1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
|
<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<arguments>--latticesize 256</arguments>
<xsil_file name="runtime_lattice_initialisation_order.xsil" expected="../vectors/initialisation_order_expected.xsil" absolute_tolerance="1e-7" relative_tolerance="1e-5" />
</testing>
<name>runtime_lattice_initialisation_order</name>
<author>Graham Dennis</author>
<description>
1D TW model of the uniform Peaks system. Groundstate finder.
Demonstrates a phase-separated BEC groundstate.
Note that the initialisation of the 'wavefunction' vector
depends on the 'potential' vector having already been evaluated.
</description>
<features>
<auto_vectorise />
<benchmark />
<fftw plan="exhaustive" />
<globals>
<![CDATA[
/* physical constants */
const real omegaz = 2*M_PI*55.0;
const real omegarho = 2*M_PI*1020.0;
const real hbar = 1.05457148e-34;
const real M = 4.0026032*1.66053886e-27;
const real scatteringLength = 7.51e-9;
const real Uint3 = 4.0*M_PI*hbar*hbar*scatteringLength/M;
const real Nparticles = 2.0e6;
const real mu = pow(15*Nparticles*Uint3*omegarho*omegarho*omegaz/(8.0*M_PI)*pow(M/2,3.0/2.0),2.0/5.0);
const real Uint = Uint3*5.0*omegarho*omegarho*M/(4.0*M_PI*mu);
const real Uint_hbar = Uint/hbar;
const complex miUint_hbar = -i*Uint_hbar;
const real otherScatteringLength = 5.56e-9;
const real kappa = otherScatteringLength/scatteringLength;
const real eta = 0.5;
real Delta;
const real hbar_M = hbar/M;
/* absorbing boundary constants */
const real absorbleft = 5.0e4;
const real absorbright = 5.0e4;
const real widthPerp = 5.0e-6;
]]>
</globals>
<validation kind="run-time"/>
<arguments>
<argument name="latticesize" type="integer" default_value="70"/>
</arguments>
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="z" lattice="latticesize" domain="(-36e-5, 36e-5)" />
</transverse_dimensions>
</geometry>
<vector name="potential" initial_basis="z" type="complex">
<components>V</components>
<initialisation>
<![CDATA[
V = 0.5*M*omegaz*omegaz*z*z;
]]>
</initialisation>
</vector>
<vector name="wavefunction" initial_basis="z" type="complex">
<components>
phi1 phi0
</components>
<initialisation>
<dependencies>potential</dependencies>
<![CDATA[
phi1 = phi0 = 0.0;
if (eta*mu - V.Re() > 0.0) {
phi1 = sqrt((eta*mu - V.Re())/Uint);
}
if ((1.0-eta)*mu - V.Re() > 0.0) {
phi0 = sqrt(((1.0-eta)*mu - V.Re())/Uint);
}
]]>
</initialisation>
</vector>
<computed_vector name="normalisation" dimensions="" type="real">
<components>N1 N0</components>
<evaluation>
<dependencies>wavefunction</dependencies>
<![CDATA[
N1 = mod2(phi1);
N0 = mod2(phi0);
]]>
</evaluation>
</computed_vector>
<vector name="normalisation_copy" dimensions="" type="real">
<components>N1_copy N0_copy</components>
<initialisation>
<dependencies>normalisation</dependencies>
<![CDATA[
N1_copy = N1;
N0_copy = N0;
]]>
</initialisation>
</vector>
<sequence>
<filter>
<dependencies>wavefunction normalisation_copy</dependencies>
<![CDATA[
phi1 *= sqrt(eta*Nparticles/N1_copy);
phi0 *= sqrt((1.0-eta)*Nparticles/N0_copy);
]]>
</filter>
<integrate algorithm="RK4" interval="5.0e-4" steps="500">
<samples>50 50</samples>
<filters>
<filter>
<dependencies>wavefunction normalisation</dependencies>
<![CDATA[
phi1 *= sqrt(eta*Nparticles/N1);
phi0 *= sqrt((1.0-eta)*Nparticles/N0);
]]>
</filter>
</filters>
<operators>
<operator kind="ip" constant="yes">
<operator_names>T</operator_names>
<![CDATA[
T = -0.5*hbar/M*kz*kz;
]]>
</operator>
<integration_vectors>wavefunction</integration_vectors>
<dependencies>potential</dependencies>
<![CDATA[
dphi1_dt = T[phi1] - 1.0/hbar*(V + Uint*(mod2(phi1) + mod2(phi0)) - eta*mu)*phi1;
dphi0_dt = T[phi0] - 1.0/hbar*(V + Uint*(mod2(phi1) + kappa*mod2(phi0)) - (1.0-eta)*mu)*phi0;
]]>
</operators>
</integrate>
</sequence>
<output format="hdf5">
<sampling_group basis="z" initial_sample="yes">
<moments>dens1 dens0</moments>
<dependencies>wavefunction</dependencies>
<![CDATA[
dens1 = mod2(phi1);
dens0 = mod2(phi0);
]]>
</sampling_group>
<sampling_group basis="kz" initial_sample="yes">
<moments>dens1 dens0</moments>
<dependencies>wavefunction</dependencies>
<![CDATA[
dens1 = mod2(phi1);
dens0 = mod2(phi0);
]]>
</sampling_group>
</output>
</simulation>
|
