Visualizing the quantum interaction picture in phase space

Mehmani, Bahar; Aiello, Andrea

doi:10.1088/0143-0807/33/5/1367

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Visualizing the quantum interaction picture in phase space

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Aiello, Andrea
Optical Quantum Information Theory, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Mehmani, B., & Aiello, A. (2012). Visualizing the quantum interaction picture in phase space. EUROPEAN JOURNAL OF PHYSICS, 33(5), 1367-1381. doi:10.1088/0143-0807/33/5/1367.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-688D-7

Abstract

We present a graphical example of the interaction picture-time evolution. Our aim is to help students understand in a didactic manner the simplicity that this picture provides. Visualizing the interaction picture unveils its advantages, which are hidden behind the involved mathematics. Specifically, we show that the time evolution of a driven harmonic oscillator in the interaction picture corresponds to a local transformation of a phase space-reference frame into the one that is co-rotating with the Wigner function.