Skip to main content
Log in

Cold Rydberg Atoms for Quantum Simulation of Exotic Condensed Matter Interactions

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

Quantum simulators could provide an alternative to numerical simulations for understanding minimal models of condensed matter systems in a controlled way. Typically, cold atom systems are used to simulate e.g., Hubbard models. In this paper, we discuss a range of exotic interactions that can be formed when cold Rydberg atoms are loaded into optical lattices with unconventional geometries, such as long-range electron–phonon interactions and extended Coulomb-like interactions. We show how these can lead to proposals for quantum simulators for complex condensed matter systems such as superconductors. Continuous time quantum Monte Carlo is used to compare the proposed schemes with the physics found in traditional condensed matter Hamiltonians for systems such as high temperature superconductors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Schneider, U., Hackermuller, L., Will, S., Best, T., Bloch, I., Costi, T.A., Helmes, R.W., Rasch, D., Rosch, A.: Science 322, 1520 (2008)

    Article  ADS  Google Scholar 

  2. Jördens, R., Strohmaier, N., Gunter, K., Moritz, H., Esslinger, T.: Nature 455, 204 (2008)

    Article  ADS  Google Scholar 

  3. Schauss, P., Cheneau, M., Endres, M., Fukuhara, T., Hild, S., Omran, A., Pohl, T., Gross, C., Kuhr, S., Bloch, I.: Nature 491, 87 (2012)

    Article  ADS  Google Scholar 

  4. Porras, D., Cirac, J.I.: Phys. Rev. Lett. 92, 207901 (2004)

    Article  ADS  Google Scholar 

  5. Müller, M., Liang, L., Lesanovsky, I., Zoller, P.: New J. Phys. 10, 093009 (2008)

    Article  Google Scholar 

  6. Li, W., Lesanovsky, I.: Phys. Rev. Lett. 108, 023003 (2012)

    Article  ADS  Google Scholar 

  7. Hague, J., MacCormick, C.: New J. Phys. 14, 033019 (2012)

    Article  ADS  Google Scholar 

  8. Herrera, F., Krems, R.V.: Phys. Rev. A 84, 051401 (2011)

    Article  ADS  Google Scholar 

  9. Herrera, F., Madison, K., Krems, R.V., Berciu, M.: Phys. Rev. Lett. (2013) (in press). doi:10.1103/PhysRevLett.110.223002

    Google Scholar 

  10. Hague, J., MacCormick, C.: Phys. Rev. Lett. 109, 223001 (2012)

    Article  ADS  Google Scholar 

  11. Henderson, K., Ryu, C., MacCormick, C., Boshier, M.: New J. Phys. 11, 043030 (2009)

    Article  ADS  Google Scholar 

  12. Bloch, I., Dalibard, J., Zwerger, W.: Rev. Mod. Phys. 80, 885 (2008)

    Article  ADS  Google Scholar 

  13. Hague, J., Kornilovitch, P.: Phys. Rev. B 80, 054301 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. P. Hague.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hague, J.P., Downes, S., MacCormick, C. et al. Cold Rydberg Atoms for Quantum Simulation of Exotic Condensed Matter Interactions. J Supercond Nov Magn 27, 937–940 (2014). https://doi.org/10.1007/s10948-013-2414-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-013-2414-y

Keywords

Navigation