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arXiv · 1807.02105

Discrete Time Quasi-Crystals

Krzysztof Giergiel·Arkadiusz Kuroś·Krzysztof Sacha
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Abstract

Between space crystals and amorphous materials there exists a third class of aperiodic structures which lack translational symmetry but reveal long-range order. They are dubbed quasi-crystals and their formation, similarly as the formation of space crystals, is related to spontaneous breaking of translational symmetry of underlying Hamiltonians. Here, we investigate spontaneous emergence of quasi-crystals in periodically driven systems. We consider a quantum many-body system which is driven by a harmonically oscillating force and show that interactions between particles result in spontaneous self-reorganization of the motion of a quantum many-body system and in the formation of a quasi-crystal structure in time.

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Krzysztof Giergiel, Arkadiusz Kuroś, Krzysztof Sacha. 2019-05-30. Discrete Time Quasi-Crystals. https://doi.org/10.1103/physrevb.99.220303

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