Anderson localization is typically associated with the quantum localization of a particle in the presence of time-independent disorder. However, there also exists a dynamical version of Anderson localization, in which classical diffusion of a particle in phase space in a classically chaotic system is suppressed by quantum interference, leading to localization in momentum space. Time-crystalline structures introduce a new type of Anderson localization: localization in the time domain in systems with temporal disorder. Here, we address whether localization can also occur in the domain conjugate to time, i.e., in the frequency domain, analogous to localization in momentum space in systems which are classically chaotic. We consider two cases: a simple system of a resonantly driven particle on a ring, and a more general system of a particle bouncing on an oscillating mirror. Our analysis shows that localization in the frequency domain can be observed in experimentally accessible platforms.

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• Anderson localization
• Dynamical localization
• Time crystals