Superstatistics - a quantum generalization

TL;DR

This paper introduces a quantum generalization of superstatistics using positive operator valued measures, enabling better modeling of quantum fluctuations in nanosystems like superconducting devices at low temperatures.

Contribution

It presents a novel quantum extension of superstatistics based on transformation properties of the density matrix, addressing quantum fluctuations in nanoscale systems.

Findings

Reveals the origin of fluctuating factors in superstatistics as transformation operator choices.

Addresses quantum fluctuations in nanosystems such as superconducting devices.

Provides a framework for quantum superstatistics applicable at low temperatures.

Abstract

A quantum mechanical generalization of superstatistics is presented here based on the positive operator valued measure transformation property of the system density matrix. This procedure reveals that the origin of the fluctuating factors occurring in the derivation of the superstatistics lies in the choice of the transformation operators governing the dynamics of fluctuations. This generalization addresses situations such as nanosystems based on quantum devices (e.g., superconducting devices, single electron transistors, etc,) operating at low temperatures where cognizance of quantum fluctuations is essential.