step
int64 0
100k
| pmove
float64 0.47
0.78
| energy
float64 -94,671.99
192k
| energy_imag
float64 -1,115,488.63
1.1M
| potential
float64 1.87
46
| kinetic
float64 -94,681.24
192k
⌀ | variance
float64 0
123,491B
| Lz
stringlengths 1
7
| Lz_square
float64 -0.16
622
⌀ | L_square
float64 -2,558,066.5
5.1M
⌀ |
---|---|---|---|---|---|---|---|---|---|
0 | 0.61 | 15.6221 | -0.0015 | 10.4326 | 5.1895 | 0.474 | +5.2803 | 393.6094 | 1,134.728 |
1 | 0.61 | 15.6111 | -0.0031 | 10.4484 | 5.1627 | 0.4939 | +5.2433 | 381.6448 | 1,119.3212 |
2 | 0.61 | 15.5685 | 0.0096 | 10.4209 | 5.1476 | 0.474 | +4.9455 | 366.502 | 1,090.2864 |
3 | 0.62 | 15.5122 | 0.01 | 10.3965 | 5.1158 | 0.4102 | +4.8401 | 357.6216 | 1,063.5963 |
4 | 0.62 | 15.459 | 0.0121 | 10.3659 | 5.0932 | 0.378 | +4.3747 | 336.0629 | 1,007.3039 |
5 | 0.61 | 15.4332 | 0.0135 | 10.3487 | 5.0844 | 0.3792 | +3.8927 | 324.9057 | 957.4355 |
6 | 0.61 | 15.3972 | 0.01 | 10.3205 | 5.0768 | 0.357 | +3.4685 | 302.1463 | 903.6041 |
7 | 0.61 | 15.362 | 0.0002 | 10.2882 | 5.0738 | 0.3324 | +3.1305 | 288.7839 | 861.7224 |
8 | 0.61 | 15.3416 | 0.0027 | 10.2707 | 5.0709 | 0.3137 | +2.9783 | 272.7476 | 809.84 |
9 | 0.61 | 15.3016 | 0.0112 | 10.2341 | 5.0675 | 0.3013 | +2.7534 | 254.1028 | 755.304 |
10 | 0.61 | 15.2754 | 0.0028 | 10.2043 | 5.0711 | 0.2786 | +2.4842 | 244.4765 | 722.712 |
11 | 0.61 | 15.2497 | -0.0064 | 10.1792 | 5.0705 | 0.2962 | +2.3848 | 238.1577 | 694.4603 |
12 | 0.61 | 15.239 | -0.0052 | 10.1624 | 5.0767 | 0.2783 | +2.4192 | 226.7436 | 656.9059 |
13 | 0.61 | 15.2062 | -0.0014 | 10.1297 | 5.0765 | 0.2843 | +2.1309 | 217.1932 | 625.3897 |
14 | 0.61 | 15.1945 | 0.0011 | 10.0979 | 5.0967 | 0.2497 | +2.2000 | 209.6185 | 602.2683 |
15 | 0.61 | 15.1711 | 0.0033 | 10.087 | 5.0841 | 0.2538 | +1.9755 | 202.1521 | 577.2155 |
16 | 0.61 | 15.1584 | 0.0009 | 10.071 | 5.0874 | 0.2255 | +1.8894 | 195.5666 | 558.8446 |
17 | 0.6 | 15.148 | -0.0018 | 10.0534 | 5.0946 | 0.2238 | +1.6898 | 191.1897 | 540.0798 |
18 | 0.6 | 15.1479 | 0.0005 | 10.041 | 5.1069 | 0.2223 | +1.6067 | 185.2843 | 526.1152 |
19 | 0.6 | 15.1203 | -0 | 10.0231 | 5.0972 | 0.2131 | +1.5537 | 183.5121 | 513.7548 |
20 | 0.61 | 15.1081 | 0.005 | 10.0122 | 5.0959 | 0.2198 | +1.3299 | 178.6292 | 502.8951 |
21 | 0.6 | 15.0954 | -0.0063 | 10.004 | 5.0914 | 0.2145 | +1.2374 | 176.7635 | 493.3174 |
22 | 0.6 | 15.0792 | 0.0046 | 9.9753 | 5.1039 | 0.193 | +1.0581 | 172.6135 | 490.5401 |
23 | 0.6 | 15.074 | -0.0026 | 9.9771 | 5.0969 | 0.1955 | +1.0909 | 169.7662 | 480.5806 |
24 | 0.6 | 15.0586 | -0.0025 | 9.9545 | 5.104 | 0.2046 | +1.0261 | 165.7942 | 470.6849 |
25 | 0.6 | 15.0545 | 0.0043 | 9.9571 | 5.0974 | 0.2112 | +0.9376 | 166.1504 | 463.1272 |
