A Two level system in a thermal noise electric field

kelly0303
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Hello! I have a 2 level system with a dipole moment d. I want to simulate numerically the evolution of the system under an external sinusoidal electric field (far off resonant). This is straightforward using SE. However I also have on top of that another electric field, created by a coupling of the 2 level system (ion) to a resonant circuit (not necessarily relevant but in this case I have an ion inside a Penning trap inducing image charges to a resonant RLC circuit). I'm interested in the case when the ion is in thermal equilibrium with the rlc circuit. I assume that the noise from the circuit will induce further population transfer between the 2 levels of the system. However I'm not sure how to model this thermal noise-like electric field, as an extra off diagonal term in my Hamiltonian. Can someone advice me about it? Thank you!
 
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This is niche research stuff. Time to do a literature review :smile:
 
Hi. I have got question as in title. How can idea of instantaneous dipole moment for atoms like, for example hydrogen be consistent with idea of orbitals? At my level of knowledge London dispersion forces are derived taking into account Bohr model of atom. But we know today that this model is not correct. If it would be correct I understand that at each time electron is at some point at radius at some angle and there is dipole moment at this time from nucleus to electron at orbit. But how...

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