Abstract
A subtle procedure to confine quasiperiodic hydrodynamic modes within an isolated region on the free surface of a fluid is presented. The experiment consists of a square vessel with an immersed concentric square well vibrating vertically, so that the surface waves generated by the meniscus at the vessel boundary interfere with the bound wave states of the well. This is a classical analogy of a double quantum well where some fundamental interference phenomena can be visualized and controlled. The described interference leads to a hydrodynamic transition from quasiperiodic to periodic patterns for the first time. As it will be shown, the quantum analogues of the present experiment suggest that our results could be transferred to design quantum confinements exhibiting quasiperiodic electronic states or their rational approximants.
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