Fermionic coherent states for pseudo-Hermitian two-level systems
摘要
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.
引用
@article{arxiv.quant-ph/0608177,
title = {Fermionic coherent states for pseudo-Hermitian two-level systems},
author = {O. Cherbal and M. Drir and M. Maamache and D. A. Trifonov},
journal= {arXiv preprint arXiv:quant-ph/0608177},
year = {2009}
}
备注
13 pages (Latex, article class), no figures; v2: some amendments in section 2, seven new refs added