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MULTIDIMENSIONAL. “The latter configuration supports a versatile Möbius strip geometry that can host a variety of time lattices such as a honeycomb time lattice and a Lieb square time lattice. By combining 3D time lattices with 3D space lattices, it is possible to create 6D time-space lattices.” https://lnkd.in/e5UXiem5 View in LinkedIn

PLATFORM. “Big discrete time crystals created by a Bose-Einstein condensate of ultracold atoms bouncing resonantly on an oscillating atom mirror provide a highly flexible platform for investigating a broad range of condensed matter phenomena in the time dimension.” https://lnkd.in/e5UXiem5 View in LinkedIn

ENERGY BANDS. “It is worth mentioning that we consider here deep optical lattice potentials which can host many energy bands, and highly excited bands (with energies close to the barrier between the potential wells) are resonantly coupled by the shaking.” https://lnkd.in/e5UXiem5 View in LinkedIn

EXPANDING DIMENSIONS. “We live in a 3D space and spatial crystals of dimension up to three can be observed and investigated. We have seen that time appears as a degree of freedom where a crystalline behavior can be created too. Combining space and time lattices, we should be able to create crystals of dimension higher than three. Surprisingly, such time-space crystals can be even six-dimensional as we will show in the following.” https://lnkd.in/e5UXiem5 View in LinkedIn

The Fibonacci numbers for n=1, 2, ... are 1, 1, 2, 3, 5, 8, 13, 21. https://lnkd.in/gTPGqVp5 View in LinkedIn

F ELECTRON SHELLS. “Recently, f electron materials containing actinide elements have drawn considerable interest, stimulated by observations of intriguingly ordered ground states emerging at low temperatures.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

SYMMETRY BREAKING. “In condensed matter physics, multipole moments are often introduced as mathematical tool to characterize the point group symmetry breaking.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

SPHERICAL HARMONICS. “In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere.” https://lnkd.in/eE9e_A5Z View in LinkedIn

Girona flower festival. View in LinkedIn

ELECTRON ORBITAL SHAPES. “In condensed matter physics, the angular distribution of a spin-polarized electron cloud around a nucleus can be characterized by spherical harmonics.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn