Information Content of locAlisation: fRom classical to qUantum Systems

Project Information

ICARUS

Grant agreement ID: 838773

DOI

10.3030/838773

Project closed

EC signature date 26 April 2019

Start date 1 January 2020

End date 31 December 2021

Funded under

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Total cost

€ 184 590,72

EU contribution

€ 184 590,72

Coordinated by

THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD, OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Ireland

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

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

Summary of the context and overall objectives of the project

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.

Work performed from the beginning of the project to the end of the period covered by the report and main results achieved so far

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

Progress beyond the state of the art and expected potential impact (including the socio-economic impact and the wider societal implications of the project so far)

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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