Abstract
The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in the environment. An iterative algorithm for modeling the dynamics of an atomic system in the extended Tavis–Cummings model in terms of a pure state is proposed. The correctness of this algorithm is shown on the example of the interaction of an atomic system with the environment through the exchange of photons with the preservation of coherence. This algorithm is applicable to a wide class of processes associated with photonic machinery, in particular, to chemical reactions.
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Translated from Prikladnaya Matematika i Informatika, No. 73, 2023, pp. 99–111.
This article is a translation of the original article published in Russian in the journal Prikladnaya Matematika i Informatika. The translation was done with the help of an artificial intelligence machine translation tool, and subsequently reviewed and revised by an expert with knowledge of the field. Springer Nature works continuously to further the development of tools for the production of journals, books and on the related technologies to support the authors.
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Ozhigov, Y., Jiangchuan, Y. Description of the non-Markovian dynamics of atoms in terms of a pure state. Comput Math Model (2024). https://doi.org/10.1007/s10598-024-09596-7
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DOI: https://doi.org/10.1007/s10598-024-09596-7