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SciML / ExponentialUtilities.jl

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.
https://docs.sciml.ai/ExponentialUtilities/stable/
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[Feature request] `exp_timestep` for Schordinger picture? #156

Closed draftman9 closed 10 months ago

draftman9 commented 10 months ago

Is your feature request related to a problem? Please describe.

I want to evolve a quantum state by time-dependependent Schordinger equation in Schordinger picture:

$$ H(t)=H_0+H_s(t) $$

I find there is a function exp_timestep(ts,A,b[;adaptive,tol,kwargs...]) -> U : image

In Schordinger picture the tA above shoud be A0 + tA. The A0 is time-independent. I hope there is a chance to develop another function to support it. Or should I give out more details?

Thx for this great Pkg anyway!

ChrisRackauckas commented 10 months ago

exp(A0 + tA)b = exp(A0)b * exp(tA)b so you'd just have to do it in parts but the same tools would be used.