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Quantum Systems Investigated through Tensor Network States

Objective

Tensor Network States (TNS) are a class of variational wave functions whose number of parameters can be increased systematically in order to improve the accuracy of the approximation. In effectively one dimensional systems, such as certain magnetic insulators, TNS reproduce the macroscopic properties of the ground state by 1 part in 10 million. TNS are expected to eventually give rise to similar accuracies in higher dimensions, though, in this case, their numerical implementation is much more sophisticated.

The overall aim of this action is to establish TNS as a standard tool to tackle strongly correlated systems. In order to do so, we want to show that for several outstanding problems in Condensed Matter Physics they allow to approximate the relevant wave functions with unprecedented accuracy.

First, we want to use TNS to tackle realistic chiral topological systems, which are characterised by a quantised transport property and might eventually be used to build quantum computers. Our second objective is to employ TNS to describe many-body localised systems, characterised by the absence of heat transport. In particular, we want to analyse different situations that are relevant to experiments, namely heat diffusion when the system is weakly coupled to a heat bath,
the effect of symmetries, periodically driven (Floquet) systems, and many-body localisation in two dimensions. Another objective is to use a simple TNS ansatz to approximate the phase diagram of the Fermi-Hubbard model, which is believed to describe high-temperature superconductivity. We expect that the simplicity of the ansatz will shed more light on the physical properties of its phases.

Finally, we also want to apply TNS in High Energy Physics, specifically to Lattice Gauge Theories, describing the most fundamental interactions between the particles that appear in nature. Our objective is to represent realistic gauge groups to make TNS suitable for variational calculations of Lattice Gauge Theories.

Fields of science (EuroSciVoc)

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Programme(s)

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

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.

MSCA-IF-EF-ST - Standard EF

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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) H2020-MSCA-IF-2016

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Coordinator

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
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.

€ 183 454,80
Address
WELLINGTON SQUARE UNIVERSITY OFFICES
OX1 2JD Oxford
United Kingdom

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Region
South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire
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.

€ 183 454,80
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