Silveri, M.P., Kumar, K.S., Tuorila, J., Li, J., Vepsäläinen, A., Thuneberg, E.V. and Paraoanu, G.S. (2015) Stückelberg interference in a superconducting qubit under periodic latching modulation. New Journal of Physics, 17(4), 043058. (doi: 10.1088/1367-2630/17/4/043058)
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Abstract
When the level separation of a qubit is modulated periodically across an avoided crossing, tunneling to the excited state—and consequently Landau–Zener–Stückelberg interference—can occur. The types of modulation studied so far correspond to a continuous change of the level separation. Here we study periodic latching modulation, in which the level separation is switched abruptly between two values and is kept constant otherwise. In this case, the conventional approach based on the asymptotic Landau–Zener formula for transition probabilities is not applicable. We develop a novel adiabatic-impulse model for the evolution of the system and derive the resonance conditions. Additionally, we derive analytical results based on the rotating-wave approximation (RWA). The adiabatic-impulse model and the RWA results are compared with those of a full numerical simulation. These theoretical predictions are tested in an experimental setup consisting of a transmon whose flux bias is modulated with a square wave form. A rich spectrum is observed, with distinctive features correspoding to two regimes: slow-modulation and fast-modulation. These experimental results are shown to be in very good agreement with the theoretical models. Also, differences with respect to the well known case of sinusoidal modulation are discussed, both theoretically and experimentally
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Li, Dr Jian |
| Authors: | Silveri, M.P., Kumar, K.S., Tuorila, J., Li, J., Vepsäläinen, A., Thuneberg, E.V., and Paraoanu, G.S. |
| College/School: | College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering |
| Journal Name: | New Journal of Physics |
| Publisher: | Institute of Physics Publishing Ltd. |
| ISSN: | 1367-2630 |
| ISSN (Online): | 1367-2630 |
| Copyright Holders: | Copyright © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft |
| First Published: | First published in New Journal of Physics 17(4):043058 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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