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DEFINITION. “Time crystals are physical systems whose time translation symmetry is spontaneously broken.” https://lnkd.in/e5jENMEg View in LinkedIn

EXPANSION. “The second quantization formalism allows us to switch from a single particle to many indistinguishable particles by introducing the bosonic field operator ψˆ, which can be expanded in terms of operators that annihilate a boson in time-independent single-particle basis states.” https://lnkd.in/e5UXiem5 View in LinkedIn

AUTHORS: Distinguished Professor Peter Hannaford, Optical Sciences Centre, Swinburne University of Technology, Australia; and Professor Krzysztof Sacha, institute of Theoretical Physics, Jagiellonian University, Poland. https://lnkd.in/e5UXiem5 View in LinkedIn

PREDICTED PHENOMENA. “Temporal condensed matter phenomena that have been predicted to date include Mott insulator phases in the time dimension: Anderson localization and many-body localization in the time dimension; topologically protected edge states in time; quasi-crystal structures in time; two-dimensional time lattices supporting a Möbius strip geometry and flat-band physics; and time-space crystals exhibiting a six-dimensional quantum Hall effect.” https://lnkd.in/e5UXiem5 View in LinkedIn

FRAGMENT FROM NATURE is a Mind warp, touching the extraordinary world of condensed matter physics, higher dimensions, and broken symmetry in time. The ideas explored, including quite magical mathematics, are straight out of Alice in Wonderland. There are, it seems, few limits to creative thinking. https://lnkd.in/e5UXiem5 View in LinkedIn

DURABLE. “Such discrete time crystals are robust against external perturbations and quantum fluctuations and live for extremely long times.” https://lnkd.in/e5UXiem5 View in LinkedIn

NEW POSSIBILITIES. “This allows the creation of big discrete time crystals possessing a large number of temporal lattice sites, which are suitable for realizing a broad range of condensed matter phenomena in the time dimension.” https://lnkd.in/e5UXiem5 View in LinkedIn

LONG PERIODS. “Such a system has been shown to exhibit dramatic breaking of discrete time-translation symmetry in which the bouncing atoms can evolve with periods up to about 100 times longer than the period of the drive.” https://lnkd.in/e5UXiem5 View in LinkedIn

Barley in heavy dew into the sun. View in LinkedIn

SMART BEES. “Honeybees join humans as the only known animals that can tell the difference between odd and even numbers.” https://lnkd.in/e6GJdWKi View in LinkedIn