NonequilibriumAnyons · Topology in out of equilibrium strongly correlated systems
„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“
- Период
- 2021-04-19 → 2024-03-30
- Финансиране от ЕС
- 212 934 €
- Участници
- 1
- Схема
- MSCA-IF
Линиите свързват координатора с партньорите.
Накратко на български
Топологичните свойства на квантовите системи се изследват в динамични условия, например чрез специфичното движение на електроните. Тези открития помагат за разработването на по-стабилна електроника и устойчиви схеми за квантови изчисления.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Topology in out of equilibrium strongly correlated systems
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.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
Topologically protected states of matter have sparked tremendous interest in the recent decades. They require new ways to classify quantum phases and bring abstract concepts defined in mathematics of topology to daylight in the form of integer or fractionally quantized response. Being based on nonlocal quantities, they are extremely robust and constitute promising candidates for the fault-tolerant quantum computation. Fractional quantum Hall (FQH) states –an intrinsically strongly correlated phenomena– prove to be even more exotic with the possibility of harboring nonabelian anyons. Although the initial studies on topology have focused on equilibrium properties, life is a dynamical system and our technology relies on non-equilibrium physics. Meanwhile following Feynman’s revolutionary idea of quantum simulations, ultracold quantum gases have been firmly established as clean and controllable platforms to investigate condensed matter models. Not only several topological systems like the Nobel-cited Haldane model have been observed for the first time in cold atoms, their success has extended beyond equilibrium. Even though the recent studies on out-of-equilibrium topological dynamics reveals new classification schemes and new connections between topological invariants, so far they remain restricted to single-particle physics. At this milestone highlighting the timeliness of this project, we will pioneer theoretical investigations into the uncharted territory of the out-of-equilibrium response of strongly correlated topological systems. Equipped with our expertise in non-equilibrium phenomena in single-particle topology, we will conduct analytical calculations supported by numerics to uncover the many-body analogues. This will include classification of out-of-equilibrium topological invariants and introduction of novel quench techniques into the study of FQH states, all the while bridging the gap with experiments by identifying system specific protocols to observe them.
Оригинален текст от CORDIS (на английски).
Участници
- THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE · CAMBRIDGEКоординаторОбединеното кралство
Връзки
Данни: CORDIS, © Европейски съюз