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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<xsil_file name="initialisation_order.xsil" expected="initialisation_order_expected.xsil" absolute_tolerance="1e-7" relative_tolerance="1e-5" />
</testing>
<name>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 double omegaz = 2*M_PI*55.0;
const double omegarho = 2*M_PI*1020.0;
const double hbar = 1.05457148e-34;
const double M = 4.0026032*1.66053886e-27;
const double scatteringLength = 7.51e-9;
const double Uint3 = 4.0*M_PI*hbar*hbar*scatteringLength/M;
const double Nparticles = 2.0e6;
const double mu = pow(15*Nparticles*Uint3*omegarho*omegarho*omegaz/(8.0*M_PI)*pow(M/2,3.0/2.0),2.0/5.0);
const double Uint = Uint3*5.0*omegarho*omegarho*M/(4.0*M_PI*mu);
const double Uint_hbar = Uint/hbar;
const complex miUint_hbar = -i*Uint_hbar;
const double otherScatteringLength = 5.56e-9;
const double kappa = otherScatteringLength/scatteringLength;
const double eta = 0.5;
double Delta;
const double hbar_M = hbar/M;
/* absorbing boundary constants */
const double absorbleft = 5.0e4;
const double absorbright = 5.0e4;
const double widthPerp = 5.0e-6;
]]>
</globals>
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="z" lattice="256" 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="double">
<components>N1 N0</components>
<evaluation>
<dependencies>wavefunction</dependencies>
<![CDATA[
N1 = mod2(phi1);
N0 = mod2(phi0);
]]>
</evaluation>
</computed_vector>
<sequence>
<filter>
<dependencies>wavefunction normalisation</dependencies>
<![CDATA[
phi1 *= sqrt(eta*Nparticles/N1);
phi0 *= sqrt((1.0-eta)*Nparticles/N0);
]]>
</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 initial_sample="yes">
<dimension name="z" />
<moments>dens1 dens0</moments>
<dependencies>wavefunction</dependencies>
<![CDATA[
dens1 = mod2(phi1);
dens0 = mod2(phi0);
]]>
</sampling_group>
<sampling_group initial_sample="yes">
<dimension name="z" fourier_space="yes" />
<moments>dens1 dens0</moments>
<dependencies>wavefunction</dependencies>
<![CDATA[
dens1 = mod2(phi1);
dens0 = mod2(phi0);
]]>
</sampling_group>
</output>
<info>
Script compiled with xpdeint version VERSION_PLACEHOLDER (SUBVERSION_REVISION_PLACEHOLDER)
See http://www.xmds.org for more information.
</info>
<XSIL Name="moment_group_1">
<Param Name="n_independent">2</Param>
<Array Name="variables" Type="Text">
<Dim>4</Dim>
<Stream><Metalink Format="Text" Delimiter=" \n"/>
t z dens1 dens0
</Stream>
</Array>
<Array Name="data" Type="double">
<Dim>51</Dim>
<Dim>256</Dim>
<Dim>4</Dim>
<Stream><Metalink Format="HDF5" Type="Remote" Group="/1"/>
initialisation_order_expected.h5
</Stream>
</Array>
</XSIL>
<XSIL Name="moment_group_2">
<Param Name="n_independent">2</Param>
<Array Name="variables" Type="Text">
<Dim>4</Dim>
<Stream><Metalink Format="Text" Delimiter=" \n"/>
t kz dens1 dens0
</Stream>
</Array>
<Array Name="data" Type="double">
<Dim>51</Dim>
<Dim>256</Dim>
<Dim>4</Dim>
<Stream><Metalink Format="HDF5" Type="Remote" Group="/2"/>
initialisation_order_expected.h5
</Stream>
</Array>
</XSIL>
</simulation>
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