Modulation theory of quantum tunneling into a Calogero-Sutherland fluid

TL;DR

This paper develops a modulation theory for quantum tunneling into a Calogero-Sutherland fluid, providing a framework for understanding electron dynamics in quantum Hall edge states.

Contribution

It introduces a novel modulation approach to quantum hydrodynamics in the Calogero-Sutherland model, linking it to quantum tunneling phenomena.

Findings

Derived effective action and modulation equations for periodic excitations.

Applied the theory to electron tunneling into FQHE edge states.

Provided insights into quantum hydrodynamics of interacting electrons.

Abstract

Quantum hydrodynamics of interacting electrons with a parabolic single particle spectrum is studied using the Calogero-Sutherland model. The effective action and modulation equations, describing evolution of periodic excitations in the fluid, are derived. Applications to the problem of a single electron tunneling into the FQHE edge state are discussed.