Floquet real-time RG implementation

This is the documentation of a python implementation of the Floquet real-time renormalization group method for the periodically driven isotropic spin 1/2 Kondo model.

The FRTRG package provides the following submodules:

• frtrg.kondo: FRTRG solution of the isotropic spin-1/2 Kondo model with two reservoirs. Create a frtrg.kondo.Kondo object and use frtrg.kondo.Kondo.run() to run the RG flow.

• frtrg.data_management: save and load Kondo RG flow results in a database and in HDF5 files. Use frtrg.data_management.DataManager.list() to obtain main results (such as the conductance) in a pandas table.

• frtrg.gen_data: interface for generating data for AC driving from the command line and for saving the results.

• frtrg.gen_pulse_data: interface for generating data for pulsed driving from the command line and for saving the results.

• frtrg.visualize: basic 3d visualization command line interface using PyQtGraph

• frtrg.rtrg: helper module for Floquet matrix RG objects

• frtrg.compact_rtrg: variant of frtrg.rtrg that uses (and requires) a symmetry in the bias voltage of the form V(-t)=-V(t).

• frtrg.reservoirmatrix: helper module for matrices in reservoir space, which are also Floquet matrices and RG objects

• frtrg.rtrg_c: helper module for modified matrix product of Floquet matrices, implemented in C

• frtrg.frequency_integral: helper module for exact and approximate solutions of an integral required in the RG equations.

• frtrg.settings: global settings

This documentation is incomplete. Currently only the main module frtrg.kondo is documented in a somewhat standardized way.

Indices and tables

• Index

• Module Index

• Search Page

• frtrg
  • Compute dynamics of small open quantum systems using the Floquet real-time renormalization group. See frtrg.kondo for the main documentation.
  • Submodules
    • frtrg.compact_rtrg
    • frtrg.data_management
    • frtrg.frequency_integral
    • frtrg.gen_data
    • frtrg.gen_pulse_data
    • frtrg.kondo
    • frtrg.reservoirmatrix
    • frtrg.rtrg
    • frtrg.settings
    • frtrg.setup_cublas
    • frtrg.visualize

See Also

• package website: https://github.com/stiglers-eponym/frtrg

• explanation of the method: https://doi.org/10.18154/RWTH-2023-05062

• some interactive plots: https://vbruch.eu/frtrg.html