Published March 31, 2023 | Version 2.0.0
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Dataset for "Estimating truncation effects of quantum bosonic systems using sampling algorithms"

  • 1. University of Surrey
  • 2. University of Chicago
  • 3. Quantinuum K. K.
  • 4. Kyoto University

Description

Markov Chain Monte Carlo simulation data for the preprint.

T010ad***S10000M*_1.txt: simulation history for a_{dig} = 0.3, 0.5, 0.7, m^2 = 1, -1, B_max = 5000, used for Table 1 and Figure 1.

T010R100L401S10000M1_1.txt: simulation history for a_{dig} = 0.5, m^2 = 1, B_max = 1, used for Figure 2.

Table2.zip: contains simulation history for Table 2 and Figure 3. File name "T1a0.2S1250M1L4s2101.txt" indicates that the temperature is 1, a_{dig} = 0.2, Delta = 1250, m^2 = 1, lattice size is 4 * 4, and the random seed is 2101. Lines contain the expectation values of the potential energy and the two correlation functions obtained for successive steps. The largest estimated auto-correlation length d_q, which is used for the analysis, is as follows:

adig d(0,0) d(π,π)
0.2 37 4
0.25 38 4
0.3 37 4
0.4 41 4
0.5 59 5
0.6 130 7
0.7 369 15
0.8 968 55
0.9 2174 148
1.0 4491 319

The initial 10 d_q steps are discarded as a burn-in period, regardless of whether we conducted a warm-up run prior to the steps contained in this dataset.

Files

T010ad030S10000M-1_1.txt

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Additional details

Related works

Is supplement to
Preprint: arXiv:2212.08546 (arXiv)