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arXiv 2401.17138nucl-thquant-ph
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基于量子计算的核散射研究

Nuclear scattering via quantum computing

Peiyan Wang, Weijie Du, Wei Zuo, James P. Vary

AI总结:

本研究提出混合量子-经典框架,结合多体形式体系与修正有效程展开,利用量子计算求解多核子哈密顿量本征值,经经典计算得到核弹性散射相移,经IBM Qiskit模拟验证结果与理论吻合。

摘要:

我们提出一种混合量子-经典框架,用于求解非耦合道中两个束缚良好原子核的弹性散射相移。在该框架内,我们构建了多体形式体系,其中两个碰撞核的连续散射态由强度可变的弱外谐振子势进行调节。基于该形式体系,我们提出一种方法,用于计算碰撞核相对运动的低能散射态本征能量,该能量是束缚势振子强度的函数。利用修正的有效程展开,我们将这些本征能量外推至外势趋于零的极限,从而得到碰撞核的弹性散射相移。在我们的混合方法中,我们利用量子计算的优势,从一系列多核子哈密顿量本征值问题中求解这些本征能量。这些本征能量作为输入传入经典计算机以得到相移。我们通过两个简单问题验证了该框架,其中我们采用rodeo algorithm(竞技算法),借助IBM Qiskit量子模拟器求解相关本征能量。能谱和弹性散射相移的结果均与其他理论结果吻合良好。

英文摘要:

We propose a hybrid quantum-classical framework to solve the elastic scattering phase shift of two well-bound nuclei in an uncoupled channel. Within this framework, we develop a many-body formalism in which the continuum scattering states of the two colliding nuclei are regulated by a weak external harmonic oscillator potential with varying strength. Based on our formalism, we propose an approach to compute the eigenenergies of the low-lying scattering states of the relative motion of the colliding nuclei as a function of the oscillator strength of the confining potential. Utilizing the modified effective range expansion, we extrapolate the elastic scattering phase shift of the colliding nuclei from these eigenenergies to the limit when the external potential vanishes. In our hybrid approach, we leverage the advantage of quantum computing to solve for these eigenenergies from a set of many-nucleon Hamiltonian eigenvalue problems. These eigenenergies are inputs to classical computers to obtain the phase shift. We demonstrate our framework with two simple problems, where we implement the rodeo algorithm to solve the relevant eigenenergies with the IBM Qiskit quantum simulator. The results of both the spectra and the elastic scattering phase shifts agree well with other theoretical results.

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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