A vacuum-adapted approach to quantum Feynman-Kac formulae

TL;DR

This paper introduces a vacuum-adapted quantum stochastic calculus approach to derive Feynman-Kac formulas, offering a new perspective on quantum stochastic flow perturbations.

Contribution

It presents a novel vacuum-adapted framework for quantum Feynman-Kac formulas, expanding the tools for quantum stochastic flow analysis.

Findings

Provides an alternative derivation of quantum Feynman-Kac formulas

Offers new insights into perturbation theory for quantum stochastic flows

Enhances understanding of quantum stochastic calculus methods

Abstract

The vacuum-adapted formulation of quantum stochastic calculus is employed to perturb expectation semigroups via a Feynman-Kac formula. This gives an alternative perspective on the perturbation theory for quantum stochastic flows that has recently been developed by the authors.