Fixing the rotating-wave approximation for strongly detuned quantum oscillators

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2022
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Košata, Jan
Leuch, Anina
Kästli, Tobias
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Physical Review Research. American Physical Society. 2022, 4(3), 033177. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.4.033177
Zusammenfassung

Periodically driven oscillators are commonly described in a frame corotating with the drive and using the rotating-wave approximation (RWA). This description, however, is known to induce errors for off-resonant driving. Here, we show that the standard quantum description, using the creation and annihilation of particles with the oscillators' natural frequency, necessarily leads to incorrect results when combined with the RWA. We demonstrate this on the simple (quantum) harmonic oscillator and present an alternative operator basis that reconciles the RWA with off-resonant driving. The approach is also applicable to more complex models, where it accounts for known discrepancies. As an example, we demonstrate the advantage of our scheme on a driven quantum Duffing oscillator.

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ISO 690KOŠATA, Jan, Anina LEUCH, Tobias KÄSTLI, Oded ZILBERBERG, 2022. Fixing the rotating-wave approximation for strongly detuned quantum oscillators. In: Physical Review Research. American Physical Society. 2022, 4(3), 033177. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.4.033177
BibTex
@article{Kosata2022-09-06Fixin-58573,
  year={2022},
  doi={10.1103/PhysRevResearch.4.033177},
  title={Fixing the rotating-wave approximation for strongly detuned quantum oscillators},
  number={3},
  volume={4},
  journal={Physical Review Research},
  author={Košata, Jan and Leuch, Anina and Kästli, Tobias and Zilberberg, Oded},
  note={Article Number: 033177}
}
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