Designing adiabatic time-evolution from high frequency bichromatic sources

Abstract

We investigate the quantum dynamics of a two-level system driven by a bichromatic field, using a non-perturbative analysis. We make special emphasis in the case of two large frequencies, where the Magnus expansion can fail, and in the case of a large and a small frequency, where resonances can dominate. In the first case, we show that two large frequencies can be combined to produce an effective adiabatic evolution. In the second case, we show that high frequency terms (which naturally arise as corrections to the adiabatic evolution obtained in the first case) can be used to produce a highly tunable adiabatic evolution over the whole Bloch sphere, controlled by multi-photon resonances.

5 pages, 8 figures and Appendix. To be published in Physical Review Research

References in corpus (9)

• Driven coherent oscillations of a single electron spin in a quantum dot
• The Magnus expansion and some of its applications
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Direct Observation of Quantum Coherence in Single-Molecule Magnets
• Floquet engineering of long-range p-wave superconductivity
• Nuclear spin dynamics in the quantum regime of a single-molecule magnet
• Dark Bell states in tunnel-coupled spin qubits
• Discontinuous conductance of bichromatically ac-gated quantum wires
• Transport blocking and topological phases using ac magnetic fields