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State-of-the-art simulations of quantum many-body systems with the next-generation tensor network algorithms

Project description

Advanced quantum many-body simulation with unprecedented accuracy

Microscopic or quantum systems consisting of many interacting particles – so-called quantum many-body systems – can exhibit spontaneous emergent phenomena that are exotic and unique, opening the door to opportunities for unprecedented applications. However, since most of these have been discovered by chance and we have very little knowledge of the physics behind them, we are far from the ability to control them. Simulation of these systems, whether experimentally or theoretically, can address this challenge. The EU-funded NexGenTeN project will advance the field of tensor network algorithms that has been instrumental in the simulation of quantum many-body systems for unparalleled accuracy and insight.

Objective

One of the biggest and most relevant challenges in physics is the accurate study of strongly correlated quantum many-body systems, which give rise to very remarkable phenomena like high-Tc superconductivity (HTSC), quantum spin liquids with topological order, and other novel phases of matter. Understanding these systems is the key to designing new materials and quantum devices for future groundbreaking technologies. In recent years enormous progress in the study of these systems has been achieved with two-dimensional tensor network algorithms, which can be seen as a generalization of the powerful density-matrix renormalization group method to higher dimensions. While already the current algorithms are very powerful and outperform other state-of-the-art approaches, the development of new algorithms with a higher accuracy and broader application range is crucial to enable to solve the most pressing open problems.

Building upon my previous breakthroughs in this field, I will develop the next generation of tensor network algorithms, including novel powerful methods for ground states, time evolution, spectral functions, finite temperature, open systems, and multi-scale approaches. I will use them for groundbreaking simulations of relevant open problems in several fields with unprecedented accuracy. Major milestones include (1) simulations of realistic models of cuprate materials in order to shed new light on the pseudogap phase and pairing mechanism in HTSC, (2) cutting-edge simulations of frustrated materials to reveal the nature of excitations and thermodynamic properties of quantum spin liquids and other challenging states, and (3) predictions of novel states of matter in SU(N) and open quantum systems which can be realized in experimental quantum simulators. This ambitious project will strongly advance our fundamental understanding of strongly correlated systems and set a new state-of-the-art in simulating quantum many-body problems.

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Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

ERC-COG - Consolidator Grant

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) ERC-2020-COG

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Host institution

UNIVERSITEIT VAN AMSTERDAM
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.

€ 1 999 630,00
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.

€ 1 999 630,00

Beneficiaries (1)

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