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Fermionic coherent states for pseudo-Hermitian two-level systems

O. Cherbal·M. Drir·M. Maamache·D. A. Trifonov
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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.

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O. Cherbal, M. Drir, M. Maamache, D. A. Trifonov. 2009-02-27. Fermionic coherent states for pseudo-Hermitian two-level systems. https://doi.org/10.1088/1751-8113/40/8/010

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