RING: Rabi oscillations induced by nonresonant geometric drive

TL;DR

This paper introduces RING, a novel method for inducing Rabi oscillations in two-level quantum systems using nonresonant, elliptical driving fields, expanding quantum control capabilities beyond traditional resonant techniques.

Contribution

The study demonstrates a new off-resonant control mechanism called RING, enabling coherent oscillations without energy exchange, with potential for high-frequency amplification and noise filtering.

Findings

RING induces Rabi oscillations with nonresonant elliptical drive.

Analytical understanding via Floquet and perturbation theory.

Potential for high-frequency amplification and noise filtering.

Abstract

Coherent control of two-level quantum systems is typically achieved using resonant driving fields, forming the basis for qubit operations. Here, we report a mechanism for inducing complete Rabi oscillations in monochromatically driven two-level quantum systems, when the drive frequency is much larger than the Larmor frequency of the qubit. This effect$\unicode{x2015}$Rabi oscillations induced by nonresonant geometric drive (RING)$\unicode{x2015}$requires that the control field is elliptical, enclosing a nonzero area per cycle. We illustrate the effect with numerical simulations, and provide an analytical understanding via a simple effective Hamiltonian obtained from Floquet theory and perturbation theory. We show that RING enables coherent oscillations without relying on resonant energy exchange, allows for high-pass noise filtering, provides access to non-Abelian phases in finite magnetic fields. We detail a realization in electrically driven spin-orbit qubits and argue that the RING mechanism enables amplification of the Rabi frequency using the same gate voltage amplitudes at higher drive frequencies. Our results broaden the landscape of quantum control techniques, by highlighting a pathway to achieving coherent oscillations under off-resonant driving conditions.