Explore the words cloud of the GAPS project. It provides you a very rough idea of what is the project "GAPS" about.
The following table provides information about the project.
Coordinator |
UNIVERSIDAD COMPLUTENSE DE MADRID
Organization address contact info |
Coordinator Country | Spain [ES] |
Project website | http://www.gapsproject.com |
Total cost | 1˙462˙750 € |
EC max contribution | 1˙462˙750 € (100%) |
Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
Code Call | ERC-2014-CoG |
Funding Scheme | ERC-COG |
Starting year | 2015 |
Duration (year-month-day) | from 2015-09-01 to 2021-08-31 |
Take a look of project's partnership.
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1 | UNIVERSIDAD COMPLUTENSE DE MADRID | ES (MADRID) | coordinator | 1˙462˙750.00 |
Interactions in a many body quantum system are encoded in a Hamiltonian, where the physical intuition that particles can only interact with those which are closeby is formally imposed as a local structure in the Hamiltonian, and homogeneity in space is imposed by a translational invariant structure on a given regular lattice in one, two or three dimensions. The first main aim of this proposal is to characterize the existence of a uniform (with the system size) lower bound on the gap between the two lowest eigenvalues of a given local translational invariant Hamiltonian.
There are many reasons which motivate this study, coming from different fields, and hence many potential applications. We will concentrate here on those coming from quantum information theory and from condensed matter physics and mainly, as the second main aim of this proposal, on classifying the different possible quantum phases arising in this type of models.
year | authors and title | journal | last update |
---|---|---|---|
2018 |
Christoph Sünderhauf, David Pérez-GarcÃa, 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 | 2020-03-24 |
2020 |
Yilun Yang, Sofyan Iblisdir, J. Ignacio Cirac, Mari Carmen Bañuls Probing Thermalization through Spectral Analysis with Matrix Product Operators published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.124.100602 |
Physical Review Letters 124/10 | 2020-03-24 |
2019 |
Andrea Coser, David Pérez-GarcÃa Classification of phases for mixed states via fast dissipative evolution published pages: 174, ISSN: 2521-327X, DOI: 10.22331/q-2019-08-12-174 |
Quantum 3 | 2020-03-24 |
2019 |
Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-GarcÃa Resource Quantification for the No-Programing Theorem published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.122.080505 |
Physical Review Letters 122/8 | 2020-03-24 |
2018 |
Andras Molnar, José Garre-Rubio, David Pérez-GarcÃa, 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 | 2020-03-24 |
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 | 2020-03-24 |
2019 |
Chris N. Self, Johannes Knolle, Sofyan Iblisdir, Jiannis K. Pachos Thermally induced metallic phase in a gapped quantum spin liquid: Monte Carlo study of the Kitaev model with parity projection published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.045142 |
Physical Review B 99/4 | 2020-03-24 |
2020 |
Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele On the Stability of Charges in Infinite Quantum Spin Systems published pages: 219-264, ISSN: 0010-3616, DOI: 10.1007/s00220-019-03630-1 |
Communications in Mathematical Physics 373/1 | 2020-03-24 |
2019 |
José Garre-Rubio, Sofyan Iblisdir Local order parameters for symmetry fractionalization published pages: 113016, ISSN: 1367-2630, DOI: 10.1088/1367-2630/ab4fff |
New Journal of Physics 21/11 | 2020-03-24 |
2019 |
Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia Locality at the Boundary Implies Gap in the Bulk for 2D PEPS published pages: 895-926, ISSN: 0010-3616, DOI: 10.1007/s00220-019-03404-9 |
Communications in Mathematical Physics 366/3 | 2020-03-24 |
2018 |
