Exact analytical series for evolution operators of four time-dependent 2-level Hamiltonians (including stochastic) are obtained via ★-algebra, path-sums and Omega calculus, yielding all-orders Floquet Hamiltonians.
8ÿ k“´8 Jn´ℓkpxqJkpyq,(B4) whereℓmay be any integer and we used the notationJ npx, yq
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Exactly solved Schr\"odinger equations with time-dependent Hamiltonians
Exact analytical series for evolution operators of four time-dependent 2-level Hamiltonians (including stochastic) are obtained via ★-algebra, path-sums and Omega calculus, yielding all-orders Floquet Hamiltonians.