Physics – Quantum Physics
Scientific paper
2009-06-11
Physical Review A 80, 022328 (2009)
Physics
Quantum Physics
9 pages, 7 figures. Published version
Scientific paper
10.1103/PhysRevA.80.022328
In the framework of nuclear magnetic resonance, we consider the general problem of the coherent control of a spin coupled to a bath by means of composite or continuous pulses of duration $\tau_\mathrm{p}$. We show explicity that it is possible to design the pulse in order to achieve a decoupling of the spin from the bath up to the third order in $\tau_\mathrm{p}$. The evolution of the system is separated in the evolution of the spin under the action of the pulse and of the bath times correction terms. We derive the correction terms for a general time dependent axis of rotation and for a general coupling between the spin and the environment. The resulting corrections can be made vanish by an appropriate design of the pulse. For $\pi$ and $\pi/2$ pulses, we demonstrate explicitly that pulses exist which annihilate the first and the second order corrections even if the bath is fully quantum mechanical, i.e., it displays internal dynamics. Such pulses will also be useful for quantum information processing.
Karbach Peter
Pasini Stefano
Raas Carsten
Uhrig Götz S.
No associations
LandOfFree
Optimized pulses for the perturbative decoupling of spin and decoherence bath 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 Optimized pulses for the perturbative decoupling of spin and decoherence bath, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimized pulses for the perturbative decoupling of spin and decoherence bath will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-516532