I Laser and excited state linewidths in Rabi oscillations

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To simulate the behavior of a two-level system driven by a laser, users are exploring numerical methods, particularly using the Qutip framework. The focus is on calculating transition probabilities versus laser frequency while considering both laser and atomic linewidths. There is interest in understanding how to incorporate laser linewidth into the Hamiltonian or density matrix approach, even if analytical solutions are not feasible. Users are seeking guidance on the physics involved and the best practices for implementation. The discussion emphasizes the importance of numerical simulation in quantum optics.
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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