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arXiv · 2006.08786

Time Glass: A Fractional Calculus Approach

Robin C. Verstraten·Rodrigo F. Ozela·Cristiane Morais Smith
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Abstract

Out of equilibrium states in glasses and crystals have been a major topic of research in condensed-matter physics for many years, and the idea of time crystals has triggered a flurry of new research. Here, we provide the first description for the recently conjectured Time Glasses using fractional calculus methods. An exactly solvable effective theory is introduced, with a continuous parameter describing the transition from liquid through normal glass, Time Glass, into the Gardner phase. The phenomenological description with a fractional Langevin equation is connected to a microscopic model of a particle in a sub-Ohmic bath in the framework of a generalized Caldeira-Leggett model.

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Robin C. Verstraten, Rodrigo F. Ozela, Cristiane Morais Smith. 2020-06-15. Time Glass: A Fractional Calculus Approach. https://doi.org/10.1103/physrevb.103.l180301

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