Reconstruction approach to quantum dynamics of bosonic systems

Akseli Mäkinen, Joni Ikonen, Matti Partanen, Mikko Möttönen

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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
Volume100
Issue number4
DOIs
Publication statusPublished - 11 Oct 2019
MoE publication typeA1 Journal article-refereed

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harmonic oscillators
linearity
moments
operators

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Mäkinen, A., Ikonen, J., Partanen, M., & Möttönen, M. (2019). Reconstruction approach to quantum dynamics of bosonic systems. Physical Review A, 100(4), [042109]. https://doi.org/10.1103/PhysRevA.100.042109
Mäkinen, Akseli ; Ikonen, Joni ; Partanen, Matti ; Möttönen, Mikko. / Reconstruction approach to quantum dynamics of bosonic systems. In: Physical Review A. 2019 ; Vol. 100, No. 4.
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Mäkinen, A, Ikonen, J, Partanen, M & Möttönen, M 2019, 'Reconstruction approach to quantum dynamics of bosonic systems', Physical Review A, vol. 100, no. 4, 042109. https://doi.org/10.1103/PhysRevA.100.042109

Reconstruction approach to quantum dynamics of bosonic systems. / Mäkinen, Akseli; Ikonen, Joni; Partanen, Matti; Möttönen, Mikko.

In: Physical Review A, Vol. 100, No. 4, 042109, 11.10.2019.

Research output: Contribution to journalArticleScientificpeer-review

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