Kavli Affiliate: Gary A. Steele
| First 5 Authors: Byoung-moo Ann, Wouter Kessels, Gary. A. Steele, ,
| Summary:
Driving quantum systems periodically in time plays an essential role in the
coherent control of quantum states. The rotating wave approximation (RWA) is a
good approximation technique for weak and nearly-resonance driven fields.
However, these experiments sometimes require large detuning and strong driving
fields, for which the RWA may not hold. In this work, we experimentally,
numerically, and analytically explore strongly driven two-mode Josephson
circuits in the regime of strong driving and large detuning. Specifically, we
investigate beam-splitter and two-mode squeezing interaction between the two
modes induced by driving a two-photon sideband transition. Using numerical
simulations, we observe that the RWA is unable to correctly capture the
amplitude of the sideband transition rates. We verify this finding using an
analytical model that is based on perturbative corrections. We find that the
breakdown of the RWA in the regime studied does not lead to qualitatively
different dynamics, but gives the same results as the RWA theory at higher
drive strengths, enhancing the coupling rates compared to what one would
predict. This is an interesting consequence compared to the carrier transition
case, where the breakdown of the RWA results in qualitatively different time
evolution of the quantum state. Our work provides an insight into the behavior
of time-periodically driven systems beyond the RWA. We also provide a robust
theoretical framework for including these findings in the calculation and
calibration of quantum protocols in circuit quantum electrodynamics.
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