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arXiv · 2202.08092

Factorization with a logarithmic energy spectrum of a central potential

Ferdinand Gleisberg·Wolfgang P. Schleich
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Abstract

We propose a method to factor numbers based on two interacting bosonic atoms in a central potential where the single-particle spectrum depends logarithmically on the radial quantum numbers of the zero angular momentum states. The bosons initially prepared in the ground state are excited by a sinusoidally time-dependent interaction into a state characterized by the quantum numbers which represent the factors of a number encoded in the frequency of the perturbation. We also discuss the full single-particle spectrum and limitations of our method caused by decoherence.

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Ferdinand Gleisberg, Wolfgang P. Schleich. 2022-02-16. Factorization with a logarithmic energy spectrum of a central potential. https://doi.org/10.12693/aphyspola.143.s112

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