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Information Content of locAlisation: fRom classical to qUantum Systems

Periodic Reporting for period 1 - ICARUS (Information Content of locAlisation: fRom classical to qUantum Systems)

Reporting period: 2020-01-01 to 2021-12-31

In this project we study quantum dynamics in the presence of disorder, and specifically the Anderson and manybody localization transition to a phase where transport and thermalization are absent. Localization in quantum systems has both deep fundamental implications in many different fields and exciting practical applications in quantum technology.

Given its peculiar properties, the problem of localization is a rich, challenging and lively topic with relevance to several subfields: condensed matter theory, the foundations of statistical physics, atomic, molecular and optical experiments, and exciting possible technological applications such as quantum memories.

We aim to improve understanding of it with a three-fold approach:

- Using methods from quantum information to understand systems with peculiar quantum dynamics;

- Analysing dynamics in disordered and quasidisordered models using state of the art methods;

- Developing new theoretical tools coming from the physics of disordered systems.
The work done in this project has focused on localization, dynamics and entanglement properties of quantum scars, Fibonacci chains, and disordered models. These topics have been studied both numerically and analytically, using methods taken from quantum information as well as ones typically used for quantum disordered systems.

The following works have been published in peer reviewed journals or as preprints during the course of the project:

- JY Desaules, F P, Z Papić, J Goold, S Pappalardi, Quantum many-body scars have extensive multipartite entanglement (preprint)

- C Chiaracane, F P, A Purkayastha, J Goold, Quantum dynamics in the interacting Fibonacci chain

- F Anza, F P, J Goold, Logarithmic growth of local entropy and total correlations in many-body localized dynamics

- F P, F Alet, Probing many-body localization in a disordered quantum dimer model on the honeycomb lattice

- F P, N Laflorencie, Hilbert-space fragmentation, multifractality, and many-body localization
The work done in this project has progressed the understanding of entanglement and localization in quantum systems beyond the state of the art. The results obtained will have impact on the fundamental research involving quantum systems, quantum dynamics and quantum disordered and pseudodisordered systems. The numerical methods used will be reusable in many related fields in theoretical physics. Finally, the results have potential impacts in quantum technologies.
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