Two level system in a thermal noise electric field

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SUMMARY

The discussion centers on simulating a two-level system with a dipole moment under the influence of a sinusoidal electric field and additional thermal noise from a resonant RLC circuit. The user seeks to model the thermal noise as an extra off-diagonal term in the Hamiltonian, considering the system's thermal equilibrium with the circuit. The conversation highlights the complexities of incorporating thermal noise into quantum simulations, particularly in the context of a Penning trap and image charge effects. The need for a literature review on this niche topic is emphasized for further insights.

PREREQUISITES
  • Understanding of two-level quantum systems and dipole moments
  • Familiarity with Hamiltonian mechanics in quantum physics
  • Knowledge of thermal noise and its effects on quantum systems
  • Experience with numerical simulation techniques, particularly Schrödinger Equation (SE) methods
NEXT STEPS
  • Research methods for modeling thermal noise in quantum systems
  • Explore the implications of image charges in Penning traps
  • Study the effects of coupling between two-level systems and resonant circuits
  • Investigate advanced numerical techniques for simulating quantum dynamics
USEFUL FOR

Quantum physicists, researchers in thermal noise effects, and anyone involved in simulating two-level systems in electric fields will benefit from this discussion.

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:
 

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