Unique Quantum Paths by Continuous Diagonalization of the Density Operator

TL;DR

This paper demonstrates that for Markovian open quantum systems, a unique set of consistent Schmidt paths can be constructed, supporting quasi-classicality, by analyzing the continuous diagonalization of the density operator.

Contribution

It introduces a method to construct unique Schmidt paths in open quantum systems, linking to recent developments by Paz and Zurek.

Findings

Existence of a unique set of Schmidt paths for Markovian open quantum systems

Supports the emergence of quasi-classicality in quantum systems

Connects continuous diagonalization with recent Schmidt chain approaches

Abstract

In this short note we show that for a Markovian open quantum system it is always possible to construct a unique set of perfectly consistent Schmidt paths, supporting quasi-classicality. Our Schmidt process, elaborated several years ago, is the $\Delta t\to 0$ limit of the Schmidt chain constructed very recently by Paz and Zurek.