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Topological phase transitions and mixed-state order in a Hubbard quantum simulator

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Nature Physics, Published online: 27 July 2026; doi:10.1038/s41567-026-03381-6

Topological phases can be hard to distinguish with local measurements. Now, a transition between two such phases has been revealed in ultracold erbium atoms, and shown to disappear when two systems are stacked or information about disorder is lost.