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docs/src/examples/protontransfer.md

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## Context
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The MPS formalism can also be used for physical chemistry problems. One development done with the `MPSDynamics.jl` package is the introduction of a reaction coordinate tensor, allowing the system to be described in space [^chin_ESIPT_2024]. It can model an electronic system with discretized states being described along a reaction coordinate. The introduction of a reaction coordinate allows to recover the well-known doublewell viewpoint and wavepacket dynamics can be analyzed with the reduced density matrix.
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The MPS formalism can also be used for physical chemistry problems. One development done with the `MPSDynamics.jl` package is the introduction of a reaction coordinate tensor, allowing the system to be described in space [^lede_ESIPT_2024]. It can model an electronic system with discretized states being described along a reaction coordinate. The introduction of a reaction coordinate allows to recover the well-known doublewell viewpoint and wavepacket dynamics can be analyzed with the reduced density matrix.
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Here is an illustrative example of two electronic configurations undergoing a tautomerization : the enol named $|e\rangle$ and the keto named $|k\rangle$.
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## Bibliography
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[^chin_ESIPT_2024]:
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[^lede_ESIPT_2024]:
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> Le Dé, B.; Huppert, S.; Spezia, R.; Chin, A.W Extending Non-Perturbative Simulation Techniques for Open-Quantum Systems to Excited-State Proton Transfer and Ultrafast Non-Adiabatic Dynamics https://arxiv.org/abs/2405.08693
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