A hundred years after the discovery of superconductivity, one fundamental prediction of the theory, coherent quantum phase slip (CQPS), has not been observed. CQPS is a phenomenon exactly dual1 to the Josephson effect; whereas the latter is a coherent transfer of charges between superconducting leads2,3, the former is a coherent transfer of vortices or fluxes across a superconducting wire. In contrast to previously reported observations4,5,6,7,8 of incoherent phase slip, CQPS has been only a subject of theoretical study9,10,11,12. Its experimental demonstration is made difficult by quasiparticle dissipation due to gapless excitations in nanowires or in vortex cores. This difficulty might be overcome by using certain strongly disordered superconductors near the superconductor–insulator transition. Here we report direct observation of CQPS in a narrow segment of a superconducting loop made of strongly disordered indium oxide; the effect is made manifest through the superposition of quantum states with different numbers of flux quanta13. As with the Josephson effect, our observation should lead to new applications in superconducting electronics and quantum metrology1,10,11.
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Mooij, J. E. & Nazarov Superconducting nanowires as quantum phase-slip junctions. Nature Phys. 2, 169–172 (2006)
Tinkham, M. Introduction to Superconductivity (McGraw-Hill, 1996)
Averin, D. V., Zorin, A. B. & Likharev, K. K. Bloch oscillations in small Josephson junction. Zh. Eksp. Teor. Fiz. 88, 407–412 (1984)
Giordano, N. Evidence for macroscopic quantum tunnelling in one-dimensional superconductors. Phys. Rev. Lett. 61, 2137–2140 (1988)
Bezryadin, A., Lau, C. N. & Tinkham, M. Quantum suppression of superconductivity in ultrathin nanowires. Nature 404, 971–974 (2000)
Zgirski, M., Riikonen, K.-P., Touboltsev, V. & Arutyunov Yu, K. Quantum fluctuations in ultranarrow superconducting aluminum nanowires. Phys. Rev. B 77, 054508 (2008)
Lehtinen, J. S., Sajavaara, T., Arutyunov, K., Yu & Vasiliev, A. Evidence of quantum phase slip effect in titanium nanowires. Preprint at 〈http://arxiv.org/abs/1106.3852〉 (2011)
Hongisto, T. T. & Zorin, A. B. Single charge transistor based on superconducting nanowire in high impedance environment. Phys. Rev. Lett. 108, 097001 (2012)
Matveev, K. A., Larkin, A. I. & Glazman, L. I. Persistent current in superconducting nanorings. Phys. Rev. Lett. 89, 096802 (2002)
Hriscu, A. M. & Nazarov Model of a proposed superconducting phase slip oscillator: A method for obtaining few-photon nonlinearities. Phys. Rev. Lett. 106, 077004 (2011)
Hriscu, A. M. & Nazarov Coulomb blockade due to quantum phase-slips illustrated with devices. Phys. Rev. B 83, 174511 (2011)
Vanevic, M. & Nazarov Quantum phase slips in superconducting wires with weak links. Preprint at 〈http://arxiv.org/abs/1108.3553〉 (2011)
Mooij, J. E. & Harmans, C. J. P. M. Phase-slip flux qubits. N. J. Phys. 7, 219 (2005)
Little, W. A. Decay of persistent current in small superconductors. Phys. Rev. 156, 396–403 (1967)
Arutyunov, K., Golubev, D. S. & Zaikin, A. D. Superconductivity in one dimension. Phys. Rep. 464, 1–70 (2008)
Manucharyan, V. E. et al. Phys. Rev. B 85, 024521 (2012)
Pop, I. M. et al. Experimental demonstration of Aharonov-Casher interference in a Josephson junction circuit. Preprint at 〈http://arxiv.org/abs/1104.3999〉 (2011)
Arutyunov, K., Hongisto, T. T., Lehtinen, J. S., Leino, L. I. & Vasiliev, A. L. Quantum phase-slip phenomenon in ultra-narrow superconducting nanorings. Sci. Rep. 2, 293 (2012)
Astafiev, O. et al. Resonance fluorescence of a single artificial atom. Science 327, 840–843 (2010)
Zaikin, A. D., Golubev, D. S., van Otterlo, A. & Zimanyi, G. T. Quantum phase slips and transport in ultrathin superconducting wires. Phys. Rev. Lett. 78, 1552–1555 (1997)
Golubev, D. S. & Zaikin, A. D. Quantum tunneling of the order parameter in superconducting nanowires. Phys. Rev. B 014504 (2001)
Finkel’stein, A. M. Suppression of superconductivity in homogeneously disordered systems. Physica B 197, 636–648 (1994)
Feigel'man, M. V., Ioffe, L. B., Kravtsov, V. E. & Cuevas, E. Fractal superconductivity near localization threshold. Ann. Phys. 325, 1390–1478 (2010)
Feigel'man, M. V., Ioffe, L. B., Kravtsov, V. E. & Yuzbashyan, E. A. Eigenfunction fractality and pseudogap state near the superconductor-insulator transition. Phys. Rev. Lett. 98, 027001 (2007)
Feigel'man, M. V., Ioffe, L. B. & Mezard, M. Superconductor-insulator transition and energy localization. Phys. Rev. B 82, 184534 (2010)
Sacépé, B. et al. Localization of preformed Cooper pairs in disordered superconductors. Nature Phys. 7, 239–244 (2011)
Sacépé, B. et al. Pseudogap in a thin film of a conventional superconductor. Nature Commun. 1, 140 (2010)
Johansson, A., Sambandamurthy, G., Shahar, D., Jacobson, N. & Tenne, R. Nanowire acting as superconducting quantum device. Phys. Rev. Lett. 95, 116805 (2005)
Wallraff, A. et al. Approaching unit visibility for control of a superconducting qubit with dispersive readout. Phys. Rev. Lett. 95, 060501 (2005)
Abdumalikov, A. A., Astafiev, O. V., Nakamura, Y., Pashkin & Tsai, J. S. Vacuum Rabi splitting due to strong coupling of a flux qubit and a coplanar-waveguide resonator. Phys. Rev. B 78, 180502 (2008)
We are grateful to M. Feigel’man, J. Mooij and Y. Nazarov for discussions. This work was supported by Funding Program for World-Leading Innovative R&D on Science and Technology (FIRST), MEXT KAKENHI “Quantum Cybernetics”, Ministry of Science and Education of Russian Federation grant 2010-1.5-508-005-037. L.B.I. was supported by ARO W911NF-09-1-0395, DARPA HR0011-09-1- 0009 and NIRT ECS-0608842. D.S. and O.C. were supported by Minerva Fund.
The authors declare no competing financial interests.
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Astafiev, O., Ioffe, L., Kafanov, S. et al. Coherent quantum phase slip. Nature 484, 355–358 (2012). https://doi.org/10.1038/nature10930
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