4.1.7. Parameters for time-evolution¶
dt
Type : Positive Double(Default value :
0.1
)Description : The width of time steps.
PumpType
Type : String (Chosen from
"Quench"
,"Pulse Laser"
,"AC Laser"
, and"DC Laser"
.Default value :"Quench"
)Description : The type of time-dependent Hamiltonian. For
"Quench"
, two body operator \(U_{\rm quench} \sum_i n_{i \uparrow} n_{i \downarrow}\) is added. For"Pulse Laser"
,"AC Laser"
, and"DC Laser"
, the hopping term is modulated as \(-\sum_{i j \sigma} t_{i j} \exp[-{\bf A}(t) \cdot ({\bf R}_i-{\bf R}_j)/(2\pi)] c_{i \sigma} c_{j \sigma}\), where \({\bf A}(t)\) is the vector potential which is defined as \({\bf A}(t) = {\bf A}_0 \exp[-(t-t_0)^2/(2 t_{\rm dump}^2)] \cos[\omega (t-t_0)]\), \({\bf A}(t) = {\bf A}_0 \sin[\omega (t-t_0)]\), and \({\bf A}(t) = {\bf A}_0 t\) for for"Pulse Laser"
,"AC Laser"
, and"DC Laser"
, respectively.potential.dat
file is written for displaying the vector potential and the electrical field at each time step.Uquench
Type : Double(Default value :
0.0
)Description : \(U_{\rm quench}\)
freq
Type : Double(Default value :
0.1
)Description : \(\omega\)
tshift
Type : Double(Default value :
0.0
)Description : \(t_0\)
tdump
Type : Double (Default value :
0.1
)Description : \(t_{\rm dump}\)
VecPotW
,VecPotL
Type : Double (Default value :
0.0
)Description : The vector potential (fractional coordinate of the reciprocal space) at \(t=t_0\). The reciprocal lattice vector is computed from the direct lattice vector shown in Fig. 4.1 , Fig. 4.2 , Fig. 4.4 , Fig. 4.3 .