Fermionic coherent states for pseudo-Hermitian two-level systems
arXiv:quant-ph/0608177 · doi:10.1088/1751-8113/40/8/010
Abstract
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.
13 pages (Latex, article class), no figures; v2: some amendments in section 2, seven new refs added