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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?

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    $\begingroup$ 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
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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!

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  • $\begingroup$ 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

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