Emulating isomerization with two-dimensional Coulomb crystals

image_1p07.tif, image_1p18.tif, image_1p20.tif, image_1p21.tif, and image_1p24.tif are the tif images of 6 Barium 138 ions trapped in two-dimensional confinement with trap aspect ratio 1.07, 1.18, 1.20, 1.21 and 1.24 respectively. The images are taken with the exposure time of 1 s. pes_fig1a_1p07.csv, pes_fig1a_1p18, pes_fig1a_1p20, pes_fig1a_1p21, and pes_fig1a_1p24 contains the data on the potential energy surface (PES) corresponding to the five tif images in the same order. PES are obtained with Monte Carlo simulations. The values in the first row is the distance of one ion in a Coulomb crystal from trap center. Second column shows the energy on the potential energy surface normalized with the Boltzmann constant and in the unit of mK. fig1b_Vhex.csv and fig1b_Vpen.csv shows the energies of the Coulomb crystal of 6 ions configured in two different ways obtained with Monte Carlo simulations. The first row (alpha) corresponds to the trap aspect ratio and the second row corresponds to the energy of the system with respect to the lowest energy configuration. pes_fig1c.csv contains the data on the PES of 6 ions in a two-dimensional harmonic potential with trap frequencies 100 kHz and 120 kHz. tdc_data_zip.zip contains all the experimental raw data. Each data set corresponds to the value of alpha reported in the table data_experiment_2. In each raw data csv file, the time arrival of each photon is reported (units: seconds). Each run is 5 seconds long. The first 1.25 seconds are only for cooling and checking the number of ions. Starting from 1.25 seconds, 74 identical sequences are performed. Each sequence is formed by: 20ms at alpha=1.12 --> ramp from alpha=1.12 to alpha1 --> 20ms at alpha=alpha1 --> ramp back to alpha=1.12. The time of the ramp is variable, as the slope is kept constant. The specific duration of each sequence is in the table data_experiment_2 Fig3_probabilities.csv contains the experimental data of Figure 3 Fig4_inset.csv contains the experimental data of the inset of Figure 4 fig4.csv contains the experimental data of Figure 4image_1p07.tif、image_1p18.tif、image_1p20.tif、image_1p21.tif及image_1p24.tif为5组TIFF图像，分别对应陷阱纵横比（trap aspect ratio）为1.07、1.18、1.20、1.21与1.24的二维约束环境中囚禁的6个钡138（Barium 138）离子。所有图像的曝光时长均为1秒。 pes_fig1a_1p07.csv、pes_fig1a_1p18、pes_fig1a_1p20、pes_fig1a_1p21及pes_fig1a_1p24按对应顺序存储了与上述5组TIFF图像匹配的势能面（potential energy surface, PES）数据。该势能面数据通过蒙特卡洛模拟（Monte Carlo simulations）获得：第一行数据为库仑晶体（Coulomb crystal）中单颗离子距阱中心的距离；第二列数据为经玻尔兹曼常数（Boltzmann constant）归一化后的势能面能量，单位为毫开尔文（mK）。 fig1b_Vhex.csv与fig1b_Vpen.csv存储了通过蒙特卡洛模拟得到的、以两种不同构型排布的6离子库仑晶体的能量数据。第一行（alpha）为陷阱纵横比，第二行为系统相对于最低能量构型的能量值。 pes_fig1c.csv存储了阱频率分别为100 kHz与120 kHz的二维谐波势（harmonic potential）环境中6离子的势能面数据。 tdc_data_zip.zip包含全部实验原始数据。每个数据集对应表data_experiment_2中记录的alpha值。在每份原始数据CSV文件中，记录了每颗光子的到达时间（单位：秒）。单次实验时长为5秒：前1.25秒仅用于离子冷却与离子数量核查；自1.25秒起，共执行74组完全相同的序列。每组序列的构成如下：在alpha=1.12的条件下维持20ms → 将alpha从1.12斜坡扫描至alpha1 → 在alpha=alpha1的条件下维持20ms → 将alpha斜坡扫描回1.12。斜坡扫描时长可变，但斜率保持恒定。每组序列的具体时长详见表data_experiment_2。 Fig3_probabilities.csv包含图3的实验数据。 Fig4_inset.csv包含图4内嵌图的实验数据。 fig4.csv包含图4的实验数据。