RedfieldRelaxationTensor

Redfield Tensor

Class Details

class quantarhei.qm.liouvillespace.redfieldtensor.RedfieldRelaxationTensor(ham, sbi, initialize=True, cutoff_time=None, as_operators=False, name='')

Redfield Relaxation Tensor

Parameters:

• ham (Hamiltonian) – Hamiltonian of the system.
• sbi (SystemBathInteraction) – Object specifying the system-bath interaction
• initialize (bool) – If True, the tensor will be imediately calculated
• cutoff_time (float) – Time in femtoseconds after which the integral kernel in the definition of the relaxation tensor is assummed to be zero.
• as_operators (bool) – If True the tensor will not be constructed. Instead a set of operators whose application is equal to the application of the tensor will be defined and stored

secularize()

Deletes non-secular terms in the relaxation tensor. If the tensor is represented by operators (i.e. the as_operators atribute is True), the methods raises an Exception. Use convert_2_tensor first.

initialize()

Initializes the Redfield tensor if created with parameter initialize=False

convert_2_tensor()

When created with as_operators=True the tensor is internally represented by a set of operators. This method converts this representation to a tensor

Attributes:

Km

Ld

Lm

data

secular_GG

secular_KK

secular_basis_op

Methods

apply(oper[, copy])	Applies the relaxation tensor on a superoperator
convert_2_tensor()	Converts internally the operator representation to a tensor one
copy()	Returns a shallow copy of the self
deepcopy()	Returns a deep copy of the self
get_secular_basis_operator()	Returns the operator to ensure the correct basis context
initialize()	Initializes the Redfield tensor with values
load(filename[, test])	Loads an object from a file and returns it
loaddir(dirname)	Returns a directory of objects saved into a directory
save(filename[, comment, test])	Saves the object with all its content into a file
savedir(dirname[, tag, comment, test])	Saves an object into directory containing a file with unique name
scopy()	Creates a copy of the object by saving and loading it
secularize([legacy])	Secularizes the relaxation tensor
transform(SS[, inv])	Transformation of the tensor by a given matrix
updateStructure()	Recalculates dephasing and depopulation rates

get_current_basis
protect_basis
recover_nonsecular
set_current_basis
unprotect_basis

apply(oper, copy=True)

Applies the relaxation tensor on a superoperator

convert_2_tensor()

Converts internally the operator representation to a tensor one

Converst the representation of the relaxation tensor through a set of operators into a tensor representation.

initialize()

Initializes the Redfield tensor with values

transform(SS, inv=None)

Transformation of the tensor by a given matrix

This function transforms the Operator into a different basis, using a given transformation matrix.

Parameters:

• SS (matrix, numpy.ndarray) – transformation matrix
• inv (matrix, numpy.ndarray) – inverse of the transformation matrix