Amplification of the parametric dynamical Casimir effect via optimal control

Abstract

We introduce different strategies to enhance photon generation in a cavity within the Rabi model in the ultrastrong coupling regime. We show that a bang-bang strategy allows to enhance the effect of up to one order of magnitude with respect to simply driving the system in resonance for a fixed time. Moreover, up to about another order of magnitude can be gained exploiting quantum optimal control strategies. Finally, we show that such optimized protocols are robust with respect to systematic errors and noise, paving the way to future experimental implementations of such strategies.

An Optimal Control Framework for the Automated Design of Personalized Cancer Treatments

“…In Figure 7, one can notice that L variation with respect to the noise level follows an approximately quadratic trend, which is proven by fitting the data points with a curve with equation b + aσ 2 r (the complete results of the fit are provided in Table S5). Note that such results are in agreement with other works that use quantum optimal control (Montangero et al, 2007;Kallush et al, 2014;Hoeb and et al, 2017). We performed a further robustness analysis, to assess the impact of systematic errors, as those possibly due to scarce reliability of the demographic study and/or to small or imbalanced datasets, and which may result in errors in the estimation of the PK parameters.…”

“…This depends on the complexity of the search space and by the computational resources available. Yet, as proven in several real-world applications (Doria et al, 2011;Rach et al, 2015;Hoeb and et al, 2017;Omran et al, 2019) RedCRAB was proven to be a computationally efficient and robust technique.…”

Fifty Years of the Dynamical Casimir Effect

“…Many papers were devoted to the interaction between the "Casimir photons" and multilevel systems ("atoms" or "qubits") inside cavities or quantum circuits [306,. In particular, two-level atoms (qubits) were considered in [306,378,[380][381][382]384,386,391,392,394,400,401,403,404,408]. Two two-level atoms were studied in [390,396,405,407], and ensembles of many two-level atoms in [383,385,388,395,397,398,401,406].…”

One- and three-photon dynamical Casimir effects using a nonstationary cyclic qutrit

“…Hence for constant η J Λ J − Λ 0 (adjusted to generate photons from vacuum) the coupling between the states |ζ k → |ζ k+J goes off resonance as k increases and we expect a limited photon production. We note that several methods to enhance the photon generation were proposed in similar setups, e.g., multi-tone modulations [21,39], time-varying modulation frequency including effective Landau-Zener transitions [57] and optimum control strategies [58].…”