Freezing and Thawing of Entanglement in Lossless Multiparty Systems

TL;DR

This paper investigates entanglement freezing and thawing in lossless multiparty quantum systems, revealing phenomena like permanent freezing in infinite systems and alternating freezing and thawing in finite systems, aiding quantum entanglement control.

Contribution

It demonstrates the universality of entanglement freezing in lossless multiparty systems and uncovers new dynamical behaviors like thawing in finite-sized systems.

Findings

Permanent entanglement freezing in infinite systems

Emergence of entanglement thawing in finite systems

Alternating freezing and thawing phenomena over time

Abstract

Entanglement freezing has been demonstrated existing in various noisy decoherence mechanisms. Here we explore its universality by investigating freezing behavior in a lossless multiparty system, i.e., an $N$-site optical lattice (or equivalently spin-chain) system. Interesting phenomenon of permanent entanglement freezing is found for the infinite-size case ($N\rightarrow\infty$). As the multiparty system size reduces to finite $N$, the interesting behavior of dynamical entanglement "thawing" start to emerge. Especifically, alternative appearances of "freezing" and "thawing" can be identified as time evolves. Our results may provide useful guidance to entanglement control in quantum tasks.