Continued-fraction analysis of dressed systems: Application to periodically driven optical lattices

Zanon-Willette, T.; Clercq, Emeric de; Arimondo, E.

doi:10.1103/physreva.87.023424

Phys. Rev. A

2013

DOI: 10.1103/physreva.87.023424

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Continued-fraction analysis of dressed systems: Application to periodically driven optical lattices

T. Zanon-Willette¹,

Emeric de Clercq²,

E. Arimondo³

Abstract: International audienceRadio-frequency quantum engineering of spins is based on the dressing by a nonresonant electromagnetic field. Radio-frequency dressing occurs also for the motion of particles, electrons, or ultracold atoms, within a periodic spatial potential. The dressing, producing a renormalization and also a freeze of the system energy, is described by different approaches: dressed atom, magnetic resonance semiclassical treatment, and continued-fraction solution of the Schrödinger equation. A comparis… Show more

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Floquet space exploration for the dual-dressing of a qubit

Fregosi,

Marinelli,

Gabbanini

et al. 2023

Sci Rep

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The application of a periodic nonresonant drive to a system allows the Floquet engineering of effective fields described by a broad class of quantum simulated Hamiltonians. The Floquet evolution is based on two different elements. The first one is a time-independent or stroboscopic evolution with an effective Hamiltonian corresponding to the quantum simulation target. The second element is the time evolution at the frequencies of the nonresonant driving and of its harmonics, denoted as micromotion. We examine experimentally and theoretically the harmonic dual-dressing Floquet engineering of a cold atomic two-level sample. Our focus is the dressing operation with small bare energies and large Rabi frequencies, where frequencies and amplitudes of the stroboscopic/micromotion time evolutions are comparable. At the kHz range of our dressed atom oscillations, we probe directly both the stroboscopic and micromotion components of the qubit global time evolution. We develop ad-hoc monitoring tools of the Floquet space evolution. The direct record of the time evolution following a pulsed excitation demonstrates the interplay between the two components of the spin precession in the Floquet space. From the resonant pumping of the dressed system at its evolution frequencies, Floquet eigenenergy spectra up to the fifth order harmonic of the dressing frequency are precisely measured as function of dressing parameters. Dirac points of the Floquet eigenenergies are identified and, correspondingly, a jump in the dynamical phase shift is measured. The stroboscopic Hamiltonian eigenfrequencies are measured also from the probe of the micromotion sidebands.These monitoring tools are appropriate for quantum simulation/computation investigations. Our results evidence that the stroboscopic phase shift of the qubit wavefunction contains an additional information that opens new simulation directions.

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Floquet space exploration for the dual-dressing of a qubit

Fregosi,

Marinelli,

Gabbanini

et al. 2023

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

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Continued-fraction analysis of dressed systems: Application to periodically driven optical lattices

Cited by 1 publication

References 47 publications

Floquet space exploration for the dual-dressing of a qubit

Floquet space exploration for the dual-dressing of a qubit

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