H2020Индивидуална стипендия2019–2022

ExcitingTopology · Topological order beyond the equilibrium ground state: driven quantum matter and magnon excitation spectra

„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“

Период: 2019-12-01 → 2022-03-01
Финансиране от ЕС: 212 934 €
Участници: 1
Схема: MSCA-IF

Линиите свързват координатора с партньорите.

Накратко на български

Топологичните фази на материята изследват как математическите свойства на обектите, като броят на дупките в тях, определят поведението на електроните в метал или изолатор. Тези открития помагат за създаването на енергоефективна електроника и по-стабилни платформи за квантови изчисления.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Topological order beyond the equilibrium ground state: driven quantum matter and magnon excitation spectra

This project deals with topological band theory, which has become a rather prominent research area in the field of condensed matter physics. In a nutshell, this discipline revolves around utilizing principles from the mathematical domain of topology, which studies properties of objects that are preserved under smooth deformations and cannot be altered without cutting or tearing such as the number of holes, and use them to classify phases of matter. That is, unlike spins aligning in a magnet, topological phases are not classified by symmetry breaking but instead require nonlocal invariants that in essence count generalized “knots or holes”. This has been particularly influential in the characterization of electron systems. A monumental triumph of quantum mechanics and its wave interpretation of particles is that it can shed light on material behaviors. These insights have been reinvigorated in the past years due to mentioned unanticipated connections with topology. Namely, it was found that the wave functions can tie distinctive collective knots when specific symmetries are present, topologically distinguishing different classes of insulators and metals. These topological materials are not only appealing from a theoretical point of view, but have in fact seen several material realizations. Moreover, due their proposed illustrious properties, topological insulators and metals exhibit remarkable phenomena such as protected metallic edge states that could shape next-generation power-efficient electronics. Moreover, excitations in topological materials can in certain scenarios even store and process quantum information, making them a key component in fault-tolerant quantum computing platforms. These fundamental insights are therefore anticipated to be of societal impact in the more distant future. Turning more concretely to the objectives of this action, we can summarize these as finding novel topological phases in out-of-equilibrium settings and excitations spectra. While, the structure of categorizing electronic topological phases in equilibrium has been discovered over the past years, specific evidence pinpoints that other phases outside this modern 'Mendeleev table' exist. In particular, we aim to take up this challenge and unearth new topological phases in systems that are driven out of equilibrium due to periodic matter-light interactions and bosonic excitation spectra, where the latter are effective wave theories that arise for example in crystalline spin structures [magnons] or the elastic arrangement of atoms [phonons]. As in the case of the electronic counterparts, symmetries are anticipated to play a role in providing for the necessary conditions for these topological phases to exist.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

With the discovery of topological order, condensed matter physics has witnessed a revolution in how phases of matter ought to be defined and characterized. Unlike spins aligning in a magnet, topological phases are not classified by symmetry breaking but instead require nonlocal invariants that relate to the mathematical domain of topology. This theme took a turn with the finding that even common electronic band structures can feature topological invariants in the presence of appropriate symmetries. Ever since, many such symmetry protected topological (SPT) states have been predicted and arranged into a unifying table. These developments have been accompanied by the actual realization of various topological band insulators that feature striking properties including protected metallic edge states and proposed exotic fractionalized excitations, which may provide a route to fault-tolerant topological quantum computing. Now, the field is approaching a new exciting turning point as indications are emerging that other parts of the modern 'Mendeleev table' exist involving band structures that do not pertain to equilibrium ground states. On the verge of this milestone, this project will take a pioneering role and investigate such SPT phases in the context of periodically driven quantum systems and magnon excitation spectra. The objective is to uncover the underlying general classification principles, which will provide a guide to engineering novel states and accordingly new physics. To this end, we will apply a multidisciplinary approach combining state-of-the-art handles on SPT order, insights from analytically tractable models and numerics. In particular, we envision that naturally present crystal symmetries will play a prominent role here -one that has yet to be appreciated- much as they do in equilibrium SPTs. Together with a complementary generalization of physical observables, we expect this action to pave the way to a new chapter in the success story of SPT phases.

Оригинален текст от CORDIS (на английски).

Участници

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE · CAMBRIDGEКоординаторОбединеното кралство