Exact and approximated solutions for the harmonic and anharmonic repulsive oscillators: Matrix method
Instituto Nacional de Astrofísica, Óptica y Electrónica, INAOE, Calle Luis Enrique Erro 1, Santa Mara Tonantzintla, San Andrés Cholula, Puebla 72840, Mexico
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Received in final form: 18 May 2020
Published online: 1 July 2020
We study the repulsive harmonic oscillator and an extension of this system, with an additional linear anharmonicity term. The system is solved in exact and perturbative form, the latter by using the so-called normalized perturbative matrix method. The perturbative solution up to second order is compared with the exact solution when the system is initially in coherent and a Schrödinger-cat states.
Key words: Quantum Optics
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020