Laser and excited state linewidths in Rabi oscillations

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    Oscillation Simulation
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SUMMARY

This discussion focuses on simulating the behavior of a two-level quantum system driven by a laser, specifically analyzing transition probability versus laser frequency while accounting for both laser and atomic linewidths. The recommended tool for this simulation is Qutip, which allows for numerical solutions of the Jaynes-Cummings Hamiltonian. Participants express interest in understanding how to incorporate laser linewidth into the Hamiltonian and density matrix framework, despite challenges in achieving an analytical solution.

PREREQUISITES
  • Understanding of two-level quantum systems
  • Familiarity with the Jaynes-Cummings Hamiltonian
  • Knowledge of quantum optics, specifically laser linewidth effects
  • Experience with Qutip for numerical simulations
NEXT STEPS
  • Research how to implement the Jaynes-Cummings Hamiltonian in Qutip
  • Learn about incorporating linewidth effects into quantum simulations
  • Explore numerical methods for solving density matrices in quantum mechanics
  • Investigate transition probability calculations in driven quantum systems
USEFUL FOR

Quantum physicists, researchers in quantum optics, and anyone interested in simulating laser interactions with atomic systems will benefit from this discussion.

Malamala
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Hello! I want to simulate (numerically if analytically is not possible) the behavior of a 2 level system, when driven by a laser (basically transition probability vs laser frequency for fixed pulsed time) accounting for the laser and atomic linewidth (in my case I can assume they are comparable). What is the best way to proceed? Thank you!
 
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Jaynes-Cummings Hamiltonian solved numerically using Qutip
 
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f95toli said:
Jaynes-Cummings Hamiltonian solved numerically using Qutip
Thank you for this! I never used Qutip before, but it looks great! Do they give details about the physics behind it, too? In particular, I would like to know how to include the laser linewidth in the Hamiltonian/density matrix approach, even if I am not able to solve it analytically.
 

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