Effect of environmental spins on Landau-Zener transitions

Details Effect of environmental spins on Landau-Zener transitions Effect of environmental spins on Landau-Zener transitions

2008-06-17

arxiv.org/abs/0806.2830v1

Phys. Rev. B 78, 094405-(11) (2008)

Physics

Condensed Matter

Statistical Mechanics

12 PR pages, 8 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.78.094405

Landau-Zener (LZ) transitions of a two-level system (e. g., electronic spin in molecular magnets) coupled to one or many environmental spins (e. g., nuclear spins) are studied. For rather general interactions the LZ problem is reduced to that of a Landau-Zener grid. It is shown analytically that environmental spins initially in their ground state do not influence the staying probability P. This changes if they are prepared in a statistical ensemble. For a more specific model with environmental spins in a transverse field, LZ transitions are studied in the case of well-separated resonances in the LZ grid. The full evolution of the system is described as a succession of elemenary transitions at avoided crossings and free evolution between them. If the environmental spins are strongly coupled to the central spin, their effect on P is weak. In other cases LZ transitions are strongly suppressed and P is decreasing very slowly with the sweep-rate parameter epsilon ~ 1/v, v being the energy sweep rate.

Affiliated with

Also associated with

No associations

Rating

Effect of environmental spins on Landau-Zener transitions 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 Effect of environmental spins on Landau-Zener transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effect of environmental spins on Landau-Zener transitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-409201