Location- and observation time-dependent quantum-tunneling
| dc.creator | Fleurov, V. | |
| dc.creator | Schilling, R. | |
| dc.creator | Bayani, B. | |
| dc.date | 2009-01-28 | |
| dc.date.accessioned | 2026-07-07T12:35:15Z | |
| dc.date.available | 2026-07-07T12:35:15Z | |
| dc.description | 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 $τ_M \sim M$, depending on the location M of the defect, the behavior is similar to the bulk situation. However, for $T \gg τ_M$ tunneling is never suppressed. | |
| dc.description | 17 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0901.4518 | |
| dc.identifier | http://arxiv.org/abs/0901.4518 | |
| dc.identifier | PhysRevB 2008 | |
| dc.identifier | doi:10.1103/PhysRevB.78.184301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217708 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Location- and observation time-dependent quantum-tunneling | |
| dc.type | text |