Table 20:
Predefined potentials and parameters.
whichpot |
Description |
Potential |
Parameters |
HO1D |
D harmonic oscillator |
 |
trap frequency. |
HO2D |
D harmonic oscillator |
 |
trap frequency in  |
HO3D |
D harmonic oscillator |
 |
trap frequency in  |
h+d |
D harmonic oscillator plus Gaussian central barrier |
 |
diplacement, height of Gaussian, width of Gaussian |
h2D+d |
D harmonic oscillator plus Gaussian central barrier |
 |
trap frequency in -/ -direction, height of Gaussian,
width of Gaussian in direction / |
HO<X>D+td_gauss |
<X>D harmonic oscillator plus time-dependent [height ] Gaussian central barrier in -direction |
 |
trap frequency in - and -direction, displacement of the minimum of the trap w.r.t. the barrier, displacement of Gaussian w.r.t. ,
width of Gaussian barrier in direction . Height
 |
Tilt |
Tilted triple well potential |
 |
tilt parameter, depth of the wells. |
Tiltinit |
single well potential to initialize system for a propagation in the tilted triple well potential Tilt. |
![$ V(x) = V(x)=-p_1 x + p_2 \sin(2 x)^4 + [(x-\frac{p_3 \pi}{2})/0.7]^{20}$](img222.png) |
tilt parameter, depth of the wells, is used to select displacement from the origin. |
OL_HW_1D |
lattice in one dimension with hard wall boundaries |
 |
depth of lattice, frequency of lattice, are the boundaries for the hard walls. |
TDHIM |
Harmonic potential with time-dependent frequency for benchmarks with the time-dependent harmonic interaction Hamiltonian. |
 |
No parameters, use with which_interaction ='TDHIM' |
tun |
Potential for tunneling to open space dynamics |
 |
no parameters, initial wavefunction should be localized at , use whichpot='ini' for relaxation of initial state. |
thr |
Tunneling to open space with a threshold |
 |
Parameter defines the threshold and the polynomial coefficients
,
, , . |
DQD |
Double quantum dot potential |
 |
depth of first quantum dot, width of first quantum dot, distance of the two dots, depth of second quantum dot, width of second quantum dot. |
DQDLASER |
Double quantum dot potential illuminated by a laser with time-dependent amplitude
. |
 |
same as in DQD,
for and
else. |
zero |
No potential |
 |
No parameters. Boundary conditions determined by the discrete variable representation. |
MQT_ini |
Rectangular D box |
and
![$ V(x)=0 \qquad \forall [x\in )0,20-p_1(]$](img243.png) |
barrier width in propagation MQT_prop |
MQT_prop |
Rectangular D box, barrier and open space |
and
and
and
![$ V(x)=0.05 \forall [x\in (20-p_1,20)]$](img246.png) |
barrier width |
qpl |
D lattice with frequencies/amplitudes |
 |
amplitudes of the lattices,
frequencies of the lattices. |
rot2D |
D harmonic oscillator with rotating anisotropy |
 |
the rotation frequency, the time-dependent anisotropy. anisotropy maximum, ramp-up and ramp-down time of the anisotropy, plateau time at which . |
stir2D |
D harmonic trap with rotating stirring rod |
![$ V(x,t) = \linebreak\frac{1}{2} (x^2 + y^2)+ \linebreak p_3 exp[ \linebreak -\frac{1}{p_4}(x-p_2\cos(p_1 t))^2 + (y - p_2\sin(p_1 t))^2]$](img253.png) |
stirring frequency, stirring radius, height of Gaussian rod, width of Gaussian rod. |
ellipse2D |
Elliptic two-dimensional hard-walled potential well |
 |
parameters defining the ellipse. |
|
|
|
|