Abstract
The on-demand generation of pure quantum excitations is important for the operation of quantum systems, but it is particularly difficult for a system of fermions. This is because any perturbation affects all states below the Fermi energy, resulting in a complex superposition of particle and hole excitations. However, it was predicted nearly 20 years ago1,2,3 that a Lorentzian time-dependent potential with quantized flux generates a minimal excitation with only one particle and no hole. Here we report that such quasiparticles (hereafter termed levitons) can be generated on demand in a conductor by applying voltage pulses to a contact. Partitioning the excitations with an electronic beam splitter generates a current noise that we use to measure their number. Minimal-excitation states are observed for Lorentzian pulses, whereas for other pulse shapes there are significant contributions from holes. Further identification of levitons is provided in the energy domain with shot-noise spectroscopy, and in the time domain with electronic Hong–Ou–Mandel noise correlations4,5,6,7,8. The latter, obtained by colliding synchronized levitons on a beam splitter, exemplifies the potential use of levitons for quantum information: using linear electron quantum optics9 in ballistic conductors, it is possible to imagine flying-qubit10,11 operation in which the Fermi statistics are exploited12,13,14 to entangle synchronized electrons emitted by distinct sources15,16,17,18. Compared with electron sources based on quantum dots19,20,21, the generation of levitons does not require delicate nanolithography, considerably simplifying the circuitry for scalability. Levitons are not limited to carrying a single charge, and so in a broader context n-particle levitons could find application in the study of full electron counting statistics22,23,24,25. But they can also carry a fraction of charge if they are implemented in Luttinger liquids3 or in fractional quantum Hall edge channels26; this allows the study of Abelian and non-Abelian quasiparticles in the time domain. Finally, the generation technique could be applied to cold atomic gases27,28, leading to the possibility of atomic levitons.
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References
Levitov, L. S., Lee, H. & Lesovik, G. Electron counting statistics and coherent states of electric current. J. Math. Phys. 37, 4845–4856 (1996)
Ivanov, D. A. Lee, H. W. & Levitov, L. S. Coherent states of alternating current. Phys. Rev. B 56, 6839–6850 (1997)
Keeling, J., Klich, I. & Levitov, L. Minimal excitation states of electrons in one-dimensional wires. Phys. Rev. Lett. 97, 116403 (2006)
Hong, C. K., Ou, Z. Y. & Mandel, L. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044–2046 (1987)
Henny, M. et al. The fermionic Hanbury Brown and Twiss experiment. Science 284, 296–298 (1999)
Oliver, W. D., Kim, J., Liu, R. C. & Yamamoto, Y. Hanbury Brown and Twiss-type experiment with electrons. Science 284, 299–301 (1999)
Liu, R. C., Odom, B., Yamamoto, Y. & Tarucha, S. Quantum interference in electron collision. Nature 391, 263–265 (1998)
Bocquillon, E. et al. Coherence and indistinguishability of single electrons emitted by independent sources. Science 339, 1054–1057 (2013)
Ji, Y. et al. An electronic Mach–Zehnder interferometer. Nature 422, 415–418 (2003)
Bertoni, A., Bordone, P., Brunetti, R., Jacoboni, C. & Reggiani, S. Quantum logic gates based on coherent electron transport in quantum wires. Phys. Rev. Lett. 84, 5912–5915 (2000)
Yamamoto, M. et al. Electrical control of a solid-state flying qubit. Nature Nanotechnol. 7, 247–251 (2012)
Burkard, G., Loss, D. & Sukhorukov, E. V. Noise of entangled electrons: bunching and antibunching. Phys. Rev. B 61, R16303–R16306 (2000)
Beenakker, C. W. J. Emary, C. Kindermann, M. & van Velsen, J. L. Proposal for production and detection of entangled electron-hole pairs in a degenerate electron gas. Phys. Rev. Lett. 91, 147901 (2003)
