BIOMS is a small python package for constructing quantum operators that are approximate binary integrals of motion. It is built on top of the QOSY python package.
We used BIOMS to study many-body localization (MBL) in one, two, and three-dimensions by finding binary integrals of motion known as "localized bits", or l-bits [1].
BIOMS implements a heuristic algorithm that takes as input an operator H (such as a Hamiltonian) and produces as output an operator O that minimizes the sum of the binarity |O^2 - I|^2 and the commutator norm |[H, O]|^2.
The bioms folder contains our implementation of the algorithm.
The runs folder contains our code for using BIOMS to find approximate l-bits in 1D, 2D, and 3D systems.
BIOMS requires the following software installed on your platform:
To copy the development version of the code to your machine, type
git clone https://github.com/ClarkResearchGroup/bioms.git
To install, type
cd bioms
python setup.py install --user
or add the bioms folder to your PYTHONPATH environment variable.
To test BIOMS after installation (recommended), type
cd bioms/tests
pytest
- Eli Chertkov
This project is licensed under the MIT License - see the LICENSE for details.
BIOMS is introduced in the following study of MBL in greater than one dimensions:
[1] E. Chertkov, B. Villalonga, and B. K. Clark, “Numerical evidence for many-body localization in two and three dimensions,” arXiv:2007.02959 (2020).
Qosy is based on work presented in
[2] E. Chertkov, B. Villalonga, and B. K. Clark, “Engineering Topological Models with a General-Purpose Symmetry-to-Hamiltonian Approach,” Phys. Rev. Research 2, 023348 (2020).