6533b7d6fe1ef96bd12666e3
RESEARCH PRODUCT
Scale-free relaxation of a wave packet in a quantum well with power-law tails
Tobias PaulSandro WimbergerRosario N. MantegnaAndreas BuchleitnerSalvatore MiccichèFabrizio LilloFabrizio LilloFabrizio Lillosubject
PhysicsQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)Thermodynamic equilibriumWave packetFOS: Physical sciencesGeneral Physics and AstronomyObservableQuantum mechanicPower lawSettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)03.65.Ge Solutions of wave equations: bound states 02.60.Cb Numerical simulationtunnelingpower law distributionRelaxation (physics)Statistical physicssolution of equations 03.65.Xp Tunneling traversal time quantum Zeno dynamics 02.10.Ud Linear algebra03.65.Fd Algebraic methodsQuantum Physics (quant-ph)QuantumCondensed Matter - Statistical MechanicsEigenvalues and eigenvectorsQuantum welldescription
We propose a setup for which a power-law decay is predicted to be observable for generic and realistic conditions. The system we study is very simple: A quantum wave packet initially prepared in a potential well with (i) tails asymptotically decaying like ~ x^{-2} and (ii) an eigenvalues spectrum that shows a continuous part attached to the ground or equilibrium state. We analytically derive the asymptotic decay law from the spectral properties for generic, confined initial states. Our findings are supported by realistic numerical simulations for state-of-the-art expansion experiments with cold atoms.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |