Escape behaviour of a quantum particle in a loop coupled to a lead

Abstract

We consider a one-dimensional loop of circumference $L$ crossed by a constant magnetic flux $\Phi$ and connected to an infinite lead with coupling parameter $\epsilon$. Assuming that the initial state ${\psi }_0$ of the particle is confined inside the loop and evolves freely, we analyse the time evolution of the nonescape probability $P({\psi }_0,L,\Phi ,\epsilon ,t)$, which is the probability that the particle will still be inside the loop at some later time $t$.

33 pages, 11 figures

References in corpus (5)

• Quantum wires with magnetic fluxes
• Survival probability time distribution in dielectric cavities
• Current magnification effect in mesoscopic systems at equilibrium
• Time-resolved dynamics of electron wave packets in chaotic and regular quantum billiards with leads
• Free initial wave packets and the long-time behavior of the survival and nonescape probabilities