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Interference of the whispering gallery states of antihydrogen

We theoretically study the interference of the long-living quasi-stationary quantum states of antihydrogen atoms, localized near a concave material surface. Such states are an antimatter analogue of the whispering gallery states of neutrons and matter atoms, and similar to the whispering gallery modes of sound and electro-magnetic waves. Quantum states of antihydrogen are formed by the combined effect of quantum reflection from the van der Waals/Casimir–Polder (vdW/CP) potential of the surface and the centrifugal potential. We point out a method for precision studies of quantum reflection of anti-atoms from vdW/CP potential; this method uses the interference of the whispering gallery states of antihydrogen.