Driving regimes of a dissipative double quantum dot

Strong periodic driving of a multilevel quantum system enables both its characterization and control. We study Landau–Zener–Stückelberg–Majorana (LZSM) interferometry and spectroscopy [1, 2] in a strongly driven dissipative double quantum dot realized within a silicon CMOS transistor from the experiment [3]. The system consists of a charge qubit tunnel-coupled to a fermionic reservoir and subject to a periodic harmonic detuning drive. The dynamics are simulated by solving the Lindblad master equation using a GPU-accelerated solver with real-time interferogram and dynamics visualization. The results reproduce and explain the experimental interferograms. Four distinct excitation regimes are observed on a single LZSM interferogram: coherent multi-passage interference, single-passage, double-passage, and incoherent regimes, determined by the ratio of the driving period to the decoherence time. Our analysis clarifies how the interplay between strong driving and dissipation shapes the system’s behavior across four distinct driving regimes - from coherent interference to environment-induced localization of the charge state - providing a consistent theoretical framework for interpreting experiments on driven dissipative qubits.

[1] S. N. Shevchenko, A. I. Ryzhov and Franco Nori, Phys. Rev. B 98, 195434 (2018).

[2] A. I. Ryzhov, O. V. Ivakhnenko, S. N. Shevchenko, M. F. Gonzalez-Zalba and Franco Nori, Phys. Rev. Research 6, 033340 (2024).

[3] A. Chatterjee et al., Phys. Rev. B 97, 045405 (2018).