Observation of the dynamical Casimir effect in a superconducting circuit
Open accessAbstract
One of the most surprising predictions of modern quantum theory is that the vacuum of space is not empty. In fact, quantum theory predicts that it teems with virtual particles flitting in and out of existence. Although initially a curiosity, it was quickly realized that these vacuum fluctuations had measurable consequences--for instance, producing the Lamb shift of atomic spectra and modifying the magnetic moment of the electron. This type of renormalization due to vacuum fluctuations is now central to our understanding of nature. However, these effects provide indirect evidence for the existence of vacuum fluctuations. From early on, it was discussed whether it might be possible to more directly observe the virtual particles that compose the quantum vacuum. Forty years ago, it was suggested that a mirror undergoing relativistic motion could convert virtual photons into directly observable real photons. The phenomenon, later termed the dynamical Casimir effect, has not been demonstrated previously. Here we observe the dynamical Casimir effect in a superconducting circuit consisting of a coplanar transmission line with a tunable electrical length. The rate of change of the electrical length can be made very fast (a substantial fraction of the speed of light) by modulating the inductance of a superconducting quantum interference device at high frequencies (>10 gigahertz). In addition to observing the creation of real photons, we detect two-mode squeezing in the emitted radiation, which is a signature of the quantum character of the generation process.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The dynamical Casimir effect due to moving boundaries was first observed in a superconducting circuit in 2011, in a context where gravity can be neglected.
“The correction to the Casimir energy due to moving boundaries, the dynamical Casimir effect, was first observed in a superconducting circuit in 2011 [17], in a context where gravity can be neglected.”
From Stress-energy tensor of a scalar field on a product spacetime with a time-dependent compact dimension (2026) · cites this paper as [17]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
No references could be resolved yet.
Research works printed but not linked: 4
- [1]M. O. Scully and M. S. Zubairy, Quantum optics (Cambridge University Press, 1997).
- [4]H. B. G. Casimir, Proc. Kon. Nederland. Akad. Wetensch. B51 , 793 (1948).
- [15]P. D. Nation, J. R. Johansson, M. P. Blencowe, and F. Nori, arXiv quant-ph (2011), 1103.0835v1.
- [17]S. A. Fulling and P. C. W. Davies, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 348 , 393 (1976).
Cited by
Sorted by citations
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932 · see citing works
“such as the dynamical Casimir effect (Johansson et al., 2010; Lähteenmäki et al., 2013; Wilson et al., 2011).”
BackgroundSelf-citationQuantum Emulation of Molecular Force Fields: A Blueprint for a Superconducting Architecture
Olivares, D. G., Peropadre, B., Huh, J., & García-Ripoll, J. J. (2017) · Physical Review Applied · doi:10.1103/physrevapplied.8.064008 · Cited by 6 · see citing works
Paul, A., & Paban, S. (2026) · Journal of High Energy Physics · doi:10.1007/jhep09(2026)188
- Authors
- Wilson, C. M., Johansson, G., Pourkabirian, A., Simoen, M., Johansson, J. R., Duty, T., Nori, F., & Delsing, P.
- Affiliations
- Chalmers University of Technology (SE)
- RIKEN (JP)
- UNSW Sydney (AU)
- University of Michigan (US)
- Corresponding author
- Wilson, C. M.
- Venue
- Nature
- Published
- 2011-11
- Volume
- 479
- Issue
- 7373
- Pages
- 376-379
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2120424887
- Cited by
- 946
- References
- 0
- Citations by year
- 2026: 31 · 2025: 55 · 2024: 55 · 2023: 49 · 2022: 55 · 2021: 51 · 2020: 73 · 2019: 77 · 2018: 69 · 2017: 70 · 2016: 67 · 2015: 81 · 2014: 78 · 2013: 74 · 2012: 55
- FWCI
- 36.81
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Chalmers Publication Library (Chalmers University of Technology) (submittedVersion)
- Chalmers Research (Chalmers University of Technology) (submittedVersion)
- arXiv (Cornell University)
- Bulletin of the American Physical Society
- Funders
- Japan Society for the Promotion of Science (22224007)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Mechanical and Optical Resonators
- Keywords
- dynamical Casimir effect, superconducting circuits, vacuum fluctuations, virtual photons, photon pair generation, two-mode squeezing, superconducting quantum interference devices, coplanar transmission lines, Lamb shift, Casimir effect
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review