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FLAT INFINITY LOOP. “Möbius strip geometry. Atoms loaded to lattices fulfill the boundary conditions of the Möbius strip geometry.” https://lnkd.in/e5UXiem5 View in LinkedIn

FIBONACCI SERIES. “Then, when the discrete time translation symmetry (defined by the oscillation period of the mirrors) is spontaneously broken, the sequence of atoms reflected from one mirror and the other mirror forms a Fibonacci quasi-crystal in time.” https://lnkd.in/e5UXiem5 View in LinkedIn

GOLDEN NUMBER. “Use of a 2D time lattice allows a range of 2D condensed matter phenomena to be investigated with two oscillating mirrors. For example, it is possible to realize spontaneous formation of time quasi-crystals when the ratio of the resonance numbers along the x and y directions, s /s , approximates the golden number ≈ 1.618.” https://lnkd.in/e5UXiem5 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

THE PLAN. “Although time is a single degree of freedom, crystalline structures in time with the properties of 2D (or 3D) condensed matter systems can be created by a BEC bouncing resonantly between two (or three) oscillating atom mirrors.” (BEC = Bose-Einstein condensate). https://lnkd.in/e5UXiem5 View in LinkedIn

OFF-DIAGONAL RESPONSES. “As the multipole classification scheme can be generalized to systems characterized by a specific point group symmetry, multipole theory is becoming used for the classification of off-diagonal response phenomena, such as the electric-magnetic effect and the anomalous Hall effect in antiferromagnets.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

OPEN AVENUE. “If a resonantly driven many-body system experiences temporal disorder, the many-body localization phenomenon in a time crystalline structure can be investigated.” https://lnkd.in/e5UXiem5 View in LinkedIn

A little bundle of joy. View in LinkedIn

PUSHING THE ENVELOPE. “We have seen that a resonantly driven single particle can behave in the time domain like an electron moving in a space crystal. One may raise the question if many-body condensed matter phenomena can be observed in the time dimension too?” https://lnkd.in/e5UXiem5 View in LinkedIn

TEASER. “What do the pyramids of Giza and Da Vinci’s Mona Lisa have in common with Twitter and Pepsi?” https://lnkd.in/ejjhttcs View in LinkedIn