Topology in out of equilibrium strongly correlated systems

Información del proyecto

NonequilibriumAnyons

Identificador del acuerdo de subvención: 893915

DOI

10.3030/893915

Proyecto cerrado

Fecha de la firma de la CE 20 Abril 2020

Fecha de inicio 19 Abril 2021

Fecha de finalización 30 Marzo 2024

Financiado con arreglo a

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Coste total

€ 212 933,76

Aportación de la UE

€ 212 933,76

Coordinado por

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom

Periodic Reporting for period 1 - NonequilibriumAnyons (Topology in out of equilibrium strongly correlated systems)

Período documentado: 2021-04-19 hasta 2023-04-18

Resumen del contexto y de los objetivos generales del proyecto

The synergy of topology and physics has revolutionized how we understand and classify matter in recent decades. By bringing concepts from an abstract mathematical realm of topology, it has been shown that quantum mechanical wave functions can tie knots and do twists in the abstract spaces they live in. Most importantly, these abstract knots and twists come to life as observables in the form of perfectly quantized integer or fractional responses. These topological properties are extremely robust, and hence, even constitute promising candidates for advanced electronics and fault-tolerant quantum computation schemes. Topological systems involving non-Abelian braiding offer more exotic properties, where doing two chosen operations in different orders result in different effects. Characterization and experimental observation of such topologies are active fields of research in conventional materials as well as in state-of-the-art quantum simulators which are artificial systems cleverly designed to simulate these quantum phenomena. At this junction, this project has considered settings beyond equilibrium since life is dynamic and our technology relies on non-equilibrium physics. We have investigated out-of-equilibrium dynamics and classification of topological systems, unearthed novel robust responses far from equilibrium and explored how to harness these properties in laboratories. We have discovered new topological phases where electrons perform a precise dance to realize these non-Abelian properties which cannot exists in a static context.

Trabajo realizado desde el comienzo del proyecto hasta el final del período abarcado por el informe y los principales resultados hasta la fecha

The work performed centered around investigating non-equilibrium and dynamical response of topological systems, which can feature intriguing non-Abelian properties, while aiming also at exploring various signatures for these exotic topological phases and their realization in laboratories. This involved considering systems driven out of equilibrium by periodic driving or sudden changes in system parameters, where we constructed relevant models in various settings and employed analytical and numerical calculations to characterize them. Main results have been the retrieval of this novel theoretical knowledge which have been accordingly reported in 8 publications in top-tier journals and have been also disseminated in a wide range of settings, including two dozen invited talks to present these results to audiences as broad as possible.

Avances que van más allá del estado de la técnica e impacto potencial esperado (incluida la repercusión socioeconómica y las implicaciones sociales más amplias del proyecto hasta la fecha)

The results of the project have been presented in 8 publications and have been disseminated in numerous invited talks to a wide range of audiences, underpinning the impact and broad-reach of these research results. Since this is a project concerning fundamental theoretical research, the innovative nature lies at the new topological phenomena, phases and probes discovered. Identified possible connections are reported in these publications, which in turn can aid future developments of new quantum technologies by their nature. In particular, in one article published in Nature Communications, we reported on a new novel type of topology with no static counterpart (see attached illustration). This has attracted great attention since they can only arise via non-Abelian braiding and out of equilibrium under periodic driving such as under a laser light.

braiding.png