Quantum chaotic scattering in time-dependent external fields: random matrix approach

TL;DR

This paper reviews how random matrix theory models electron transport in quantum dots under time-dependent fields, analyzing photovoltaic current, noise, and conductance fluctuations.

Contribution

It introduces a random matrix approach to describe time-dependent quantum dot transport, focusing on photovoltaic effects and conductance modifications.

Findings

Time-dependent perturbations induce photovoltaic current at zero bias.

The photovoltaic current and noise depend on perturbation frequency and strength.

Time-dependent fields affect weak localization and conductance fluctuations.

Abstract

We review the random matrix description of electron transport through open quantum dots, subject to time-dependent perturbations. All characteristics of the current linear in the bias can be expressed in terms of the scattering matrix, calculated for a time-dependent Hamiltonian. Assuming that the Hamiltonian belongs to a Gaussian ensemble of random matrices, we investigate various statistical properties of the direct current in the ensemble. Particularly, even at zero bias the time-dependent perturbation induces current, called photovoltaic current. We discuss dependence of the photovoltaic current and its noise on the frequency and the strength of the perturbation. We also describe the effect of time-dependent perturbation on the weak localization correction to the conductance and on conductance fluctuations.