Physics – Quantum Physics
Scientific paper
2010-05-04
Phys. Rev. E 82, 056204 (2010)
Physics
Quantum Physics
8 pages, 6 figures
Scientific paper
10.1103/PhysRevE.82.056204
The operator fidelity is a measure of the information-theoretic distinguishability between perturbed and unperturbed evolutions. The response of this measure to the perturbation may be formulated in terms of the operator fidelity susceptibility (OFS), a quantity which has been used to investigate the parameter spaces of quantum systems in order to discriminate their regular and chaotic regimes. In this work we numerically study the OFS for a pair of non-linearly coupled two-dimensional harmonic oscillators, a model which is equivalent to that of a hydrogen atom in a uniform external magnetic field. We show how the two terms of the OFS, being linked to the main properties that differentiate regular from chaotic behavior, allow for the detection of this model's transition between the two regimes. In addition, we find that the parameter interval where perturbation theory applies is delimited from above by a local minimum of one of the analyzed terms.
Giorda Paolo
Jacobson Tobias N.
Zanardi Paolo
No associations
LandOfFree
The transition to chaos of coupled oscillators: An operator fidelity susceptibility study 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 The transition to chaos of coupled oscillators: An operator fidelity susceptibility study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The transition to chaos of coupled oscillators: An operator fidelity susceptibility study will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-436029