Branching ratio

[Jorge Mellado]

Hello all,

I have been working for a while with pylcp and I have to say that it is an amazing tool and very useful. I have been calculating different trapping forces for molecules but I wanted to include different repumper lasers to other vibrational levels to study how they effect. To do so, I used the example for the three-leve system to try to understand how to add more states to the hamiltonian and the corresponding lasers. I managed to do it, and seems to be working. However, I was wondering if there is an easy way to include the branching ratios for the different states.

Best,

Jorge.

[Eckel, Stephen P. (Fed)]

Hi Jorge,

 

The easiest way to incorporate the branching ratios is to use relative decay rates between various manifolds.  You can define this relative decay rate from one manifold to another using the optional keyword argument `gamma` when adding a d_q blocks to a Hamiltonian.  For example, taking the Hamiltonian from the three-level system example,

 

hamiltonian = pylcp.hamiltonian()

hamiltonian.add_H_0_block('g', 0.*H0)

hamiltonian.add_H_0_block('r', delta*H0)

hamiltonian.add_H_0_block('e', -Delta*H0)

hamiltonian.add_d_q_block('g','e', d_q, gamma=1)

hamiltonian.add_d_q_block('r','e', d_q, gamma=0.1)

 

makes the decay rate from r->e 1/10 of that from g->e.  It does this by adjusting the relative oscillator strengths.  Note this feature has not been extensively tested, but I do believe it to work.

 

Hope that helps!

 

-Steve

 

-- 

Dr. Stephen Eckel
Physicist
Sensor Sciences Division
Thermodynamic Metrology Group
100 Bureau Drive, Stop 8364
Gaithersburg, MD 20899-8364
(301) 975-8571

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