Reconstruction approach to quantum dynamics of bosonic systems

Akseli Mäkinen, Joni Ikonen, Matti Partanen, Mikko Möttönen

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1 Citation (Scopus)


We propose an approach to analytically solve the quantum dynamics of bosonic systems. The method is based on reconstructing the quantum state of the system from the moments of its annihilation operators, dynamics of which is solved in the Heisenberg picture. The proposed dynamical reconstruction method is general in the sense that it does not require assumptions on the initial conditions of the system such as separability, or the structure of the system such as linearity. It is an alternative to the standard master-equation approaches, which are analytically demanding especially for large multipartite quantum systems. To demonstrate the proposed technique, we apply it to a system consisting of two coupled damped quantum harmonic oscillators.
Original languageEnglish
Article number042109
JournalPhysical Review A
Issue number4
Publication statusPublished - 11 Oct 2019
MoE publication typeA1 Journal article-refereed


This research was financially supported by European Research Council under Consolidator Grant No. 681311 (QUESS), Academy of Finland under its Centre of Excellence Program Grant No. 312300, the European Union via the Quantum Flagship project QMiCS (Grant No. 820505), Finnish Cultural Foundation, the Jane and Aatos Erkko Foundation, the Vilho, Yrjo and Kalle Vaisala Foundation, and the Technology Industries of Finland Centennial Foundation.


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