Bath auxiliary routines

Description

Implements a number of auxiliary procedures used in the bath handling

Quick access

Routines:

is_diagonal(), is_identity()

Used modules

• ed_input_vars: User-accessible input variables

• ed_vars_global: Global variable accessible throughout the code

• ed_aux_funx: Assortment of auxiliary procedures required throughout the code

External modules

• sf_constants

  • zero

• sf_iotools

  • free_unit()

  • reg()

  • file_length()

  • str()

• sf_linalg

  • eye()

  • inv()

• sf_arrays

  • linspace()

• sf_misc

  • assert_shape()

Subroutines and functions

interface  ed_bath_aux/is_identity(mlso, mnnn)

This subroutine checks if a matrix \(\hat{O}\) in the basis of the replica or general baths is the identity.

The input matrix can have different shapes:

• [ nnambu . nspin . norb , nnambu . nspin . norb ]

• [ nnambu . nspin , nnambu . nspin , norb , norb ]

Parameters:

• mlso (nnambu · norb · nspin, nnambu · norb · nspin) [complex]

• mnnn (nnambu · nspin, nnambu · nspin, norb, norb) [complex]

Result:

flag [logical]

interface  ed_bath_aux/is_diagonal(mlso, mnnn)

This subroutine checks if a matrix \(\hat{O}\) in the basis of the replica or general baths is diagonal.

The input matrix can have different shapes:

• [ nnambu . nspin . norb , nnambu . nspin . norb ]

• [ nnambu . nspin , nnambu . nspin , norb , norb ]

Parameters:

• mlso (nnambu · norb · nspin, nnambu · norb · nspin) [complex]

• mnnn (nnambu · nspin, nnambu · nspin, norb, norb) [complex]

Result:

flag [logical]