Abstract
Fundamentally, all non-unitary behaviour of an open quantum system, Markovian or non-Markovian, mathematically originates from time-nonlocality present in its Liouvillian. Despite the unavoidable emergence of time-nonlocal Liouvillians in modelling open systems, there is no known practical and general way of using such Liouvillians to calculate observables exactly, even if a closed form of the Liouvillian can be found. It is not even known what the most general closed form of time-nonlocal Liouvillian is that guarantees physicality of an open system.
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Strathearn, A. (2020). Method. In: Modelling Non-Markovian Quantum Systems Using Tensor Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-54975-6_3
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DOI: https://doi.org/10.1007/978-3-030-54975-6_3
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