“Pymablock: A software package for constructing effective models” by Isidora Araya Day

https://arxiv.org/abs/

Authors: Isidora Araya Day, Sebastian Miles, Daniel Varjas, Anton Akhmerov

In the study of quantum systems, effective models serve as a compact and insightful representation. They reduce the complex Hilbert space to a manageable low energy subspace, making the Hamiltonian interpretable and its observables computationally friendly. However, the construction of an effective Hamiltonian, which involves the application of perturbation theory, can be a daunting task, especially when dealing with large Hilbert spaces, high perturbative orders, or multiple perturbations.

In this talk, we introduce an algorithm designed to streamline this process. Our algorithm is capable of constructing both symbolic and numeric low energy models with computational efficiency. It is versatile, with applications ranging from superconducting circuits and tight-binding models to interacting Hamiltonians and more.

See our documentation at https://pymablock.readthedocs.io.