Classical Stückelberg interferometry of a nanomechanical two-mode system

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2016
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Kölbl, Johannes
Faust, Thomas
Kotthaus, Jörg P.
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Physical Review B. 2016, 94(24), 245406. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.94.245406
Zusammenfassung

Stückelberg interferometry is a phenomenon that has been well established for quantum-mechanical two-level systems. Here, we present classical two-mode interference of a nanomechanical two-mode system, realizing a classical analog of Stückelberg interferometry. Our experiment relies on the coherent energy exchange between two strongly coupled, high-quality factor nanomechanical resonator modes. Furthermore, we discuss an exact theoretical solution for the double-passage Stückelberg problem by expanding the established finite-time Landau-Zener single-passage solution. For the parameter regime explored in the experiment, we find that the Stückelberg return probability in the classical version of the problem formally coincides with the quantum case, which reveals the analogy of the return probabilities in the quantum-mechanical and the classical version of the problem. This result qualifies classical two-mode systems at large to simulate quantum-mechanical interferometry.

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530 Physik
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Stückelberg, interferometry, nanomechanical, two-mode system
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ISO 690SEITNER, Maximilian, Hugo RIBEIRO, Johannes KÖLBL, Thomas FAUST, Jörg P. KOTTHAUS, Eva M. WEIG, 2016. Classical Stückelberg interferometry of a nanomechanical two-mode system. In: Physical Review B. 2016, 94(24), 245406. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.94.245406
BibTex
@article{Seitner2016-12-05Class-36647,
  year={2016},
  doi={10.1103/PhysRevB.94.245406},
  title={Classical Stückelberg interferometry of a nanomechanical two-mode system},
  number={24},
  volume={94},
  issn={2469-9950},
  journal={Physical Review B},
  author={Seitner, Maximilian and Ribeiro, Hugo and Kölbl, Johannes and Faust, Thomas and Kotthaus, Jörg P. and Weig, Eva M.},
  note={Article Number: 245406}
}
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