Amplitude Spectroscopy of a Solid-State Artificial Atom

TL;DR

This paper introduces a novel amplitude spectroscopy method for solid-state artificial atoms, enabling energy-level characterization over broad bandwidths using fixed-frequency driving, overcoming limitations of traditional frequency spectroscopy.

Contribution

The authors demonstrate amplitude spectroscopy as an alternative to frequency spectroscopy, allowing energy spectrum determination with a single, fixed low-frequency drive in superconducting artificial atoms.

Findings

Successfully mapped energy levels from 0.01 to 120 GHz imes h.

Identified interference patterns and population inversion in spectroscopy diamonds.

Enabled broad bandwidth characterization with a fixed low-frequency drive.

Abstract

The energy-level structure of a quantum system plays a fundamental role in determining its behavior and manifests itself in a discrete absorption and emission spectrum. Conventionally, spectra are probed via frequency spectroscopy whereby the frequency \nu of a harmonic driving field is varied to fulfill the conditions \Delta E = h \nu, where the driving field is resonant with the level separation \Delta E (h is Planck's constant). Although this technique has been successfully employed in a variety of physical systems, including natural and artificial atoms and molecules, its application is not universally straightforward, and becomes extremely challenging for frequencies in the range of 10's and 100's of gigahertz. Here we demonstrate an alternative approach, whereby a harmonic driving field sweeps the atom through its energy-level avoided crossings at a fixed frequency, surmounting many of the limitations of the conventional approach. Spectroscopic information is obtained from the amplitude dependence of the system response. The resulting ``spectroscopy diamonds'' contain interference patterns and population inversion that serve as a fingerprint of the atom's spectrum. By analyzing these features, we determine the energy spectrum of a manifold of states with energies from 0.01 to 120 GHz \times h in a superconducting artificial atom, using a driving frequency near 0.1 GHz. This approach provides a means to manipulate and characterize systems over a broad bandwidth, using only a single driving frequency that may be orders of magnitude smaller than the energy scales being probed.