Exact projected entangled pair ground states with topological Euler invariant
2025

Entangled Pair Ground States with Topological Features

publication Evidence: high

Author Information

Author(s): Wahl Thorsten B., Jankowski Wojciech J., Bouhon Adrien, Chaudhary Gaurav, Slager Robert-Jan

Primary Institution: TCM Group, Cavendish Laboratory, Department of Physics, Cambridge, UK

Hypothesis

Can tensor network states represent Euler insulators and predict new interacting phases of matter?

Conclusion

The study demonstrates that tensor network states can exactly represent Euler insulators, leading to predictions of new interacting phases of matter.

Supporting Evidence

  • The study introduces a family of projected entangled pair states (PEPS) with non-trivial Euler topology.
  • These PEPS can evade restrictions on capturing topological features.
  • The results provide a platform for new spin liquids and quantum information applications.

Takeaway

This research shows that special quantum states can help us understand new types of materials that have unique properties, like being able to conduct electricity without losing energy.

Methodology

The study uses tensor network states to explore the properties of projected entangled pair states (PEPS) and their Hamiltonians.

Digital Object Identifier (DOI)

10.1038/s41467-024-55484-4

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