Presence of asymmetric noise in multi-terminal chaotic cavities

TL;DR

This paper investigates how asymmetric noise arises in multi-terminal chaotic quantum cavities, analyzing the effects of temperature, potential difference, and cavity topology on noise behavior in different regimes.

Contribution

It introduces a semiclassical approach to study noise asymmetries in multi-terminal chaotic cavities, considering both noninteracting and interacting regimes with finite frequency and temperature.

Findings

Asymmetries in noise are controlled by cavity topology and number of open channels.

General expressions for noise are derived in terms of experimentally controllable parameters.

Noise behavior varies across different temperature and potential difference regimes.

Abstract

This work deals with chaotic quantum dot connected to two and four leads. We use standard diagrammatic procedure to integrate on the unitary group, to study the main term in the semiclassical expansion of the noise in the three pure Wigner-Dyson ensembles at finite frequency and temperature, in the noninteracting and interacting regimes. We investigate several limits, related to the temperature and the potential difference in the leads, in the presence of a capacitive environment. At the thermal crossover regime, we obtain general expressions described in terms of parameters that can be controlled experimentally. As an interesting result, we show the appearance of asymmetries in the noise, controlled by the topology of the cavity and the number of open channels in the corresponding terminals.