highdim.xmds

<?xmds version="1.0"?>
<!--Stochastic Superchemistry simulation-->

<!-- $Id: highdim_body.part 999 2004-08-03 05:42:47Z cochrane $ -->

<!--  Copyright (C) 2000-2004                                           -->
<!--                                                                    -->
<!--  Code contributed by Greg Collecutt, Joseph Hope and Paul Cochrane -->
<!--                                                                    -->
<!--  This file is part of xmds.                                        -->
<!--                                                                    -->
<!--  This program is free software; you can redistribute it and/or     -->
<!--  modify it under the terms of the GNU General Public License       -->
<!--  as published by the Free Software Foundation; either version 2    -->
<!--  of the License, or (at your option) any later version.            -->
<!--                                                                    -->
<!--  This program is distributed in the hope that it will be useful,   -->
<!--  but WITHOUT ANY WARRANTY; without even the implied warranty of    -->
<!--  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the     -->
<!--  GNU General Public License for more details.                      -->
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<!--  You should have received a copy of the GNU General Public License -->
<!--  along with this program; if not, write to the Free Software       -->
<!--  Foundation, Inc., 59 Temple Place - Suite 330, Boston,            -->
<!--  MA  02111-1307, USA.                                              -->

<simulation>

  <name>highdim</name>

  <author>Unknown Author</author>
  <description>
    Stochastic superchemistry simulation
  </description>

  <!-- Global system parameters and functionality -->
  <prop_dim>t</prop_dim>
  <error_check>yes</error_check>
  <use_mpi>yes</use_mpi> 
  
  <!-- Global variables for the simulation -->
  <globals>
  <![CDATA[
    const double noise = 0.0;
    const double hbar = 1.05500000000e-34;
    const double M = 1.409539200000000e-25;
    const double omegax = 0.58976353090742;
    const double omegay = 0.58976353090742;
    const double omegaz = 0.58976353090742/30;
    const double U11 = 2.974797272874263e-51;
    const double U13 = -1.417820412490823e-50;
    const double U33 = 2.974797272874263e-51;
    const double inum = 1.0e6;
    const double Uoh11 = U11/hbar;
    const double Uoh13 = U13/hbar;
    const double Uoh33 = U33/hbar;
    const double mu = pow(15*inum*U11*omegax*omegay*omegaz/M_PI/4,0.4)*pow(M,0.6)/2;
    const double delta = 1.0e9;
    const double F = 2.0e-2;
    const double g = sqrt(Uoh11*2.0/delta);
    const double loss11=1.0e-2;
    const double loss12=1.6e-22;
    const double loss31=1.0e-2;
    const double loss32=1.6e-22;
    const double loss132=8.0e-17;
    const double chi = F*g*delta;
    const double biggamma = g*g*delta/2;
    const double gam13 = Uoh13/chi;
    const double gam33 = Uoh33/chi;
    const double gameff = (Uoh11-biggamma)/chi;
    const double gamloss11=loss11/2/chi;
    const double gamloss12=loss12/chi;
    const double gamloss31=loss31/2/chi;
    const double gamloss32=loss32/chi;
    const double gamloss132=loss132/chi;
    const double cnoise =  noise/sqrt(2.0); 
  ]]>
  </globals>  

  <!-- Field to be integrated over -->
  <field>
    <dimensions>x y z</dimensions>
    <lattice>16 16 16</lattice>
    <domains>(-1.2e-4,1.2e-4) (-1.2e-4,1.2e-4) (-8.0e-3,8.0e-3)</domains>
    <samples>1 1 1</samples>
    
    <vector>
      <name> vc1 </name>
      <type>double</type>
      <components>vcore V1r V3r gV1r gV3r</components>
      <fourier_space>no no no</fourier_space>
      <![CDATA[
        vcore = (omegax*omegax*x*x+omegay*omegay*y*y+omegaz*omegaz*z*z);
        V1r = 0.5*M*vcore/hbar/chi -(gameff+gam13/2)/2/(dx*dy*dz);
        V3r = M*vcore/hbar/chi -(gam13/2+gam33)/2/(dx*dy*dz);
        gV1r = 0.5*M*vcore/hbar/chi;
        gV3r = M*vcore/hbar/chi;
      ]]>
    </vector>
    
    <vector>
      <name> main </name>
      <type>complex</type>
      <components>phi1a phi1b phi3a phi3b gphi1a gphi3a</components>
      <fourier_space>no no no</fourier_space>
      <vectors> vc1 </vectors>
      <![CDATA[
        const double realfn = (mu-0.5*M*vcore)/Uoh11/hbar;
        
        phi1a = realfn>0. ? complex(sqrt(realfn),0) : complex(0,0);
        phi1b = realfn>0. ? complex(sqrt(realfn),0) : complex(0,0);
        phi3a = complex(0,0);
        phi3b = complex(0,0);
        gphi1a = realfn>0. ? complex(sqrt(realfn),0) : complex(0,0);
        gphi3a = complex(0,0);
      ]]>
    </vector>
  </field>

