Strong squeezing limit in quantum stochastic models

TL;DR

This paper investigates quantum stochastic differential equations driven by strongly squeezed vacuum noise, demonstrating they can be approximated by equations driven by a single commuting noise with an added Hamiltonian term.

Contribution

It introduces a limit approximation for QSDEs under strong squeezing, simplifying the noise to a single commuting process with a new Hamiltonian component.

Findings

QSDEs driven by strong squeezing can be approximated by simpler equations

The approximation involves a single commuting noise process

An additional Hamiltonian term appears in the limit

Abstract

In this paper we study quantum stochastic differential equations (QSDEs) that are driven by strongly squeezed vacuum noise. We show that for strong squeezing such a QSDE can be approximated (via a limit in the strong sense) by a QSDE that is driven by a single commuting noise process. We find that the approximation has an additional Hamiltonian term.