pyfermions

A Python package for rigorous free fermionic (and bosonic) entanglement renormalization from wavelet theory.

For details, please see the following three papers:

• Rigorous free-fermion entanglement renormalization from wavelet theory:

  @article{latticefermions,
    title={Rigorous free-fermion entanglement renormalization from wavelet theory}
    author={Jutho Haegeman and Brian Swingle and Michael Walter and Jordan Cotler and Glen Evenbly and Volkher B. Scholz},
    journal={Phys. Rev. X},
    year={2018},
    volume={8},
    pages={011003},
    doi={10.1103/PhysRevX.8.011003},
    eprint={1707.06243},
  }
  

• Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions:

  @article{diracfermions,
    title={Quantum circuit approximations and entanglement renormalization for the {D}irac field in 1+1 dimensions},
    author={Freek Witteveen and Volkher Scholz and Brian Swingle and Michael Walter},
    journal={Commun. Math. Phys.},
    year={2021},
    doi={10.1007/s00220-021-04274-w},
    eprint={1905.08821},
  }
  

• Bosonic entanglement renormalization circuits from wavelet theory:

  @article{freebosons,
    title={Bosonic entanglement renormalization circuits from wavelet theory},
    author={Freek Witteveen and Michael Walter},
    journal={SciPost Phys.},
    year={2021},
    volume={10},
    issue={6},
    pages={143},
    doi={10.21468/SciPostPhys.10.6.143},
    eprint={2004.11952},
  }
  

Installation

To install the latest released version from PyPI:

pip install pyfermions

To install the bleeding-edge development version (likely unstable):

pip install git+git://github.com/qi-rub/pyfermions

Getting Started

Now download and explore some of the Jupyter notebooks. The mera1d notebook is a good starting point.

Contributing

The contributors are listed here.

git clone git://github.com/qi-rub/pyfermions
cd pyfermions
pip install -e .[dev]