Related papers: Fixing the rotating-wave approximation for strongly-detuned quantum oscillators

Fixing the rotating-wave approximation for strongly-detuned quantum oscillators

URL: http://arxiv.org/abs/2202.13172v1
Date: Sat, 26 Feb 2022 16:10:58 GMT
Title: Fixing the rotating-wave approximation for strongly-detuned quantum oscillators
Authors: Jan Ko\v{s}ata, Anina Leuch, Tobias K\"astli, Oded Zilberberg
Abstract summary: We show that the standard quantum description leads to incorrect results when combined with the RWA. We present an alternative operator basis which reconciles the RWA with off-resonant driving.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Periodically-driven oscillators are commonly described in a frame co-rotating 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 creation and annihilation of particles with the oscillator's natural frequency, necessarily leads to incorrect results when combined with the RWA. We demonstrate this on the simple harmonic oscillator and present an alternative operator basis which 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 the driven quantum Duffing oscillator.

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