Abstract
Tunnelling of material particles through a classically impenetrable barrier constitutes one of the hallmark effects of quantum physics. When interactions between the particles compete with their mobility through a tunnel junction, intriguing dynamical behaviour can arise because the particles do not tunnel independently. In single-electron or Bloch transistors, for example, the tunnelling of an electron or Cooper pair can be enabled or suppressed by the presence of a second charge carrier due to Coulomb blockade1,2. Here we report direct, time-resolved observations of the correlated tunnelling of two interacting ultracold atoms through a barrier in a double-well potential. For the regime in which the interactions between the atoms are weak and tunnel coupling dominates, individual atoms can tunnel independently, similar to the case of a normal Josephson junction. However, when strong repulsive interactions are present, two atoms located on one side of the barrier cannot separate3, but are observed to tunnel together as a pair in a second-order co-tunnelling process. By recording both the atom position and phase coherence over time, we fully characterize the tunnelling process for a single atom as well as the correlated dynamics of a pair of atoms for weak and strong interactions. In addition, we identify a conditional tunnelling regime in which a single atom can only tunnel in the presence of a second particle, acting as a single atom switch. Such second-order tunnelling events, which are the dominating dynamical effect in the strongly interacting regime, have not been previously observed with ultracold atoms. Similar second-order processes form the basis of superexchange interactions between atoms on neighbouring lattice sites of a periodic potential, a central component of proposals for realizing quantum magnetism4,5,6,7.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
Nature Communications Open Access 23 July 2021
-
Synthesized magnetic field of a sawtooth superradiance lattice in Bose–Einstein condensates
npj Quantum Information Open Access 06 February 2020
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Rent or buy this article
Get just this article for as long as you need it
$39.95
Prices may be subject to local taxes which are calculated during checkout




References
Averin, D. V. & Likharev, K. K. Coulomb blockade of single-electron tunneling, and coherent oscillations in small tunnel junctions. J. Low-Temp. Phys. 62, 345–373 (1986)
Kouwenhoven, L. P. et al. in Mesoscopic Electron Transport (eds Sohn, L. L., Kouwenhoven, L. P. & Schön, G.) 105–214 (Kluwer, Dordrecht, 1997)
Winkler, K. et al. Repulsively bound atom pairs in an optical lattice. Nature 441, 853–856 (2006)
Auerbach, A. Interacting Electrons and Quantum Magnetism (Springer, Berlin, 1998)
Duan, L.-M., Demler, E. & Lukin, M. Controlling spin exchange interactions of ultracold atoms in an optical lattice. Phys. Rev. Lett. 91, 090402 (2003)
Kuklov, A. & Svistunov, B. Counterflow superfluidity of two-species ultracold atoms in a commensurate optical lattice. Phys. Rev. Lett. 90, 100401 (2003)
Altman, E., Hofstetter, W., Demler, E. & Lukin, M. Phase diagram of two-component bosons on an optical lattice. New J. Phys. 5, 113.1–113.19 (2003)
Josephson, B. D. Possible new effects in superconductive tunnelling. Phys. Lett. 1, 251–253 (1962)
Likharev, K. K. Superconducting weak links. Rev. Mod. Phys. 51, 101–159 (1979)
Albiez, M. et al. Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction. Phys. Rev. Lett. 95, 010402 (2005)
Averin, D. V. Quantum computing and quantum measurement with mesoscopic Josephson junctions. Fortschr. Phys. 48, 1055–1074 (2000)
Makhlin, Y., Schön, G. & Shnirman, A. Quantum-state engineering with Josephson-junction devices. Rev. Mod. Phys. 73, 357–400 (2001)
De Franceschi, S. et al. Electron cotunneling in a semiconductor quantum dot. Phys. Rev. Lett. 86, 878–881 (2001)
