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arXiv · 2402.01623

Solving coupled Non-linear Schr\"{o}dinger Equations via Quantum Imaginary Time Evolution

Yang Hong Li·Jim Al-Khalili·Paul Stevenson
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Abstract

Coupled non-linear Schr\"{o}dinger equations are crucial in describing dynamics of many particle systems. We present a quantum imaginary time evolution (ITE) algorithm as a solution to such equations in the case of nuclear Hartree-Fock equations. Under a simplified Skyrme interaction model, we calculate the ground state energy of an oxygen-16 nucleus and demonstrate that the result is in agreement with the classical ITE algorithm.

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Yang Hong Li, Jim Al-Khalili, Paul Stevenson. 2024-02-02. Solving coupled Non-linear Schr\"{o}dinger Equations via Quantum Imaginary Time Evolution. https://doi.org/10.1140/epjs/s11734-024-01384-z

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