Discrete-time crystals (DTCs) and power generators such as the TPU DTCs are very complex physical systems and there is still much to learn about their unusual properties. Just as a standard spatial crystal breaks space-translational symmetry because its structure is not the same everywhere in space, DTCs break a clear time-translational symmetry because, when periodically "shaken", their structure changes with each " push". You can think of it as a parent pushing a child on a swing in a playground. Normally, the parent pushes the child, the child swings back, and the parent pushes him again. In physics, this is a fairly simple system. But if there were several swings in the same playground, and if the children were holding hands, the system would become much more complex, and much more interesting and less obvious behaviors could emerge. A DTC is one of those behaviors, in which the atoms, acting as oscillations, only "return" every second, or third push, for example. The TPU and other similar generators seem to use this type of phenomenon, where the frequency of the push for each connected part is different but they are all connected. The sums of the reactions are not the same sum of the action within this overall timing domain, greater outputs than inputs can be seen. Using a computer simulation, researchers studied many interacting spins, such as children on swings, under the action of a periodic magnetic field, such as the parent pushing the swing, using classical Hamilton dynamics. The resulting dynamics clearly and neatly showed the properties of pre-thermal DTCs: for a long time, the magnetization of the system oscillates with a longer period than that of the drive. I will leave this open to discussion on this thread, I’m sure the likes of Itsu and Verpies among others will find the topic interesting in relation to other threads. Regards Mike
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