Bloch oscillations in a transmon embedded in a resonant electromagnetic environment
arXiv:2403.04623 · doi:10.1103/PhysRevB.110.054508
Abstract
Recently developed Josephson junction array transmission lines implement strong-coupling circuit electrodynamics compatible with a range of superconducting quantum devices. They provide both the high impedance which allows for strong quantum fluctuations, and photon modes with which to probe a quantum device, such as a small Josephson junction. In this high-impedance environment, current through the junction is accompanied by charge Bloch oscillations analogous to those in crystalline systems. However, the interplay between Bloch oscillations and environmental photon resonances remains largely unexplored. Here we describe the Bloch oscillations in a transmon-type qubit attached to high-impedance transmission lines with discrete photon spectra. Transmons are characterized by well-separated charge bands, favoring Bloch oscillations over Landau-Zener tunneling. We find resonances in the voltage--current relation and the spectrum of photons emitted by the Bloch oscillations. The transmon also scatters photons inelastically; we find the cross-section for a novel anti-Stokes-like process whereby photons gain a Bloch oscillation quantum. Our results outline how Bloch oscillations leave fingerprints for experiments across the DC, MHz, and GHz ranges.
arXiv comment9 pages, 4 figures
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Cited by in corpus (4)
- Circuit QED theory of direct and dual Shapiro steps with finite-size transmission line resonators
- Quantum simulation of the microscopic to macroscopic crossover using superconducting quantum impurities
- Revisiting dissipation-driven phase transition in a Josephson junction
- Photon-instanton scattering in a superconducting circuit: Beyond the very high impedance regime