26 | 0.6 | 15.035 | 0.0006 | 9.943 | 5.092 | 0.2117 | +0.7350 | 159.0274 | 451.9535 |
27 | 0.6 | 15.0237 | -0.002 | 9.9234 | 5.1004 | 0.1947 | +0.3643 | 160.0886 | 452.2356 |
28 | 0.6 | 15.0104 | 0.0043 | 9.9109 | 5.0995 | 0.1927 | +0.0627 | 156.4665 | 442.436 |
29 | 0.59 | 15.0048 | -0.0028 | 9.8976 | 5.1072 | 0.1765 | +0.0465 | 158.9783 | 441.8107 |
30 | 0.59 | 15.0018 | 0.0034 | 9.8972 | 5.1046 | 0.2075 | -0.0968 | 152.8621 | 427.9399 |
31 | 0.59 | 14.9902 | 0.0107 | 9.8754 | 5.1148 | 0.1988 | -0.1982 | 149.9618 | 420.0309 |
32 | 0.59 | 14.9816 | 0.0097 | 9.8665 | 5.1152 | 0.1874 | -0.1915 | 153.6056 | 420.2262 |
33 | 0.59 | 14.9603 | 0.0057 | 9.8533 | 5.107 | 0.1812 | -0.1017 | 146.9306 | 407.5125 |
34 | 0.59 | 14.9515 | 0.0076 | 9.8514 | 5.1001 | 0.1732 | -0.1143 | 146.098 | 406.182 |
35 | 0.59 | 14.9508 | 0.0022 | 9.8512 | 5.0995 | 0.176 | +0.0229 | 144.6527 | 404.446 |
36 | 0.59 | 14.9436 | -0.0023 | 9.8405 | 5.1031 | 0.1749 | -0.0578 | 141.6222 | 398.3167 |
37 | 0.6 | 14.9325 | -0.0023 | 9.8293 | 5.1032 | 0.1697 | -0.1980 | 136.7503 | 389.8189 |
38 | 0.59 | 14.9182 | -0.0074 | 9.8185 | 5.0997 | 0.1678 | -0.1206 | 136.9478 | 387.3788 |
39 | 0.59 | 14.9014 | 0.0016 | 9.8025 | 5.0989 | 0.1538 | -0.1186 | 132.6214 | 379.647 |
40 | 0.59 | 14.8932 | 0.002 | 9.7944 | 5.0988 | 0.1501 | -0.1947 | 132.4916 | 376.2045 |
41 | 0.59 | 14.9009 | -0.001 | 9.7961 | 5.1047 | 0.1696 | -0.0260 | 130.8887 | 375.8342 |
42 | 0.58 | 14.8808 | 0.0032 | 9.7842 | 5.0965 | 0.1565 | +0.0681 | 122.5324 | 365.7076 |
43 | 0.58 | 14.862 | 0.0053 | 9.7719 | 5.0902 | 0.155 | +0.0725 | 123.8307 | 364.362 |
44 | 0.59 | 14.8639 | 0.0017 | 9.7672 | 5.0967 | 0.1594 | +0.1339 | 121.1849 | 357.9981 |
45 | 0.59 | 14.8581 | -0.0027 | 9.7609 | 5.0972 | 0.1532 | +0.2531 | 125.2185 | 359.989 |
46 | 0.59 | 14.8428 | 0.0048 | 9.7593 | 5.0835 | 0.1543 | +0.2787 | 121.1408 | 352.2651 |
47 | 0.58 | 14.8402 | 0.0028 | 9.7558 | 5.0844 | 0.1494 | +0.5213 | 120.3478 | 344.2284 |
48 | 0.58 | 14.8279 | -0.0039 | 9.7364 | 5.0915 | 0.1417 | +0.4316 | 120.1372 | 345.477 |
49 | 0.58 | 14.8206 | -0.0053 | 9.7359 | 5.0847 | 0.1528 | +0.2964 | 116.3679 | 330.0346 |
50 | 0.59 | 14.8247 | -0.0051 | 9.7356 | 5.089 | 0.1486 | +0.1847 | 115.5189 | 324.9444 |
51 | 0.58 | 14.801 | -0.0014 | 9.719 | 5.082 | 0.1298 | +0.5332 | 113.0374 | 322.3067 |
52 | 0.58 | 14.7925 | -0.0033 | 9.7104 | 5.0821 | 0.1364 | +0.3269 | 109.7839 | 317.3476 |
53 | 0.58 | 14.7856 | -0.0041 | 9.7068 | 5.0788 | 0.1395 | +0.2617 | 109.7631 | 315.4648 |
54 | 0.58 | 14.779 | -0.0004 | 9.6997 | 5.0793 | 0.1417 | +0.3435 | 107.985 | 309.1381 |
55 | 0.58 | 14.7708 | 0.0018 | 9.6935 | 5.0773 | 0.1232 | +0.3062 | 104.4923 | 304.7716 |
