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Wavefunctions for strongly correlated systems

Total Cost €


EC-Contrib. €






Project "WASCOSYS" data sheet

The following table provides information about the project.


Organization address
postcode: 80539
website: n.a.

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Germany [DE]
 Total cost 1˙338˙500 €
 EC max contribution 1˙338˙500 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-STG
 Funding Scheme ERC-STG
 Starting year 2015
 Duration (year-month-day) from 2015-03-01   to  2020-06-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

Strongly correlated quantum systems, which are at the heart of many open problems in condensed matter, quantum chemistry, or high-energy physics, are challenging to understand due to their intricate entanglement structure. Quantum information theory provides the right framework to characterize highly entangled states and has given rise to the class of Tensor Network States, which capture the entanglement structure of strongly correlated systems by building the global wavefunction from local tensors and provide an efficient description of their low-energy states.

In this project, we will develop a framework for the systematic study of strongly correlated systems using exact wavefunctions based on Tensor Network States. It will give us the tools to construct controlled families of states by encoding the relevant structure of the system directly into the wavefunction, rather than a Hamiltonian, and to study their behavior. Since the tensor describing the wavefunction also gives rise to an associated Hamiltonian, this establishes a framework for building solvable models with the tensor as the new central object.

The novelty of our approach lies in the fact that quantum information gives us the tools to systematically construct wavefunctions for general strongly correlated systems, while at the same time, encoding the structure of the problem directly into the wavefunction results in small families of states with a direct physical interpretation of the parameters, unlike for fully variational approaches.

We will apply our framework to study the physics of a range of strongly correlated models, in particular frustrated fermionic and spin systems, in order to understand the possible physics they can exhibit. This will enhance our understanding of the physics of strongly correlated systems, and, together with numerical results, experimental findings, and quantum simulations, ultimately lead to new applications and materials based on strongly correlated matter.


year authors and title journal last update
List of publications.
2018 Christoph Sünderhauf, David Pérez-García, David A. Huse, Norbert Schuch, J. Ignacio Cirac
Localization with random time-periodic quantum circuits
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.134204
Physical Review B 98/13 2019-10-03
2018 Anna Hackenbroich, Antoine Sterdyniak, Norbert Schuch
Interplay of SU(2), point group, and translational symmetry for projected entangled pair states: Application to a chiral spin liquid
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.085151
Physical Review B 98/8 2019-10-03
2017 Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch, David Perez-Garcia
Irreducible forms of matrix product states: Theory and applications
published pages: 121901, ISSN: 0022-2488, DOI: 10.1063/1.5000784
Journal of Mathematical Physics 58/12 2019-10-03
2018 Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia, J. Ignacio Cirac
Continuum limits of matrix product states
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.174303
Physical Review B 98/17 2019-10-03
2018 Andras Molnar, Yimin Ge, Norbert Schuch, J. Ignacio Cirac
A generalization of the injectivity condition for projected entangled pair states
published pages: 21902, ISSN: 0022-2488, DOI: 10.1063/1.5007017
Journal of Mathematical Physics 59/2 2019-10-03
2018 Mohsin Iqbal, Kasper Duivenvoorden, Norbert Schuch
Study of anyon condensation and topological phase transitions from a Z 4 topological phase using the projected entangled pair states approach
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.195124
Physical Review B 97/19 2019-10-03
2018 Henrik Dreyer, J. Ignacio Cirac, Norbert Schuch
Projected entangled pair states with continuous virtual symmetries
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.115120
Physical Review B 98/11 2019-10-03
2018 Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, J Ignacio Cirac
Normal projected entangled pair states generating the same state
published pages: 113017, ISSN: 1367-2630, DOI: 10.1088/1367-2630/aae9fa
New Journal of Physics 20/11 2019-10-03

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