Freezing dynamics of entanglement and nonlocality for qutrit-qutrit ($3 \otimes 3$) quantum systems

TL;DR

This paper investigates entanglement and nonlocality dynamics in qutrit-qutrit systems, revealing entanglement freezing phenomena and conditions under which nonlocality persists or is lost over time.

Contribution

It extends the understanding of entanglement freezing phenomena from qubit systems to qutrit-qutrit systems, highlighting the roles of decoherence free subspaces.

Findings

Quantum states can freeze their entanglement after decay.

Entanglement remains constant while states change.

Nonlocality can be lost or persist indefinitely.

Abstract

We examine the possibilities of non-trivial phenomena of time-invariant entanglement and freezing dynamics of entanglement for qutrit-qutrit quantum systems. We find no evidence for time-invariant entanglement, however, we do observe that quantum states freeze their entanglement after decaying for some time. It is interesting that quantum states are changing whereas their entanglement remains constant. We find that the combined action of decoherence free subspaces and subspaces where quantum states decay, facilitate this phenomenon. This study is an extension of similar phenomena observed for qubit-qubit systems, qubit-qutrit, and multipartite quantum systems. We examine nonlocality of a specific family of states and find the certain instances where the states still remain entangled, however they can either loose their nonlocality at a finite time or remain nonlocal for all times.