Zumbühl, D. M., Marcus, C. M., Hanson, M. P. & Gossard, A. C. Cotunneling spectroscopy in few-electron quantum dots. Phys. Rev. Lett. 93, 256801–256804 (2004)
Fisher, M. P. A., Weichman, P. B., Grinstein, G. & Fisher, D. S. Boson localization and the superfluid-insulator transition. Phys. Rev. B 40, 546–570 (1989)
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W. & Zoller, P. Cold bosonic atoms in optical lattices. Phys. Rev. Lett. 81, 3108–3111 (1998)
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W. & Bloch, I. Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 415, 39–44 (2002)
Spielman, I. B., Phillips, W. D. & Porto, J. V. Mott-insulator transition in a two-dimensional atomic Bose gas. Phys. Rev. Lett. 98, 080404 (2007)
Stöferle, T., Moritz, H., Schori, C., Köhl, M. & Esslinger, T. Transition from a strongly interacting 1D superfluid to a Mott insulator. Phys. Rev. Lett. 92, 130403 (2004)
Anderlini, M., Sebby-Strabley, J., Kruse, J., Porto, J. V. & Phillips, W. D. Controlled atom dynamics in a double-well optical lattice. J. Phys. B 39, S199–S210 (2006)
Sebby-Strabley, J. et al. Preparing and probing atomic number states with an atom interferometer. Phys. Rev. Lett. 98, 200405 (2007)
Widera, A. et al. Coherent collisional spin dynamics in optical lattices. Phys. Rev. Lett. 95, 190405 (2005)
Roos, C. F. et al. Bell states of atoms with ultralong lifetimes and their tomographic state analysis. Phys. Rev. Lett. 92, 220402 (2004)
Briegel, H. J. & Raussendorf, R. Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86, 910–913 (2001)
Anderson, P. W. The resonating valence bond state in La2CuO4 and superconductivity. Science 235, 1196–1198 (1987)
Trebst, S., Schollwöck, U., Troyer, M. & Zoller, P. d-Wave resonating valence bond states of fermionic atoms in optical lattices. Phys. Rev. Lett. 96, 250402–250404 (2006)
Myatt, C. J., Burt, E. A., Ghrist, R. W., Cornell, E. A. & Wiemann, C. E. Production of two overlapping Bose-Einstein condensates by sympathetic cooling. Phys. Rev. Lett. 78, 586–589 (1997)
Schmaljohann, H. et al. Dynamics of F = 2 spinor Bose-Einstein condensates. Phys. Rev. Lett. 92, 040402 (2004)
Fölling, S., Widera, A., Müller, T., Gerbier, F. & Bloch, I. Formation of spatial shell structures in the superfluid to Mott insulator transition. Phys. Rev. Lett. 97, 060403 (2006)
Greiner, M., Bloch, I., Mandel, O., Hänsch, T. W. & Esslinger, T. Exploring phase coherence in a 2D lattice of Bose-Einstein condensates. Phys. Rev. Lett. 87, 160405 (2001)
Acknowledgements
We thank A. M. Rey and B. Paredes for discussions. We acknowledge funding through the DFG and the European Union (MC-EXT QUASICOMBS). R.S. acknowledges support by the EU QUDEDIS programme as well as SJCKMS and the Kempe I and II foundations.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
Reprints and permissions information is available at www.nature.com/reprints. The authors declare no competing financial interests.
Rights and permissions
About this article
Cite this article
Fölling, S., Trotzky, S., Cheinet, P. et al. Direct observation of second-order atom tunnelling. Nature 448, 1029–1032 (2007). https://doi.org/10.1038/nature06112
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/nature06112
This article is cited by
-
Quantum simulations with ultracold atoms in optical lattices: past, present and future
Journal of the Korean Physical Society (2023)
-
Global Quantum Discord and Entanglement in two Coupled Double Quantum Dots AlGaAs/GaAs
International Journal of Theoretical Physics (2023)
-
A Unified Explanation of Some Quantum Phenomena
International Journal of Theoretical Physics (2023)
-
Realizing discontinuous quantum phase transitions in a strongly correlated driven optical lattice
Nature Physics (2022)
-
Quantum gas microscopy for single atom and spin detection
Nature Physics (2021)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.