Factorization with a Logarithmic Energy Spectrum of a Central Potential

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F. Gleisberg
W.P. Schleich


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 states corresponding to zero angular momentum. Bosons initially prepared in the ground state are excited by a sinusoidally time-dependent interaction into a state characterized by quantum numbers, which represent the factors of the number encoded in the frequency of the perturbation. We also discuss the complete single-particle spectrum as well as the limitations of our method caused by decoherence.

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How to Cite
F. Gleisberg and W. Schleich, “Factorization with a Logarithmic Energy Spectrum of a Central Potential”, Acta Phys. Pol. A, vol. 143, no. 6, p. S112, Jun. 2023, doi: 10.12693/APhysPolA.143.S112.


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