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Trapped Ion Quantum Computing

An analysis of states in the phase space: the anharmonic oscillator

arXiv
Authors: Sebastiano Tosto

Year

2011

Paper ID

8771

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

The paper introduces a simple quantum model to calculate in a general way allowed frequencies and energy levels of the anharmonic oscillator. The theoretical basis of the approach has been introduced in two early papers aimed to infer the properties of quantum systems exploiting the uncertainty principle only. For clarity the anharmonic oscillator is described having in mind the lattice oscillations of atoms/ions, yet quantum formalism of the model and approach have general character and can be extended to any oscillating system. The results show that the harmonic energy levels split into a complex system of energy levels dependent upon the number of anharmonic terms that characterize the oscillator.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • The paper introduces a simple quantum model to calculate in a general way allowed frequencies and energy levels of the anharmonic oscillator.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1105.3615 [2] arXiv https://arxiv.org/abs/1105.3615 [3] Publisher https://arxiv.org/abs/1105.3615

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