Liouville coherent states

TL;DR

This paper introduces a framework for generalized coherent states in Liouville space of open quantum systems, leveraging dynamical symmetries to achieve robustness against time-dependent perturbations.

Contribution

It develops a method to construct generalized coherent states in Liouville space using dynamical symmetries, enhancing understanding of open quantum system dynamics.

Findings

Robustness of generalized coherent states against time-dependent perturbations

Application to systems with compact and non-compact symmetries

Framework for analyzing open quantum system dynamics

Abstract

For a certain class of open quantum systems there exists a dynamical symmetry which connects different time-evolved density matrices. We show how to use this symmetry for dynamics in the Liouville space with time-dependent parameters. This allows us to introduce a concept of generalized coherent states (e.g. density matrices) in the Liouville space. Dynamics of this class of density matrices is characterized by robustness with respect to any time-dependent perturbations of the couplings. We study their dynamical context while focusing on common physical situations corresponding to compact and non-compact symmetries.