Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Quantum physics

A firmer grip on the Hubbard model

The Hubbard model describes the behaviour of interacting quantum particles, but many of its properties remain unknown. A system of ultracold atoms could provide the key to determining the model's underlying physics. See Letter p.462

This is a preview of subscription content, access via your institution

Access options

Rent or buy this article

Prices vary by article type

from$1.95

to$39.95

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Key properties of the Hubbard model.

Notes

  1. See all news & views

References

  1. Hubbard, J. Proc. R. Soc. Lond. A 276, 238–257 (1963).

    Article  ADS  Google Scholar 

  2. Mazurenko, A. et al. Nature 545, 462–466 (2017).

    Article  ADS  CAS  Google Scholar 

  3. Brush, S. G. Rev. Mod. Phys. 39, 883–893 (1967).

    Article  ADS  CAS  Google Scholar 

  4. Giamarchi, T. Quantum Physics in One Dimension (Oxford Univ. Press, 2004).

    MATH  Google Scholar 

  5. Georges, A., Kotliar, G., Krauth, W. & Rozenberg, M. J. Rev. Mod. Phys. 68, 13–125 (1996).

    Article  ADS  CAS  Google Scholar 

  6. Anderson, P. W. Science 235, 1196–1198 (1987).

    Article  ADS  CAS  Google Scholar 

  7. Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W. & Zoller, P. Phys. Rev. Lett. 81, 3108–3111 (1998).

    Article  ADS  CAS  Google Scholar 

  8. Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W. & Bloch, I. Nature 415, 39–44 (2002).

    Article  ADS  CAS  Google Scholar 

  9. Esslinger, T. Annu. Rev. Condens. Matter Phys. 1, 129–152 (2010).

    Article  ADS  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Thierry Giamarchi.

Related links

Related links

Related links in Nature Research

Condensed-matter physics: Marching to a different quantum beat

Condensed-matter physics: Quantum mechanics in a spin

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Giamarchi, T. A firmer grip on the Hubbard model. Nature 545, 414–415 (2017). https://doi.org/10.1038/545414a

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/545414a

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing