Quantum Multipole Noise and Generalized Quantum Stochastic Equations

TL;DR

This paper introduces quantum multipole noise, especially dipole noise, as a correction to quantum white noise in stochastic equations, expanding the understanding of quantum stochastic limits.

Contribution

It develops generalized quantum stochastic equations incorporating quantum dipole noise, providing a new framework for quantum stochastic corrections.

Findings

Quantum dipole noise acts in a Fock space with indefinite metric.

Generalized quantum stochastic equations include corrections from quantum dipole noise.

Quantum multipole noise describes higher-order corrections in stochastic limits.

Abstract

A notion of quantum multipole (in particular, dipole) noise is considered. Quantum dipole noise is an analogue of quantum white noise but it acts in a Fock space with indefinite metric. Quantum {\it white} noise describes the leading term in the stochastic limit approximation to quantum dynamics while quantum {\it multipole} noise describes the corrections to the leading term. We obtain and study the generalized quantum stochastic equations describing corrections to the stochastic limit which include quantum dipole noise.