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Gradient symplectic algorithms for solving the Schrödinger equation with time-dependent potentials

Gradient symplectic algorithms for solving the Schrödinger equation with time-dependent potentials

We show that the method of factorizing the evolution operator to fourth order with purely positive coefficients, in conjunction with Suzuki’s method of implementing time-ordering of operators, produces a new class of powerful algorithms for solving the Schrödinger equation with time-dependent potentials. When applied to the Walker–Preston model of a …