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by jdrov 2965 days ago
I'm not confident that what we're observing are "lossless vibrations," but it is the case that there is something that is "lossless" about what we call "unitary evolution." The signal we start with decays to zero after a while, but we are able to show that this signal can be (in large part) restored, demonstrating that much of what initially looked like irretrievable loss is actually what we think of as "evolution towards a complicated but coherent state."
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I'm more confused, now. Some of the articles you linked to talk about time crystals as a type of perpetual motion machine, albeit one that is "exactly unity" instead of "over unity" as the crackpots would say.

If you have to hit the system with an impulse every once in a while to keep it toggling, how is it different than any other kind of resonant oscillating system? Is it that the cycle goes through states like:

* disorganized

* organized, directional

* disorganized

* organized, opposite direction

I still feel like the part of this system that is special and interesting is getting lost in the translation to lay language :(

This is a good question. The "directions" you mention would, in our system, typically be considered to depend on the nature of the drive. For instance, if you repeatedly rotate the magnetization by 180 degrees, you can imagine the magnetization going up-down-up-down-... repeatedly, whereas if you instead used rotations of 181 degrees, it would take a long time for the state to come back around to pointing along its exact original orientation.

The proposed signature of a "discrete time crystal" was to observe the magnetization point up-down-up-down-... even when you used e.g. 181 degree rotations, if you allow dipole-dipole interactions to act for long enough between rotations. This is what we observe: "wrapped" magnetization when we use imperfect rotations with short nuclear spin interaction times, then locked up-down-up-down-... magnetization when we use imperfect rotations with longer nuclear spin interaction times.

A last subtelty when comparing to traditional oscillating systems is that the response is not at the same frequency as the drive, but will have a period determined by both the drive period T and the symmetry of the dipole interactions. Our system's interactions have 2 symmetric states, so the response period is at 2T. Other systems have other symmetries; for instance, the research team at Harvard showed oscillations at 3T using a spin system with different interaction symmetries.

(HN doesn't do private messages, or this would be sent privately)

Thanks for coming out here and fielding our totally ignorant questions. Its an amazing and beautiful world out there, thank you for sharing your discoveries about it.

Thanks for the kind words. I've focused a good deal in the past few years on teaching/communication (see my profile for a link to some of my basic-physics lectures for student taking the MCAT), and I'm very grateful for the opportunity to discuss our work with this community. Thanks for your interest and great questions!
Actually, HN does do /almost/ private messages, if you hellban your account, and the recipient of your reply comment has “show dead” turned on.

(of course, anybody can activate the “show dead” option, but, in reality, there’s no such thing as privacy on a web server, since there’s always a system administrator noticing unhashed passwords scroll through the log stream)

That's a great insight. That's probably why it's 2X slower in changing spin direction.
This may be a stupid question, but, is there any possibility to store data with this?

Also, what is the size of the crystal that you're looking at in these experiments (sorry if I missed that)