Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential

Details Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential

1997-12-12

arxiv.org/abs/quant-ph/9712028v2

Phys.Rev. A57 (1998) 2851

Physics

Quantum Physics

19 pages, LaTeX, 5 eps-figures, to appear on Phys. Rev. A, one reference corrected

Scientific paper

10.1103/PhysRevA.57.2851

Following the paper by M. Combescure [Ann. Phys. (NY) 204, 113 (1990)], we apply the quantum singular time dependent oscillator model to describe the relative one dimensional motion of two ions in a trap. We argue that the model can be justified for low energy excited states with the quantum numbers $n\ll n_{max}\sim 100$, provided that the dimensionless constant characterizing the strength of the repulsive potential is large enough, $g_*\sim 10^5$. Time dependent Gaussian-like wave packets generalizing odd coherent states of the harmonic oscillator, and excitation number eigenstates are constructed. We show that the relative motion of the ions, in contradistinction to its center of mass counterpart, is extremely sensitive to the time dependence of the binding harmonic potential, since the large value of $g_*$ results in a significant amplification of the transition probabilities between energy eigenstate even for slow time variations of the frequency.

Affiliated with

Also associated with

No associations

Rating

Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential 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 Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-614638