New states of Entangled Matter Out of equilibrium

Informations projet

NEMO

N° de convention de subvention: 771536

DOI

10.3030/771536

Projet clôturé

Date de signature de la CE 18 Avril 2018

Date de début 1 Septembre 2018

Date de fin 31 Août 2024

Financé au titre de

• EXCELLENT SCIENCE - European Research Council (ERC)

Coût total

€ 1 521 423,00

Contribution de l’UE

€ 1 521 423,00

Coordonné par

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Italy

Periodic Reporting for period 4 - NEMO (New states of Entangled Matter Out of equilibrium)

Période du rapport: 2023-03-01 au 2024-08-31

Résumé du contexte et des objectifs généraux du projet

In the field of non-equilibrium quantum physics, a vast array of exotic phenomena emerges, with no equivalent in equilibrium states.
Quantum entanglement serves as a key tool to analyze these novel behaviors. This project pushed forward this research area through multiple innovative avenues.
These advancements are essential for the progression of future quantum technologies, as they lay the groundwork for new approaches to harness and control quantum phenomena.
By deepening our understanding of non-equilibrium behaviors and entanglement dynamics, these developments open pathways toward innovative applications in quantum computing,
secure communication, and precision measurement.
The ability to manipulate and characterize complex quantum states more effectively will drive the creation of robust, scalable quantum systems and enable breakthroughs in fields
such as cryptography, sensing, and materials science.

Travail effectué depuis le début du projet jusqu’à la fin de la période considérée dans le rapport et principaux résultats atteints jusqu’à présent

One major advancement includes a new framework for calculating the time evolution of entanglement, achieved by ingeniously reversing the roles of space and time.
Another significant direction introduces entanglement asymmetry as a powerful probe for detecting symmetry breaking.
This concept led to the surprising discovery of the quantum Mpemba effect, where, under certain conditions, a more asymmetric initial configuration can relax to restore symmetry faster than a symmetric one.
In addition to the foundational publication in Nature Communications, two significant studies published in Physical Review Letters stand out.
One provides experimental validation of the quantum Mpemba effect using a trapped-ion simulator, while the other offers a proposed microscopic mechanism in integrable models.

Progrès au-delà de l’état des connaissances et impact potentiel prévu (y compris l’impact socio-économique et les conséquences sociétales plus larges du projet jusqu’à présent)

The advancements described above represent significant progress beyond the current state of the art, meeting key milestones set for the project.
These breakthroughs have provided critical insights and refined techniques essential for understanding entangled states in non-equilibrium quantum systems.
We achieved a comprehensive characterization of these entangled states, including in complex scenarios such as spin-charge separated systems.
This expanded understanding offers a detailed map of the entanglement properties in these systems, potentially revealing new mechanisms for quantum manipulation
and control that could further enhance their applicability in next-generation quantum technologies.

Pictorial representation of the light-cone spreading of entanglement

Construction of entanglement asymmetry