Exact dynamical response of an N-electron quantum dot subject to a time-dependent potential

TL;DR

This paper provides an exact analytical calculation of how an N-electron quantum dot responds dynamically to time-varying potentials, revealing conditions for electron attraction and droplet stability.

Contribution

It introduces an exact analytical method to determine the dynamical response of interacting electrons in a quantum dot with arbitrary time-dependent confinement.

Findings

Sinusoidal perturbations can induce effective attraction between electrons.

Electrons can form a stable droplet without a static confinement.

The response depends on specific frequency ranges of the perturbation.

Abstract

We calculate analytically the exact dynamical response of a droplet of N interacting electrons in a quantum dot with an arbitrarily time-dependent parabolic confinement potential \omega(t) and a perpendicular magnetic field. We find that, for certain frequency ranges, a sinusoidal perturbation acts like an attractive effective interaction between electrons. In the absence of a time-averaged confinement potential, the N electrons can bind together to form a stable, free-standing droplet.