Volume 131, Number 2, July 2020
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||24 August 2020|
Probing Floquet modes in a time periodic system with time defects using Faraday instability
1 Institut Langevin, ESPCI Paris, CNRS, PSL University - 1 rue Jussieu, F-75005 Paris, France
2 PMMH, CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris - F-75005, Paris, France
Received: 15 April 2020
Accepted: 20 July 2020
Time crystals are systems whose properties are periodically modulated in time. Among these, Floquet time crystals exhibit momentum gaps in their band structures, analogous to energy gaps in spatial crystals. Recently, time defects with a -shift in the time modulation have been introduced theoretically as temporal analogues of spatial topological defects associated with localized edge modes. Here we perform experiments in a time periodic system using Faraday instability, a parametric excitation of a liquid bath by vertical shaking. Although time defects also trigger an exponentially decaying wave, we show that the analogy does not hold due to temporal causality and lack of energy conservation. However, these time defects provide an original way to explore momentum gaps and reveal their overdamped modes.
PACS: 47.35.-i – Hydrodynamic waves / 47.20.-k – Flow instabilities / 03.65.Vf – Phases: geometric; dynamic or topological
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