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Topology with rotational symmetry
Although our recent classification of topological crystals predicted the existence of new types of topological phases in materials with rotational symmetries, it did not provide a way of identifying these new phases, nor any of their physical properties. We now complete the picture by proposing a unified method for calculating topological invariants that can diagnose all known types of topology, including the newly predicted ones. It also indicates when these new phases will have excitations localised at either their edges or corners. | |  |
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 | | Born’s rule cannot emerge from linear dynamics
We give a theoretical proof that one of the fundamental open problems in physics -how Born’s rule relating quantum dynamics to observed classical probabilities- cannot be solved using linear or unitary theories. As a corollary, we also show that an often-used constructing which seemingly predicts the natural emergence of Born’s rule, in fact contains a logical flaw. |
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Topological Bulk-Boundary correspondence in a non-Hermitian metamaterial
We demonstrate that a metamaterial of robots holding hands can realise a type of non-Hermitian topological state that has been hard to realise in natural matter. The metamaterial moreover establishes a bulk-boundary correspondence for the new phase, in which a localised mode moves from one side to the other as the robots undergo a topological phase transition. | |  |
For the full story, look here. |
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