Realizing the symmetry-protected Haldane phase in Fermi–Hubbard ladders

Pimonpan Sompet (), Sarah Hirthe, Dominik Bourgund, Thomas Chalopin, Julian Bibo, Joannis Koepsell, Petar Bojović, Ruben Verresen, Frank Pollmann, Guillaume Salomon, Christian Gross, Timon A. Hilker and Immanuel Bloch ()
Additional contact information
Pimonpan Sompet: Max-Planck-Institut für Quantenoptik
Sarah Hirthe: Max-Planck-Institut für Quantenoptik
Dominik Bourgund: Max-Planck-Institut für Quantenoptik
Thomas Chalopin: Max-Planck-Institut für Quantenoptik
Julian Bibo: Munich Center for Quantum Science and Technology
Joannis Koepsell: Max-Planck-Institut für Quantenoptik
Petar Bojović: Max-Planck-Institut für Quantenoptik
Ruben Verresen: Harvard University
Frank Pollmann: Munich Center for Quantum Science and Technology
Guillaume Salomon: Max-Planck-Institut für Quantenoptik
Christian Gross: Max-Planck-Institut für Quantenoptik
Timon A. Hilker: Max-Planck-Institut für Quantenoptik
Immanuel Bloch: Max-Planck-Institut für Quantenoptik

Nature, 2022, vol. 606, issue 7914, 484-488

Abstract: Abstract Topology in quantum many-body systems has profoundly changed our understanding of quantum phases of matter. The model that has played an instrumental role in elucidating these effects is the antiferromagnetic spin-1 Haldane chain1,2. Its ground state is a disordered state, with symmetry-protected fourfold-degenerate edge states due to fractional spin excitations. In the bulk, it is characterized by vanishing two-point spin correlations, gapped excitations and a characteristic non-local order parameter3,4. More recently it has been understood that the Haldane chain forms a specific example of a more general classification scheme of symmetry-protected topological phases of matter, which is based on ideas connected to quantum information and entanglement5–7. Here, we realize a finite-temperature version of such a topological Haldane phase with Fermi–Hubbard ladders in an ultracold-atom quantum simulator. We directly reveal both edge and bulk properties of the system through the use of single-site and particle-resolved measurements, as well as non-local correlation functions. Continuously changing the Hubbard interaction strength of the system enables us to investigate the robustness of the phase to charge (density) fluctuations far from the regime of the Heisenberg model, using a novel correlator.

Date: 2022
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.nature.com/articles/s41586-022-04688-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:nat:nature:v:606:y:2022:i:7914:d:10.1038_s41586-022-04688-z

Ordering information: This journal article can be ordered from
https://www.nature.com/

DOI: 10.1038/s41586-022-04688-z

Access Statistics for this article

Nature is currently edited by Magdalena Skipper

More articles in Nature from Nature
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().