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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<command_line>mpirun -n 1 ./eigenvalues</command_line>
<xsil_file name="eigenvalues_break.xsil" expected="../fast/eigenvalues_break_expected.xsil" absolute_tolerance="1e-6" relative_tolerance="1e-5" />
<xsil_file name="eigenvalues.xsil" expected="../fast/eigenvalues_expected.xsil" absolute_tolerance="1e-6" relative_tolerance="1e-5" />
</testing>
<name>eigenvalues</name>
<author>Graham Dennis</author>
<description>
1D TW model of the uniform Peaks system.
</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;
double Delta;
const double hbar_M = hbar/M;
const double Omega = 2.0*M_PI*3e3;
double mu0 = hbar*1.7786e3*2.0*M_PI;
double nu = 6.649299328e3;//4.4046e4; // Hertz
]]>
</globals>
<validation kind="run-time" />
</features>
<driver name="distributed-mpi" />
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="kz" lattice="32" domain="(0, 3e6)" transform="none"/>
<!-- <dimension name="kz" lattice="1024" domain="(1.3220e6, 1.3221e6)" /> -->
<dimension name="p" domain="(1, 4)" type="integer" aliases="q" />
</transverse_dimensions>
</geometry>
<vector name="wavefunction" dimensions="" type="complex">
<components>
phi1 phi0
</components>
<initialisation>
<![CDATA[
phi1 = sqrt(mu/Uint);
phi0 = 0.0;
]]>
</initialisation>
</vector>
<vector name="matrixterms" dimensions="kz p q" initial_basis="kz" type="complex">
<components>matrix</components>
<initialisation>
<![CDATA[
if (p == q) {
matrix = 1.0;
} else {
matrix = 0.0;
}
]]>
</initialisation>
</vector>
<computed_vector name="hamiltonian_matrix" dimensions="kz p q" type="complex">
<components>h_matrix</components>
<evaluation>
<dependencies>wavefunction</dependencies>
<![CDATA[
const double kineticEnergy = 0.5*hbar*hbar*kz*kz/M;
if (p == 1 && q == 1) h_matrix = Uint*mod2(phi1)+kineticEnergy-mu0;
if (p == 1 && q == 2) h_matrix = Uint*phi1*phi1;
if (p == 1 && q == 3) h_matrix = Uint*phi1*conj(phi0)+hbar*Omega;
if (p == 1 && q == 4) h_matrix = Uint*phi1*phi0;
if (p == 2 && q == 1) h_matrix = -Uint*conj(phi1*phi1);
if (p == 2 && q == 2) h_matrix = -Uint*mod2(phi1)-kineticEnergy+mu0;
if (p == 2 && q == 3) h_matrix = -Uint*conj(phi1 * phi0);
if (p == 2 && q == 4) h_matrix = -Uint*conj(phi1)*phi0 - hbar*Omega;
if (p == 3 && q == 1) h_matrix = Uint*conj(phi1)*phi0 + hbar*Omega;
if (p == 3 && q == 2) h_matrix = Uint*phi0*phi1;
if (p == 3 && q == 3) h_matrix = Uint*(2.0*kappa-1.0)*mod2(phi0)-mu0+kineticEnergy;
if (p == 3 && q == 4) h_matrix = Uint*kappa*phi0*phi0;
if (p == 4 && q == 1) h_matrix = -Uint*conj(phi0*phi1);
if (p == 4 && q == 2) h_matrix = -Uint*phi1*conj(phi0)-hbar*Omega;
if (p == 4 && q == 3) h_matrix = -Uint*kappa*conj(phi0*phi0);
if (p == 4 && q == 4) h_matrix = -Uint*(2.0*kappa-1.0)*mod2(phi0)-kineticEnergy+mu0;
h_matrix *= -i/hbar;
]]>
</evaluation>
</computed_vector>
<sequence>
<integrate algorithm="ARK89" interval="1.0/nu" tolerance="1e-8">
<samples>20 20</samples>
<operators dimensions="">
<integration_vectors>wavefunction</integration_vectors>
<![CDATA[
dphi1_dt = - i/hbar*( - mu0)*phi1 -i*Omega*phi0;
dphi0_dt = - i/hbar*( - Uint*(1.0-kappa)*mod2(phi0) - mu0)*phi0 -i*Omega*phi1;
]]>
</operators>
<operators dimensions="kz p q">
<integration_vectors>matrixterms</integration_vectors>
<dependencies>wavefunction hamiltonian_matrix</dependencies>
<![CDATA[
dmatrix_dt = 0.0;
for (long pp = 1; pp <= 4; pp++) {
dmatrix_dt += h_matrix(q=> pp)*matrix(p=> pp);
}
]]>
</operators>
</integrate>
<breakpoint filename="eigenvalues_break.xsil" format="hdf5">
<dependencies>matrixterms</dependencies>
</breakpoint>
</sequence>
<output format="hdf5">
<sampling_group initial_sample="yes">
<moments>phi1R phi1I phi0R phi0I</moments>
<dependencies>wavefunction</dependencies>
<![CDATA[
_SAMPLE_COMPLEX(phi1); _SAMPLE_COMPLEX(phi0);
]]>
</sampling_group>
<sampling_group initial_sample="yes" basis="kz p q">
<moments>matrixR matrixI</moments>
<dependencies>matrixterms</dependencies>
<![CDATA[
_SAMPLE_COMPLEX(matrix);
]]>
</sampling_group>
</output>
</simulation>
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