ArticleNature communications2025
Quantum theory of Bloch oscillations in a resistively shunted transmon.
Article in Nature communications, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- The microwave phase locking in Bloch transistor.Nature communications · 2026Article
- A primary quantum current standard based on the Josephson and the quantum Hall effects.Nature communications · 2025Article
- Demonstration of dual Shapiro steps in small Josephson junctions.Nature communications · 2024Article
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Authors and funding
3 authors.
Funding
Abstract
A transmon qubit embedded in a high-impedance environment acts in a way dual to a conventional Josephson junction. In analogy to the AC Josephson effect, biasing of the transmon by a direct current leads to the oscillations of voltage across it. These oscillations are known as the Bloch oscillations. We find the Bloch oscillations spectrum, and show that the zero-point fluctuations of charge make it broadband. Despite having a broad-band spectrum, Bloch oscillations can be brought in resonance with an external microwave radiation. The resonances lead to steps in the voltage-current relation, which are dual to the conventional Shapiro steps. We find how the shape of the steps depends on the environment impedance R, parameters of the transmon, and the microwave amplitude. The Bloch oscillations rely on the insulating state of the transmon which is realized at impedances exceeding the Schmid transition point, R > R
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