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Add example input/output tuturials #118

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@nwlambert nwlambert commented Dec 23, 2024

Add first drafts of tutorial notebooks for HEOM input output feature.

These require qutip/qutip#2590 to function.

Todo list:

  • Improve and expand explanation of both notebooks (the Markovian Waveguide one in particular needs more detail)
  • Add third additional notebook showing non-Markovian waveguide example (maybe)

The waveguide example should be available soon also in the article https://arxiv.org/abs/2408.12221

Some of the functions used to define the waveguide correlations and parameters are taken from the code by mauro
https://github.com/mcirio/io-HEOM-Markovian/ and adapted under the MIT license for use here.

Add first drafts of tutorial notebooks for HEOM input output feature.
I wanted to slightly clarify the meaning of a Lorentzian bath, so altered the description a little bit.
Fixed some explanation and typos, improve latex formatting, use args for TD functions in t_out loop to avoid remaking RHS of heom.
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