6533b85ffe1ef96bd12c1229
RESEARCH PRODUCT
Laser driven structured quantum rings
Pietro Paolo CorsoBiagio FrusteriEmilio FiordilinoGiuseppe CastigliaUmberto De Giovanninisubject
PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciLinear polarizationScatteringCondensed Matter PhysicElectronCondensed Matter PhysicsLaserAtomic and Molecular Physics and OpticsCondensed Matter Physics; Atomic and Molecular Physics and Opticslaw.inventionsymbols.namesakeClassical mechanicsMathieu functionlawExtreme ultravioletQuantum mechanicssymbolsHamiltonian (quantum mechanics)Quantumhigh harmonic generation laser driven ring analytical wave function Schroedinger equation Mathieu equationdescription
In this work we study harmonic emission from structured quantum rings (SQRs). In SQRs, electrons trapped in two-dimensional structures are further confined by an external potential composed of N scattering centers arranged on a circle. We build a suitable one-dimensional model Hamiltonian describing this class of systems and analytically solve the associated Schödinger equation. We find that the solution can be expressed in terms of Mathieu functions and focus on the specific case of N = 6. By exactly solving the time-dependent Schödinger equation, we then show how the harmonic response to linearly polarized lasers strongly depends on the ring physical parameters. The results illustrate how the additional degrees of freedom introduced by these parameters provide important handles to control the emitted spectrum that in some cases extends into the XUV region.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-17 | Journal of Physics B: Atomic, Molecular and Optical Physics |