Why do we use the rotating wave picture to make approxiamations in open quantum systems? I understand why we use the Heisenberg picture when switching to the interaction picture. But why rotating picture?

  • 1
    $\begingroup$ I am familiar with the rotating wave approximation, but haven't heard of the rotating wave picture. Could you explain the difference, if there is any? $\endgroup$ – Wolpertinger Aug 22 '18 at 14:45

Chris Fleming and his colleges have a nice article about this matter.

See: https://arxiv.org/abs/1003.1749

As a very short answer I should say that We have two distinct rotating-waveapproximations:

1) The pre-trace RWA is an approximation performed on the interaction Hamiltonian before the en-vironment is traced out which yields a somewhat modified Hamiltonian dynamics from which the reduced dynamics can be derived.

2)The post-trace RWA is performed on the master equation for the reduced density matrix after the environment has already been traced out.

You can also take a look at https://arxiv.org/abs/1401.7350.pdf . They studied the dynamics of a two-level quantum system interact ing with a single frequency electromagnetic field and a stochastic magnetic field, with and without making the rotating wave approximation!

| cite | improve this answer | |
  • $\begingroup$ Thank you so much! These papers are very insightful and useful! $\endgroup$ – DeepLearner Nov 28 '18 at 8:44
  • $\begingroup$ I am very happy that you liked them. Let's thank Fleming and Band for their contribution toward the field! $\endgroup$ – Looser Nov 28 '18 at 10:09

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.