Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions.
Time crystals are many-body systems that, due to interactions between particles, are able to spontaneously self-organize their motion in a periodic way in time by analogy with the formation of crystalline structures in space in condensed matter physics. In solid state physics properties of space crystals are often investigated with the help of external potentials that are spatially periodic and reflect various crystalline structures. Similar approach can be applied for time crystals because periodically driven systems constitute counterparts of spatially periodic systems but in the time domain. We show that condensed matter problems raging from a single particle in potentials of quasi-crystal structure, to many-body systems with exotic long-range interactions can be realized in the time domain with an appropriate periodic driving. While time is a single degree of freedom and it is hard to imagine multi-dimensional time crystals, time crystals with properties of two- or three-dimensional space crystals can be created. We also show that time-dependent modulation of the atomic scattering length allows one to create a molecule where two atoms are binded together due to destructive interference, that is, due to Anderson localization induced by disordered mutual interactions.
Publisher URL: http://arxiv.org/abs/1710.10087
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