| Source DB | nl |
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| Institution | UGent |
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| Code | 18eda630-9e48-4112-9747-17f741474d76 |
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| Unit | 3d80f44d-a6bd-4650-a26f-a7d882b99d2b
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| Begin | 9/1/2015 |
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| End | 8/31/2021 |
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| title fr |
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| title nl | QUTE
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| title en | Quantum tensor networks and entanglement
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| Description fr |
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| Description nl | Dit project heeft als doel om nieuwe technieken te ontwikkelen om sterk gecorreleerde kwantumsystemen te beschrijven en simuleren.
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| Description en | One of the major challenges in theoretical physics is the development of systematic methods for describingand simulating quantum many body systems with strong interactions. Given the huge experimental progressand technological potential in manipulating strongly correlated atoms and electrons, there is a pressing needfor such a better theory.The study of quantum entanglement holds the promise of being a game changer for this question. By mappingout the entanglement structure of the low-energy wavefunctions of quantum spin systems on the lattice, theprototypical example of strongly correlated systems, we have found that the associated wavefunctions can bevery well modelled by a novel class of variational wavefunctions, called tensor network states. Tensornetworks, and in particular matrix product states, projected entangled pair states and the multiscaleentanglement renormalization ansatz, are changing the ways in which strongly correlated systems can besimulated, classified and understood: as opposed to the usual many body methods, these tensor networks aregeneric and describe non-perturbative effects in a very natural way.The goal of this proposal is to advance the scope and use of tensor networks in several directions, both fromthe numerical and theoretical point of view. We plan to study the differential geometric character of themanifold of tensor network states and the associated nonlinear differential equations of motion on it, developpost tensor network methods in the form of effective theories on top of the tensor network vacuum, studytensor networks in the context of lattice gauge theories and topologically ordered systems, and investigate thenovel insights that tensor networks are providing to the renormalization group and the holographic principle.Colloquially, we believe that tensor networks and the theory of entanglement provide a basic new vocabularyfor describing strongly correlated quantum systems, and the main goal of this proposal is to develop the syntaxand semantics of that new language.
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| Qualifiers | - entaglement - entanglement - quantum many body physics - |
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| Personal | Van Damme Maarten, Bultinck Nick, Haegeman Jutho, Vanhecke Bram, Schotte Alexis, Van Acoleyen Karel |
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