Visualizing the Quantum Interaction Picture in Phase Space

Details Visualizing the Quantum Interaction Picture in Phase Space Visualizing the Quantum Interaction Picture in Phase Space

2012-04-05

arxiv.org/abs/1204.1302v1

Physics

Quantum Physics

Submitted to New Journal of Physics

Scientific paper

We illustrate the correspondence between the quantum Interaction Picture-evolution of the state of a quantum system in Hilbert space and a combination of local and global transformations of its Wigner function in phase space. To this aim, we consider the time-evolution of a quantized harmonic oscillator driven by both a linear and a quadratic (in terms of bosonic creation and annihilation operators) potentials and employ the Magnus series to derive the exact form of the time-evolution operator. In this case, the Interaction Picture corresponds to a local transformation of phase space-reference frame into the one that is co-moving with the Wigner function.

Affiliated with

Also associated with

No associations

Rating

Visualizing the Quantum Interaction Picture in Phase Space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Visualizing the Quantum Interaction Picture in Phase Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Visualizing the Quantum Interaction Picture in Phase Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-213363