  <!-- The sequence of integrations to perform -->
  <sequence>
    <integrate>
      <algorithm>RK4IP</algorithm>
      <interval>1e-7</interval>
      <lattice>1000</lattice>
      <samples>10 10 1</samples>
      <k_operators>
        <constant>yes</constant>
        <operator_names> L2p L2n L4p L4n </operator_names>
        <![CDATA[
          L2p = complex(0,-hbar/M/2/chi*(kx*kx+ky*ky+kz*kz));
          L2n = complex(0, hbar/M/2/chi*(kx*kx+ky*ky+kz*kz));
          L4p = complex(0,-hbar/M/4/chi*(kx*kx+ky*ky+kz*kz));
          L4n = complex(0, hbar/M/4/chi*(kx*kx+ky*ky+kz*kz));
        ]]>
      </k_operators>
      <vectors> main vc1 </vectors>
      <![CDATA[
        const complex dens1 = phi1b*phi1a;
        const complex dens3 = phi3b*phi3a;
        
        const double gdens1 = (gphi1a.re*gphi1a.re+gphi1a.im*gphi1a.im);
        const double gdens3 = (gphi3a.re*gphi3a.re+gphi3a.im*gphi3a.im);

        dphi1a_dt = L2p[phi1a] + (-i*V1r-gamloss11+(gamloss132/2+gamloss12)/2/(dx*dy*dz))*phi1a 
                               + (-i*gameff-gamloss12)*dens1*phi1a 
                               - (i*gam13+gamloss132)*dens3*phi1a -i*phi1b*phi3a;
                               
        dphi1b_dt = L2n[phi1b] + (i*V1r-gamloss11+(gamloss132/2+gamloss12)/2/(dx*dy*dz))*phi1b 
                               + (i*gameff-gamloss12)*dens1*phi1b 
                               + (i*gam13-gamloss132)*dens3*phi1b +i*phi1a*phi3b;
                             
        dphi3a_dt = L4p[phi3a] + (-i*V3r-gamloss31+(gamloss132/2+gamloss32)/2/(dx*dy*dz))*phi3a 
                               + (-i*gam33-gamloss32)*dens3*phi3a 
                               - i*0.5*phi1a*phi1a -(i*gam13+gamloss132)*dens1*phi3a;

        dphi3b_dt = L4n[phi3b] + (i*V3r-gamloss31+(gamloss132/2+gamloss32)/2/(dx*dy*dz))*phi3b 
                               + (i*gam33-gamloss32)*dens3*phi3b 
                               + i*0.5*phi1b*phi1b +(i*gam13-gamloss132)*dens1*phi3b;
                               
        dgphi1a_dt = L2p[gphi1a] + (-i*gV1r-gamloss11)*gphi1a +(-i*gameff-gamloss12)*gdens1*gphi1a 
                                 - (i*gam13+gamloss132)*gdens3*gphi1a-i*conj(gphi1a)*gphi3a;
                                 
        dgphi3a_dt = L4p[gphi3a] + (-i*gV3r-gamloss31)*gphi3a +(-i*gam33-gamloss32)*gdens3*gphi3a 
                                 - i*0.5*gphi1a*gphi1a +(i*gam13-gamloss132)*gdens1*gphi3a;
      ]]>
    </integrate>
  </sequence>

  <!-- The output to generate -->
  <output format="ascii">
    <group>
      <sampling>
        <fourier_space>   no    no no</fourier_space>
        <lattice>         16    1  1</lattice>
        <moments>atoms molecules gatoms gmolecules</moments>
        <![CDATA[
          atoms=phi1b*phi1a;
          molecules=phi3b*phi3a;
          gatoms=conj(gphi1a)*gphi1a;
          gmolecules=conj(gphi3a)*gphi3a;
        ]]>
      </sampling>
    </group>
    <group>
      <sampling>
        <fourier_space>    no   no  no</fourier_space>
        <lattice>           0    0   0</lattice>
        <moments>rn_1 rn_2 grn_1 grn_2 excitedn</moments>
        <![CDATA[
          rn_1 = phi1b*phi1a;
          rn_2 = phi3b*phi3a;
          grn_1 = conj(gphi1a)*gphi1a;
          grn_2 = conj(gphi3a)*gphi3a;
          excitedn = g*g/4*phi1b*phi1b*phi1a*phi1a+F*F*phi3b*phi3a
                     - F*g/2*(phi1b*phi1b*phi3a+phi1a*phi1a*phi3b);
        ]]>
      </sampling>
    </group>
    <group>
      <sampling>
        <fourier_space>   no no no</fourier_space>
        <lattice>         16    16  16</lattice>
        <moments>atomsr moleculesr atomsi moleculesi</moments>
        <![CDATA[
          atomsr=phi1a;
          moleculesr=phi3a;
          atomsi=-i*gphi1a;
          moleculesi=-i*gphi3a;
        ]]>
      </sampling>
    </group>
  </output>

</simulation>