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arXiv 2202.08092quant-ph
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具有对数能谱的中心势的因式分解

Factorization with a logarithmic energy spectrum of a central potential

Ferdinand Gleisberg, Wolfgang P. Schleich

AI总结:

提出一种基于中心势中两个相互作用玻色子原子的因数分解方法,利用对数依赖的单粒子谱,通过正弦微扰激发基态原子至表征因数的状态,并讨论了完整单粒子谱及退相干局限。

摘要:

我们提出了一种基于中心势中两个相互作用玻色子原子的因数分解方法,其中单粒子谱对零角动量态的径向量子数呈对数依赖。初始处于基态的玻色子被正弦时间相关相互作用激发,进入一个由量子数表征的状态,这些量子数代表了编码在微扰频率中的数的因数。我们还讨论了完整的单粒子谱以及由退相干引起的方法局限性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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