Fermionic coherent states for pseudo-Hermitian two-level systems

Details Fermionic coherent states for pseudo-Hermitian two-level systems Fermionic coherent states for pseudo-Hermitian two-level systems

2006-08-23

arxiv.org/abs/quant-ph/0608177v2

J. Phys. A 40 (2007) 1835-1844

Physics

Quantum Physics

13 pages (Latex, article class), no figures; v2: some amendments in section 2, seven new refs added

Scientific paper

10.1088/1751-8113/40/8/010

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.

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