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Research data supporting 'Instantons and the quantum bound on chaos'


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Type

Dataset

Change log

Authors

Sadhasivam, Vijay 

Description

  1. This dataset contains the data obtained exact quantum simulations of an 'Out-of-time-ordered correlator (OTOC)' and its classical and RPMD approximation, for a model two-dimensional chaotic potential. It also contains the data supporting the claim that instanton enforces the quantum bound on chaos. We refer the reader to https://arxiv.org/abs/2212.10202 for more details on this work.

  2. The code for the same was written in python and FORTRAN (available on request). The data is stored figure-wise (figure order as in https://arxiv.org/abs/2212.10202) in this dataset.

  3. Under 'FIG2a', we provide the data for classical, RPMD and (Kubo-regularised) quantum OTOCs at three different temperatures measured in units of 'Tc', the instanton crossover temperature. The respective file names contains the details of the temperature and parameters in the concerned file.

  4. Under FIG2b, we provide a text file providing information about the temperature dependence of the RPMD growth rate (or RPMD Lyapunov exponents) of OTOCs. We also provide the corresponding quantum Lyapunov exponent at the respective temperatures.

  5. Under FIG3a, we provide the data to reproduce the classical and RPMD Poincare sections (at 0.95Tc and 3Tc).

  6. Under FIG3b, we provide the data for the 'microcanonical' RPMD and classical OTOCs at different temperatures (indicated in the file name).

  7. Under FIG3d, we provide the data for 'filtering' the RPMD Poincare sections (wrt to radius of gyration histogram in fig 3c).

  8. Finally, under SI, we provide the data for quantum OTOCs at temperatures beyond what is described in the main text, i.e down to T=0.

Version

Software / Usage instructions

The data was generated using code written python and FORTRAN. The specific instructions for writing this code are provided in the methods section of the associated manuscript.

Keywords

Information scrambling, Path integral, Quantum chaos

Publisher

Sponsorship
St. John's college, University of Cambridge, Yusuf Hamied Department of Chemistry
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