Crossed Electric and Magnetic Fields

Here we analyze a J=1 state subject to crossed electric and magnetic fields. The effects of Stark mixing on the sublevels of a single state can be accounted for to second order in the electric field by writing an effective Hamiltonian in terms of the polarizability of the atomic state.
This loads the package.
In[1]:=
Click for copyable input
Define the atomic system. The state is assumed to have a tensor polarizability but no scalar polarizability.
In[2]:=
Click for copyable input
Out[2]=
The Hamiltonian for the system subject to the magnetic and electric fields. We must explicitly specify the "Polarizability" interaction, because it is not included by default.
In[3]:=
Click for copyable input
Out[3]//MatrixForm=
The eigenenergies and eigenstates of the system in the presence of the fields.
In[4]:=
Click for copyable input
Out[4]=
An energy plot as a function of electric field for fixed magnetic field.
In[5]:=
Click for copyable input
Out[5]=
An energy plot as a function of magnetic field for fixed electric field.
In[6]:=
Click for copyable input
Out[6]=
A three-dimensional energy plot as a function of both the electric and magnetic fields.
In[7]:=
Click for copyable input
Out[7]=