56 | 0.58 | 14.767 | 0.003 | 9.6812 | 5.0858 | 0.1356 | +0.4514 | 101.8053 | 298.6811 |
57 | 0.58 | 14.7564 | -0.006 | 9.6811 | 5.0753 | 0.1338 | +0.6879 | 98.4566 | 294.9981 |
58 | 0.57 | 14.7526 | -0.0043 | 9.676 | 5.0766 | 0.1278 | +0.7075 | 99.9964 | 295.3745 |
59 | 0.57 | 14.7502 | 0.0059 | 9.6772 | 5.073 | 0.1379 | +0.7670 | 96.7499 | 288.5446 |
60 | 0.58 | 14.7442 | 0.0073 | 9.6696 | 5.0746 | 0.1317 | +0.7304 | 94.1347 | 280.3943 |
61 | 0.58 | 14.7286 | 0.0013 | 9.6575 | 5.0711 | 0.1266 | +0.6253 | 90.391 | 271.4784 |
62 | 0.57 | 14.7272 | 0.0036 | 9.6479 | 5.0793 | 0.1256 | +0.7146 | 91.2076 | 271.8753 |
63 | 0.57 | 14.7164 | 0.0015 | 9.6508 | 5.0656 | 0.1377 | +0.7411 | 87.6401 | 265.2331 |
64 | 0.58 | 14.7225 | 0.0034 | 9.6499 | 5.0726 | 0.1488 | +0.7067 | 84.9974 | 263.3596 |
65 | 0.58 | 14.718 | 0.0051 | 9.6449 | 5.0731 | 0.1294 | +0.9444 | 84.2329 | 258.9197 |
66 | 0.57 | 14.7049 | 0.0055 | 9.6321 | 5.0728 | 0.14 | +0.8821 | 82.8715 | 256.426 |
67 | 0.57 | 14.6998 | 0.004 | 9.6298 | 5.07 | 0.1273 | +0.9832 | 79.2472 | 250.4724 |
68 | 0.57 | 14.696 | 0.004 | 9.6246 | 5.0714 | 0.1667 | +1.1457 | 79.1218 | 246.6311 |
69 | 0.57 | 14.6779 | 0.0024 | 9.6034 | 5.0745 | 0.1188 | +1.0373 | 77.1739 | 237.4843 |
70 | 0.57 | 14.6892 | -0.0018 | 9.6104 | 5.0788 | 0.1325 | +1.1650 | 76.7183 | 234.7322 |
71 | 0.57 | 14.6839 | -0.0003 | 9.5999 | 5.084 | 0.1176 | +1.4389 | 75.1427 | 231.4137 |
72 | 0.57 | 14.6794 | -0.0006 | 9.6041 | 5.0752 | 0.1264 | +1.3686 | 72.1538 | 225.5553 |
73 | 0.57 | 14.6669 | 0.0018 | 9.5944 | 5.0726 | 0.1306 | +1.1991 | 70.8731 | 220.015 |
74 | 0.57 | 14.6717 | 0.0027 | 9.5918 | 5.0799 | 0.1229 | +1.4039 | 69.0566 | 217.5612 |
75 | 0.57 | 14.6455 | -0.0036 | 9.5769 | 5.0686 | 0.1126 | +1.6358 | 69.1466 | 213.2548 |
76 | 0.57 | 14.6486 | 0.0007 | 9.5802 | 5.0684 | 0.1171 | +1.8038 | 69.9799 | 214.4712 |
77 | 0.57 | 14.6506 | 0.0016 | 9.5815 | 5.0691 | 0.1198 | +1.9054 | 69.0581 | 214.1947 |
78 | 0.57 | 14.6392 | -0.0047 | 9.5842 | 5.055 | 0.114 | +2.0018 | 67.3321 | 209.56 |
79 | 0.57 | 14.6289 | -0.0018 | 9.5666 | 5.0623 | 0.1038 | +1.8881 | 65.8373 | 205.8193 |
80 | 0.57 | 14.6265 | -0.0031 | 9.5681 | 5.0584 | 0.0974 | +1.8580 | 65.5187 | 204.1884 |
81 | 0.57 | 14.6366 | -0.0025 | 9.5755 | 5.0611 | 0.1037 | +1.8117 | 66.3946 | 204.9334 |
82 | 0.57 | 14.6183 | -0.0011 | 9.5603 | 5.058 | 0.0998 | +1.7028 | 63.6478 | 199.0851 |
83 | 0.57 | 14.6233 | -0.0024 | 9.5604 | 5.0629 | 0.115 | +1.6737 | 64.4707 | 198.3839 |
84 | 0.57 | 14.6195 | -0.0045 | 9.5504 | 5.0692 | 0.1031 | +1.7513 | 62.7654 | 194.0681 |
85 | 0.57 | 14.6167 | 0.0024 | 9.5445 | 5.0722 | 0.1008 | +1.6562 | 62.1276 | 188.2343 |
86 | 0.57 | 14.6032 | 0.0031 | 9.534 | 5.0692 | 0.0886 | +1.6896 | 62.1829 | 191.1082 |
