Instability zones in the dynamics of a quantum mechanical quasiperiodic parametric oscillator

Biswas, Subhadip ; Chowdhury, Pratyusha ; Bhattacharjee, Jayanta K (2021) Instability zones in the dynamics of a quantum mechanical quasiperiodic parametric oscillator Communications in Nonlinear Science and Numerical Simulation, 93 . p. 105537. ISSN 1007-5704

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Official URL: http://doi.org/10.1016/j.cnsns.2020.105537

Related URL: http://dx.doi.org/10.1016/j.cnsns.2020.105537

Abstract

Quasiperiodically driven quantum parametric oscillators have been the subject of several recent investigations. Here we show that for such oscillators, the instability zones of the mean position and variance (alternatively the mean energy) for a time developing wave packet are identical for the strongest resonance in the three-dimensional parameter space of the quasiperiodic modulation as it is for the two-dimensional parameter space of the periodic modulations.

Item Type:Article
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ID Code:133791
Deposited On:30 Dec 2022 08:25
Last Modified:30 Dec 2022 08:25

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