
%A M. Maamache
%A D. A. Trifonov
%J Physics
%D 2006
%I arXiv
%R 10.1088/1751-8113/40/8/010
%X We introduce creation and annihilation operators of pseudo-Hermitian fermions for two-level systems described by pseudo-Hermitian Hamiltonian with real eigenvalues. This allows the generalization of the fermionic coherent states approach to such systems. Pseudo-fermionic coherent states are constructed as eigenstates of two pseudo-fermion annihilation operators. These coherent states form a bi-normal and bi-overcomplete system, and their evolution governed by the pseudo-Hermitian Hamiltonian is temporally stable. In terms of the introduced pseudo-fermion operators the two-level system' Hamiltonian takes a factorized form similar to that of a harmonic oscillator.
%U http://arxiv.org/abs/quant-ph/0608177v2