Stretched Exponential Decay of a Quasiparticle in a Quantum Dot
| dc.creator | Silvestrov, P. G. | |
| dc.date | 2001-03-09 | |
| dc.date.accessioned | 2026-07-07T07:47:40Z | |
| dc.date.available | 2026-07-07T07:47:40Z | |
| dc.description | The decay of a quasiparticle in an isolated quantum dot is considered. At relatively small time the probability to find the system in the initial state decays exponentially: $P(t)\sim \exp(-Γt)$, in accordance with the golden rule. However, the contributions to $P(t)$ accounting for the discreteness of final three-particle states, five-particle states, etc. decay much slower being $\sim (Δ_3/Γ)^n \exp(-Γt/(2n+1))$ for $2n+1$ final particles. Here $Δ_3 \ll Γ$ is the level spacing for three-particle states available via the direct decay. These corrections are dominant at large enough time and slow down the decay to become $\ln (P)\sim -\sqrt{t}$ asymptotically. $P(t)$ fluctuates strongly in this regime and the analytical formula for the distribution $W(P)$ is found. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0103222 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0103222 | |
| dc.identifier | Phys. Rev. B 64, 113309 (2001) | |
| dc.identifier | doi:10.1103/PhysRevB.64.113309 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124245 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Stretched Exponential Decay of a Quasiparticle in a Quantum Dot | |
| dc.type | text |