Physics – Quantum Physics
Scientific paper
2005-11-25
Physics
Quantum Physics
23 pages, 3 figures
Scientific paper
Non-Markovian quantum state diffusion (NMQSD) is an exact method for calculating the reduced density matrix of an arbitrary subsystem interacting linearly with the radiation field. Applications of the theory have however been few due to the intractable nature of the variational-differential NMQSD evolution equation. Recently, we argued that the variational-differential equation can be rewritten as an integrodifferential equation which can be readily solved numerically. This manuscript provides an explicit derivation of the modified equations. Applications to intermittent fluorescence in $^{24}$Mg$^+$ are discussed in detail. Earlier speculations that quantum jumps occur on all time scales are verified on a picosecond timescale. We show that a plot of the probability density of the signal vs signal strength shows the two characteristic peaks associated with the bright and dark manifolds, and that the ratio of the areas under the peaks is 16 as observed experimentally. We also show that the shape of this distribution is sensitive to bath memory, but has a mathematical form common to both the Markovian and non-Markovian cases.
Ng Ray
Wilkie Joshua
No associations
LandOfFree
Non-Markovian Quantum State Diffusion: Application to Quantum Jumps in $^{24}$Mg$^+$ 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 Non-Markovian Quantum State Diffusion: Application to Quantum Jumps in $^{24}$Mg$^+$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Markovian Quantum State Diffusion: Application to Quantum Jumps in $^{24}$Mg$^+$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-435798