Quantum dynamics intervened by repeated nonselective measurements

TL;DR

This paper develops a theoretical framework for the dynamics of open quantum systems subjected to repeated nonselective measurements, deriving master equations and analyzing various measurement and Hamiltonian scenarios.

Contribution

It introduces a comprehensive theory for quantum system evolution under repeated nonselective measurements, including time-dependent bases and the Landau-Zener model.

Findings

Derived approximate master equations in the stroboscopic limit.

Analyzed dynamics with time-dependent Hamiltonians and measurement bases.

Illustrated the theory with Landau-Zener model measurements.

Abstract

We derive the theory of open quantum system dynamics intervened by a series of nonselective measurements. We analyze the cases of time independent and time dependent Hamiltonian dynamics in between the measurements and find the approximate master equation in the stroboscopic limit. We also consider a situation, in which the measurement basis changes in time, and illustrate it by nonselective measurements in the basis of diabatic states of the Landau-Zener model.