Solving coupled Non-linear Schr\"odinger Equations via Quantum Imaginary Time Evolution
Abstract
Coupled non-linear Schr\"odinger 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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