The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Quantum phases from competing short- and long-range interactions in an optical lattice
Open accessAbstract
Insights into complex phenomena in quantum matter can be gained from simulation experiments with ultracold atoms, especially in cases where theoretical characterization is challenging. However, these experiments are mostly limited to short-range collisional interactions; recently observed perturbative effects of long-range interactions were too weak to reach new quantum phases. Here we experimentally realize a bosonic lattice model with competing short- and long-range interactions, and observe the appearance of four distinct quantum phases—a superfluid, a supersolid, a Mott insulator and a charge density wave. Our system is based on an atomic quantum gas trapped in an optical lattice inside a high-finesse optical cavity. The strength of the short-range on-site interactions is controlled by means of the optical lattice depth. The long (infinite)-range interaction potential is mediated by a vacuum mode of the cavity and is independently controlled by tuning the cavity resonance. When probing the phase transition between the Mott insulator and the charge density wave in real time, we observed a behaviour characteristic of a first-order phase transition. Our measurements have accessed a regime for quantum simulation of many-body systems where the physics is determined by the intricate competition between two different types of interactions and the zero point motion of the particles.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Self-citationCold Bosonic Atoms in Optical Lattices
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3108 · Cited by 3,685
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339 · cited 1×
“many ways to elucidate fundamental behaviour of quantum matter [5].”
BackgroundA High Phase-Space-Density Gas of Polar Molecules
Ni, K.-K., Ospelkaus, S., de Miranda, M. H. G., Pe'er, A., Neyenhuis, B., Zirbel, J. J., Kotochigova, S., Julienne, P. S., Jin, D. S., & Ye, J. (2008) · Science · doi:10.1126/science.1163861 · Cited by 1,810
Dynamics of Bose-Einstein condensates in optical lattices
Morsch, O., & Oberthaler, M. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.179 · Cited by 1,652
Superconductivity in narrow-band systems with local nonretarded attractive interactions
Micnas, R., Ranninger, J., & Robaszkiewicz, S. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.113 · Cited by 1,625
Dicke quantum phase transition with a superfluid gas in an optical cavity
Baumann, K., Guerlin, C., Brennecke, F., & Esslinger, T. (2010) · Nature · doi:10.1038/nature09009 · Cited by 1,530
Self-citationTransition from a strongly interacting 1D superfluid to a Mott insulator
Stöferle, T., Moritz, H., Schori, C., Köhl, M., & Esslinger, T. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.130403 · Cited by 1,047
Self-citationExperiments and theory in cold and ultracold collisions
Weiner, J., Bagnato, V. S., Zilio, S., & Julienne, P. S. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.1 · Cited by 975
Cold atoms in cavity-generated dynamical optical potentials
Ritsch, H., Domokos, P., Brennecke, F., & Esslinger, T. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.553 · Cited by 933
Self-citation
Cited by
Perspectives of quantum annealing: methods and implementations
Hauke, P., Katzgraber, H. G., Lechner, W., Nishimori, H., & Oliver, W. D. (2020) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab85b8 · Cited by 507
Lienhard, V., de Léséleuc, S., Barredo, D., Lahaye, T., Browaeys, A., Schuler, M., Henry, L.-P., & Läuchli, A. M. (2018) · Physical Review X · doi:10.1103/physrevx.8.021070 · Cited by 209
Wave-Function Tomography of Topological Dimer Chains with Long-Range Couplings
Pellerin, F., Houvenaghel, R., Coish, W. A., Carusotto, I., & St-Jean, P. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.183802 · Cited by 33
Neural network operations and Susuki–Trotter evolution of neural network states
Freitas, N., Morigi, G., & Dunjko, V. (2018) · International Journal of Quantum Information · doi:10.1142/s0219749918400087 · Cited by 17
Metadata
- Authors
- Landig, R., Hruby, L., Dogra, N., Landini, M., Mottl, R., Donner, T., & Esslinger, T.
- Venue
- Nature
- Published
- 2016-04
- Volume
- 532
- Issue
- 7600
- Pages
- 476-479
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2230273712
- Cited by
- 445
- References
- 36
- FWCI
- 25.08
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Quantum phases from competing short- and long-range interactions in an optical lattice. https://app.cochat.ai/papers/10.1038/nature17409
- The paper
- Landig, R., Hruby, L., Dogra, N., Landini, M., Mottl, R., Donner, T., & Esslinger, T. (2016). Quantum phases from competing short- and long-range interactions in an optical lattice. Nature. https://doi.org/10.1038/nature17409
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
