READ ME File For 'Dataset for Continuous Space-Time Crystal State Driven by Nonreciprocal Optical Forces


Dataset DOI: https://doi.org/10.5258/SOTON/D3200
ReadMe Author: Kevin MacDonald, University of Southampton

This dataset supports the publication: Continuous Space-Time Crystal State Driven by Nonreciprocal Optical Forces
AUTHORS: Venugopal Raskatla, Tongjun Liu, Jinxiang Li, Kevin F. MacDonald, and Nikolay I. Zheludev
TITLE: Continuous Space-Time Crystal State Driven by Nonreciprocal Optical Forces
JOURNAL: Physical Review Letters
PAPER DOI IF KNOWN: 10.1103/PhysRevLett.133.136202

Contents
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This research data description should be read and understood in the context of the corresponding manuscript. The figure numbers correspond to the figure numbers of the manuscript and the data corresponds to the data as shown in the figures.
The figure descriptions as given in the corresponding manuscript are given below.  
All necessary information to reproduce the results presented in the article is contained within the article and the Supplementary Material. This file contains a representative set of oscillator positional time-series data, from which spectral density and order parameters (Figs. 3 and 4) are derived.

Fig. 3. Dynamics of identical coupled noisy, linear oscillators. 
(a, b) Spectral density of position for a pair of identical noise-driven oscillators [1 and 2] with natural frequency ω0/2π = 2 MHz, effective mass 1 pg and quality factor Q = 1000, at T = 300K in the case of: 
(a) no coupling between oscillators: ξ_12=ξ_21=0; 
(b) reciprocal coupling:ξ_12=ξ_21=ξ=0.05ω_0^2; 
(c) Spectral density of position for one of two identical nonreciprocally coupled oscillators, for a selection of coupling strengths ξ^* [as labelled]. 
The inset shows resonance width as a function of ξ^*. 
(d, e) Order parameter as a function of time for: (d) the reciprocally coupled system at ξ=0.05ω_0^2 [as in panel (b)]; (e) nonreciprocal coupling at ξ^*=0.05ω_0^2 [the yellow trace in panel (c)].


Fig. 4. Dynamics of nonreciprocally coupled noisy, nonidentical oscillators. 
(a) Spectral density of relative position for a pair of nonreciprocally coupled oscillators at various coupling strengths. The vertical dashed lines indicate the individual fundamental and mean oscillation frequencies. 
(b) Order parameter as a function of time, where coupling strength increases from zero at time = 0, in increments of 0.00001ω_0i^2 at 1 ms intervals (denoted by the dashed lines). 
(c) Peak amplitude of spectral density as a function of increasing (blue) and decreasing (orange) coupling strength. The vertical dashed line indicates the coupling threshold, ξ_th^* for onset of synchronization.


Geographic location of data collection: University of Southampton, U.K.

Related projects:
Next Generation Metrology Driven by Nanophotonics
EPSRC
EP/T02643X/1

Dataset available under a CC BY 4.0 licence