87 | 0.57 | 14.6033 | -0.0049 | 9.5361 | 5.0673 | 0.0978 | +1.7295 | 62.5788 | 189.4664 |
88 | 0.57 | 14.5981 | -0.0026 | 9.5292 | 5.0689 | 0.0931 | +1.8361 | 59.2045 | 186.6289 |
89 | 0.57 | 14.5913 | -0.0008 | 9.5267 | 5.0646 | 0.0994 | +1.8786 | 58.6276 | 184.5013 |
90 | 0.57 | 14.5901 | 0.0004 | 9.5243 | 5.0658 | 0.112 | +1.6846 | 58.4931 | 183.0115 |
91 | 0.56 | 14.5871 | -0.0039 | 9.5205 | 5.0666 | 0.0864 | +1.6644 | 57.7565 | 181.5521 |
92 | 0.57 | 14.5845 | -0.0003 | 9.5222 | 5.0623 | 0.0961 | +1.6744 | 57.825 | 180.5481 |
93 | 0.56 | 14.5879 | -0.002 | 9.5238 | 5.0641 | 0.1048 | +1.5480 | 56.2857 | 176.5392 |
94 | 0.57 | 14.5866 | 0.001 | 9.5216 | 5.0651 | 0.088 | +1.5573 | 56.8831 | 175.3628 |
95 | 0.56 | 14.5879 | -0.0039 | 9.5213 | 5.0666 | 0.0955 | +1.5123 | 56.2775 | 174.9629 |
96 | 0.56 | 14.5857 | -0.0027 | 9.5216 | 5.0641 | 0.0922 | +1.5293 | 54.9862 | 174.1477 |
97 | 0.56 | 14.5717 | -0.0061 | 9.5058 | 5.0659 | 0.0804 | +1.4634 | 54.0323 | 172.2108 |
98 | 0.57 | 14.5744 | -0.001 | 9.5142 | 5.0602 | 0.0913 | +1.5521 | 54.6583 | 172.559 |
99 | 0.56 | 14.5701 | 0.0048 | 9.5083 | 5.0619 | 0.075 | +1.6192 | 53.352 | 168.8174 |
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Data for the Study: "Taming Landau Level Mixing in Fractional Quantum Hall States with Deep Learning"
This dataset contains the raw data and plotting code used in the study titled:
"Taming Landau Level Mixing in Fractional Quantum Hall States with Deep Learning"
The relevant code is available at https://github.com/bytedance/DeepHall.
Data Files
The data directories are named following the convention n{number of electrons}l{flux}/k{interaction strength kappa}
.
For each calculation, the following data are included:
config.yml
: Hyperparameters used in the simulation.train_stats.csv
: Energy, angular momentum, and other quantities at each training step.ckpt_xxxxxx.npz
: Checkpoint of the final state, including network parameters, walker coordinates, and other relevant quantities.energy/
: NetObs energy evaluation results with fixed parameters.1rdm/
,overlap/
,pair_corr/
: NetObs evaluation of the one-body reduced density matrix (1-RDM), overlap with the Laughlin wavefunction, and the pair correlation function.
For the electron densities of quasiparticle and quasihole states, the data are placed in nxlx/kx/lz{angular momentum in the z direction}
, with:
density/
: NetObs evaluation of electron density.
Code for Plotting Figures
prep.py
: Script to process data and createenergy_vs_n.csv
andllm_1_3.csv
for use in plotting.plot.ipynb
: Jupyter notebook for generating the plots.
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