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AIP conference proceedings

Treatment of a two-level system with a pseudo-Hermitian Hamiltonian by the spin coherent state path integral approach

Mekki Aouachria, Farida Halimi, Rima Rekik

Published Jan 1, 2013• 1 citation
Publisher

Abstract

Time development of the two-level system with pseudo-Hermitian Hamiltonian is studied using the spin coherent state path integral. The propagator is first written in the standard form by replacing the spin by a unit vector aligned along the polar and azimuthal directions (θ, φ). Then it is determined exactly using perturbation methods. The metric of the pseudo-Hermitian Hamiltonian and its bi-orthonormal basis of system states are deduced.

DOI
10.1063/1.4823882

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Time development of the two-level system with pseudo-Hermitian Hamiltonian is studied using the spin coherent state path integral. The propagator is first written in the standard form by replacing the spin by a unit vector aligned along the polar and azimuthal directions (θ, φ). Then it is determined exactly using perturbation methods. The metric of the pseudo-Hermitian Hamiltonian and its bi-orthonormal basis of system states are deduced.