Suppression of multiphoton resonances in driven quantum systems via pulse shape optimization

Abstract

This Letter demonstrates control over multiphoton absorption processes in driven two-level systems, which include for example superconducting qubits or laser-irradiated graphene, through spectral shaping of the driving pulse. Starting from calculations based on Floquet theory, we use differential evolution, a general purpose optimization algorithm, to find the Fourier coefficients of the driving function that suppress a given multiphoton resonance in the strong field-regime. We show that the suppression of the transition probability is due to the coherent superposition of high-order Fourier harmonics which closes the dynamical gap between the Floquet states of the two-level system.

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• An analytical double-unitary-transformation approach for strongly and periodically driven three-level systems
• Tuning the initial phase to control the final state of a driven qubit
• Spontaneous decay processes in a classical strong low-frequency laser field
• Pulse shaping in the terahertz frequency range for the control of photo-excited carriers in graphene
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Floquet dynamics of Rabi model beyond the counterrotating hybridized rotating wave method
• Generating scalable entanglement of ultracold bosons in superlattices through resonant shaking
• Effective dynamics and quantum state engineering by periodic kicks