Time to time, i like to think outside the work and enjoy totally random stuff so I decided to learn more on Space-Time Crystal and collected the following:
What is a crystal?
What is time crystal? (also called as space-time crystal or four dimensional crystal)
Classical time crystals:
We consider the possibility that classical dynamical systems display motion in their lowest energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary orbits of an angular variable as lowest-energy trajectories for nonsingular Lagrangian systems. Dynamics within orbits of broken symmetry provide a natural arena for formation of time crystals. We exhibit models of that kind, including a model with traveling density waves.
Read Full Paper here
Quantum time crystals:
Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The possibility of ordering in imaginary time is also discussed.
Read Full Paper here.
A few notable articles:
- Scientists produce a crystal that could help unlock the mystery of high-temperature superconductors (03/2011)
- Time crystals could behave almost like perpetual motion machines (02/2012)
- Physics team proposes a way to create an actual space-time crystal (07/2012)
- Physicist proves impossibility of quantum time crystals (8/2013)