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Topology in out of equilibrium strongly correlated systems

Project description

Fractional quantum states far from equilibrium could lead to new topology

Topologically protected states of matter enjoy a spotlight in condensed matter physics, bridging abstract geometrical notions from mathematics with materials science to seek new ways of building a future generation of electronics. Topological systems constitute pioneering candidates for the job with unprecedented resilience to external perturbations and novel quantum coherence times. Condensed matter such as ultracold quantum gases can exhibit strongly correlated phenomena such as the fractional quantum Hall effect, in which novel ground states of fractional rather than whole quantum numbers emerge. The topological effect is extremely robust and could be a candidate for fault-tolerant quantum computation, a holy grail in future technologies. The EU-funded NonequilibriumAnyons project is conducting theoretical investigations to study the largely unknown out-of-equilibrium response of strongly correlated systems.

Objective

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.

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MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2019

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Coordinator

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 212 933,76
Address
TRINITY LANE THE OLD SCHOOLS
CB2 1TN CAMBRIDGE
United Kingdom

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Region
East of England East Anglia Cambridgeshire CC
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 212 933,76
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