Condensed Matter

    

Fractional Dynamics and Hamiltonian Time Crystals

Authors: Ervin Goldfain

Hamiltonian time crystals (HTC) are time-dependent solutions of the equation of motion that develop in a minimum energy configuration. A subset of HTC’s includes periodic solutions with minimal energy that spontaneously break time-translation invariance. Recent studies suggest that HTC’s may be realized as novel topological structures formed by knotted molecules. In this brief note we show that fractional dynamics of harmonic oscillators may replicate the properties of HTC’s outside the realm of traditional condensed matter applications.

Comments: 4 Pages.

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Submission history

[v1] 2020-11-02 14:17:07
[v2] 2020-11-03 03:59:25

Unique-IP document downloads: 327 times

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