Continuous Monitoring of Dynamical Systems and Master Equations

TL;DR

This paper demonstrates the equivalence between Markovian master equations and continuous measurement processes in open quantum systems, analyzing a two-mode system with different environmental interactions and identifying regimes including Zeno-like behavior.

Contribution

It establishes a connection between quantum master equations and continuous measurement processes, providing a new perspective on system-environment interactions.

Findings

Identifies two regimes, including Zeno-like behavior, in the system dynamics.

Shows equivalence between master equation evolution and measurement-based processes.

Analyzes a two-mode quantum system with different environmental couplings.

Abstract

We illustrate the equivalence between the non-unitary evolution of an open quantum system governed by a Markovian master equation and a process of continuous measurements involving this system. We investigate a system of two coupled modes, only one of them interacting with external degrees of freedom, represented, in the first case, by a finite number of harmonic oscillators, and, in the second, by a sequence of atoms where each one interacts with a single mode during a limited time. Two distinct regimes appear, one of them corresponding to a Zeno-like behavior in the limit of large dissipation.