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Dynamical Response of Entangled Quantum Matter

Project description

New methods reveal the dynamics of topological order in quantum materials

The interplay of strong interactions and geometric frustration in quantum materials can stabilise exotic quantum phases with topological order. Phases with topological order cannot be distinguished by local measurements. By contrast, they manifest through fractionalised excitations and unconventional non-local entanglement patterns, which are hard to experimentally detect. The ERC-funded DynaQuant project aims to develop new concepts and methods to study the fundamental dynamical properties of entangled quantum matter. Insight will support the international effort to develop experimental platforms to realise topological order and could contribute to the development of new quantum technologies.

Objective

The interplay of correlations and quantum fluctuations in condensed matter can give rise to topological phases with unexpected and exciting properties. While originally proposed for fractional quantum Hall states, recently new opportunities arose for realizing and controlling topological order: Quantum computers have demonstrated the fascinating fractionalized statistics of topological excitations and moiré semiconductors have appeared as promising candidates for realizing topological order. However, it remains an important open challenge to understand the dynamical response of such entangled matter, both on the fundamental level as well as for providing key experimental signatures that characterize these phases.

The central focus of the project DynaQuant is to develop new concepts and new theoretical methods to study the dynamical response of topological quantum states. The project has three principal objectives each of which would represent a major contribution to the field:
(O1) To introduce new dynamical probes tailored toward emerging experimental platforms that enable the detection of unique signatures of equilibrium phases with topological order.
(O2) To demonstrate the response of pristine nonequilibrium phases with Floquet topological order that do not possess analogues in thermal equilibrium.
(O3) To develop novel tensor network approaches for fracton topological order and investigate the collective dynamics of their excitations.

To successfully meet our ambitious objectives, my team and I will develop complementary analytical and numerical approaches. This allows us to understand fundamental dynamical properties of entangled quantum matter and to guide future experiments. Due to the international effort in developing experimental platforms for realizing topological order, it is now the right time to foster a deep understanding of their dynamical response, which is the central goal of the project DynaQuant.

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Topic(s)

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2024-COG

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Host institution

TECHNISCHE UNIVERSITAET MUENCHEN
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.

€ 1 998 750,00
Address
Arcisstrasse 21
80333 Muenchen
Germany

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Region
Bayern Oberbayern München, Kreisfreie Stadt
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.

€ 1 998 750,00

Beneficiaries (1)

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