Samuelsson, P., Sukhorukov, E. V. & Büttiker, M. Two-particle Aharonov-Bohm effect and entanglement in the electronic Hanbury Brown–Twiss setup. Phys. Rev. Lett. 92, 026805 (2004)
Ol’khovskaya, S., Splettstoesser, J., Moskalets, M. & Büttiker, M. Shot noise of a mesoscopic two-particle collider. Phys. Rev. Lett. 101, 166802 (2008)
Splettstoesser, J., Moskalets, M. & Büttiker, M. Two-particle nonlocal Aharonov-Bohm effect from two single-particle emitters. Phys. Rev. Lett. 103, 076804 (2009)
Haack, G., Moskalets, M., Splettstoesser, J. & Büttiker, M. Coherence of single-electron sources from Mach-Zehnder interferometry. Phys. Rev. B 84, 081303 (2011)
Sherkunov, Y. B., d’Ambrumenil, N., Samuelsson, P. & Büttiker, M. Optimal pumping of orbital entanglement with single-particle emitters. Phys. Rev. B 85, 081108 (2012)
Fève, G. et al. An on-demand coherent single-electron source. Science 316, 1169–1172 (2007)
Hermelin, S. et al. Electrons surfing on a sound wave as a platform for quantum optics with flying electrons. Nature 477, 435–438 (2011)
McNeil, R. P. G. et al. On-demand single-electron transfer between distant quantum dots. Nature 477, 439–442 (2011)
Levitov, L. S. & Lesovik, G. B. Charge distribution in quantum shot noise. . Pis’ma Z. Eksp. Teor. Fiz. 58, 225–230 (1993) JETP Lett. 58, 230–235 (1993)
Hassler, F., Lesovik, G. B. & Blatter, G. Effects of exchange symmetry on full counting statistics. Phys. Rev. Lett. 99, 076804 (2007)
Vanević, M., Nazarov, Y. V. & Belzig, W. Elementary events of electron transfer in a voltage-driven quantum point contact. Phys. Rev. Lett. 99, 076601 (2007)
Sherkunov, Y. B., Pratap, A., Muzykantskii, B. & d’Ambrumenil, N. Full counting statistics as the geometry of two planes. Phys. Rev. Lett. 100, 196601 (2008)
Jonckheere, T., Creux, M. & Martin, T. Time-controlled charge injection in a quantum Hall fluid. Phys. Rev. B 72, 205321 (2005)
Brantut, J. P. et al. Conduction of ultracold fermions through a mesoscopic channel. Science 337, 1069–1071 (2012)
Thywissen, J. H., Westervelt, R. M. & Prentiss, M. Quantum point contacts for neutral atoms. Phys. Rev. Lett. 83, 3762–3765 (1999)
Anderson, P. W. Infrared catastrophe in Fermi gases with local scattering potential. Phys. Rev. Lett. 18, 1049–1051 (1967)
Lee, H. W. & Levitov, L. Orthogonality catastrophe in a mesoscopic conductor due to a time-dependent flux. Preprint at http://arxiv.org/abs/cond-mat/9312013 (1993)
Dubois, J. et al. Integer and fractional charge Lorentzian voltage pulses analyzed in the framework of photon-assisted shot noise. Phys. Rev. B 88, 085301 (2013)
Acknowledgements
The ERC Advanced Grant 228273 MeQuaNo is acknowledged. We thank P. Jacques for technical help and P. Pari and P. Forget for support with cryogenics.
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D.C.G. designed the project. J.D. fabricated sample A on wafer provided by W.W., set up the radio-frequency and cryogenic systems with T.J., and, together with P. Roulleau, did the measurement and data analysis. The cryogenic amplifiers were made by P. Roulleau and T.J. F.P. helped in the early stages of the experiment and, together with P. Roulleau, T.J., P. Roche and D.C.G., wrote the paper. Sample B was provided by Y.J. on wafer from A.C.
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This file contains Supplementary Methods, Supplementary Discussion, Supplementary Data, Supplementary Figures 1-7 and Supplementary References. (PDF 966 kb)
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Dubois, J., Jullien, T., Portier, F. et al. Minimal-excitation states for electron quantum optics using levitons. Nature 502, 659–663 (2013). https://doi.org/10.1038/nature12713
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DOI: https://doi.org/10.1038/nature12713
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