The interface every system having Liouvillean time-evolution must present towards the trajectory drivers. More...

#include <Liouvillean.h>

Inheritance diagram for structure::Liouvillean< RANK >:

Collaboration diagram for structure::Liouvillean< RANK >:

Public Types
typedef boost::shared_ptr< const Liouvillean >	Ptr

typedef quantumdata::StateVector< RANK >	StateVector

typedef Base::StateVectorLow	StateVectorLow

typedef Base::DensityOperatorLow	DensityOperatorLow

typedef Base::LazyDensityOperator	LazyDensityOperator

typedef Base::DArray1D	Rates
	The 1D real array for storing the jump rates.

Public Types inherited from quantumdata::Types< RANK, LiouvilleanAveragedCommonRanked< RANK > >
typedef CArray< RANK >	StateVectorLow

typedef CArray< 2 *RANK >	DensityOperatorLow

Public Member Functions
const Rates	rates (double t, const StateVector &psi) const
	Returns the set of jump rates $\bra{\Psi}J_m^\dagger J_m\ket{\Psi},$ where the Lindblads are in general time-dependent. More...

void	actWithJ (double t, StateVectorLow &psi, size_t m) const
	Performs the quantum jump operation $\ket\Psi\rightarrow J_m(t)\ket\Psi$ . More...

Static Public Attributes
static const int	N_RANK =RANK

Detailed Description

template<int RANK>
class structure::Liouvillean< RANK >

The interface every system having Liouvillean time-evolution must present towards the trajectory drivers.

The time-evolution must be Markovian where the Lindblad form of the Master equation is the most general one possible:

$\dot\rho=\frac1{i\hbar}\comm{H}\rho+\sum_m\lp J_m\rho J_m^\dag-\frac12\comm{J_m^\dag J_m}{\rho}_+\rp$

The class represents the set of $J_m$ operators (Lindblads or quantum jump operators) of arbitrary number, either for Master equation or Monte Carlo wave-function evolution (in the latter case it calculates the jump rates as well).

Template Parameters

RANK	arity of the Hilbert space

Note: No matter how complex the quantum system, the framework always assigns a unique ordinal to each jump corresponding to every subsystem; It is always possible to forgo the explicit calculation of certain jump rates because the rate can be calculated also on the basis of the Liouvillean::actWithJ function by the MCWF stepper. The fact that such a fallback is desired can be signalled by setting a negative value for the rate of the given jump (“special jump”).

See also: The notion of “special jumps” in the framework; The design is very similar to Exact, but here the choice is not between TwoTime/OneTime dependence, but OneTime/NoTime.

Definition at line 37 of file Liouvillean.h.

Member Function Documentation

template<int RANK>

void structure::Liouvillean< RANK >::actWithJ	(	double	t,
		StateVectorLow &	psi,
		size_t	m
	)		const

inline

Performs the quantum jump operation $\ket\Psi\rightarrow J_m(t)\ket\Psi$ .

Parameters

[in]	t
[in,out]	psi	$\ket\Psi$
[out]	m

Definition at line 64 of file Liouvillean.h.

template<int RANK>

const Rates structure::Liouvillean< RANK >::rates	(	double	t,
		const StateVector &	psi
	)		const

inline

Returns the set of jump rates $\bra{\Psi}J_m^\dagger J_m\ket{\Psi},$ where the Lindblads are in general time-dependent.

Simply redirects to LiouvilleanAveragedCommonRanked::average, so that this function does not appear in the interface for implementers.

Definition at line 61 of file Liouvillean.h.

The documentation for this class was generated from the following file:

structure/Liouvillean.h

Public Types

Public Member Functions

Static Public Attributes

Detailed Description

template<int RANK> class structure::Liouvillean< RANK >

Member Function Documentation

template<int RANK>
class structure::Liouvillean< RANK >