Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-01-28
PhysRevB 2008
Physics
Condensed Matter
Other Condensed Matter
17 pages, 2 figures
Scientific paper
10.1103/PhysRevB.78.184301
We investigate quantum tunneling in a translation invariant chain of particles. The particles interact harmonically with their nearest neighbors, except for one bond, which is anharmonic. It is described by a symmetric double well potential. In the first step, we show how the anharmonic coordinate can be separated from the normal modes. This yields a Lagrangian which has been used to study quantum dissipation. Elimination of the normal modes leads to a nonlocal action of Caldeira-Leggett type. If the anharmonic bond defect is in the bulk, one arrives at Ohmic damping, i.e. there is a transition of a delocalized bond state to a localized one if the elastic constant exceeds a critical value $C_{crit}$. The latter depends on the masses of the bond defect. Superohmic damping occurs if the bond defect is in the site $M$ at a finite distance from one of the chain ends. If the observation time $T$ is smaller than a characteristic time $\tau_M \sim M$, depending on the location M of the defect, the behavior is similar to the bulk situation. However, for $T \gg \tau_M$ tunneling is never suppressed.
Bayani Babak
Fleurov Victor
Schilling Rene
No associations
LandOfFree
Location- and observation time-dependent quantum-tunneling 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 Location- and observation time-dependent quantum-tunneling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Location- and observation time-dependent quantum-tunneling will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-345242