Marcus Huber, Ludovico Lami, Cécilia Lancien, Alexander Müller-Hermes High-Dimensional Entanglement in States with Positive Partial Transposition published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.200503 |
Physical Review Letters 121/20 | 2020-03-24 |
2020 |
Kohtaro Kato, Pieter Naaijkens An entropic invariant for 2D gapped quantum phases published pages: 85302, ISSN: 1751-8113, DOI: 10.1088/1751-8121/ab63a5 |
Journal of Physics A: Mathematical and Theoretical 53/8 | 2020-03-24 |
2019 |
Juan Ignacio Cirac, José Garre-Rubio, David Pérez-GarcÃa Mathematical open problems in projected entangled pair states published pages: 579-599, ISSN: 1139-1138, DOI: 10.1007/s13163-019-00318-x |
Revista Matemática Complutense 32/3 | 2020-03-24 |
2017 |
Chris N. Self, Jiannis K. Pachos, James R. Wootton, Sofyan Iblisdir Conformal energy currents on the edge of a topological superconductor published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.95.115141 |
Physical Review B 95/11 | 2019-07-23 |
2017 |
Andrea Coser, Cristiano De Nobili, Erik Tonni A contour for the entanglement entropies in harmonic lattices published pages: 314001, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa7902 |
Journal of Physics A: Mathematical and Theoretical 50/31 | 2019-07-23 |
2017 |
J.I. Cirac, D. Pérez-GarcÃa, N. Schuch, F. Verstraete Matrix product density operators: Renormalization fixed points and boundary theories published pages: 100-149, ISSN: 0003-4916, DOI: 10.1016/j.aop.2016.12.030 |
Annals of Physics 378 | 2019-07-23 |
2015 |
Fernando G. S. L. Brandão, Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, David Perez-Garcia Area law for fixed points of rapidly mixing dissipative quantum systems published pages: 102202, ISSN: 0022-2488, DOI: 10.1063/1.4932612 |
Journal of Mathematical Physics 56/10 | 2019-07-23 |
2016 |
Carlos Fernández-González, Roger S. K. Mong, Olivier Landon-Cardinal, David Pérez-GarcÃa, Norbert Schuch Constructing topological models by symmetrization: A projected entangled pair states study published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.94.155106 |
Physical Review B 94/15 | 2019-07-23 |
2016 |
Cristiano De Nobili, Andrea Coser, Erik Tonni Entanglement negativity in a two dimensional harmonic lattice: area law and corner contributions published pages: 83102, ISSN: 1742-5468, DOI: 10.1088/1742-5468/2016/08/083102 |
Journal of Statistical Mechanics: Theory and Experiment 2016/8 | 2019-07-23 |
2016 |
G. De las Cuevas, T. S. Cubitt, J. I. Cirac, M. M. Wolf, D. Pérez-GarcÃa Fundamental limitations in the purifications of tensor networks published pages: 71902, ISSN: 0022-2488, DOI: 10.1063/1.4954983 |
Journal of Mathematical Physics 57/7 | 2019-07-23 |
2015 |
Toby S. Cubitt, David Perez-Garcia, Michael M. Wolf Undecidability of the spectral gap published pages: 207-211, ISSN: 0028-0836, DOI: 10.1038/nature16059 |
Nature 528/7581 | 2019-07-23 |
2018 |
Angela Capel, Angelo Lucia, David Perez-Garcia Superadditivity of Quantum Relative Entropy for General States published pages: 1-1, ISSN: 0018-9448, DOI: 10.1109/TIT.2017.2772800 |
IEEE Transactions on Information Theory | 2019-07-23 |
2017 |
J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete Matrix product unitaries: structure, symmetries, and topological invariants published pages: 83105, ISSN: 1742-5468, DOI: 10.1088/1742-5468/aa7e55 |
Journal of Statistical Mechanics: Theory and Experiment 2017/8 | 2019-07-23 |
2017 |
José Garre-Rubio, Sofyan Iblisdir, David Pérez-GarcÃa Symmetry reduction induced by anyon condensation: A tensor network approach published pages: , ISSN: 1098-0121, DOI: 10.1103/PhysRevB.96.155123 |
Physical Review B 96/15 | 2019-07-23 |
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 | 2019-07-23 |
2018 |
Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia, Michael M. Wolf Size-driven quantum phase transitions published pages: 19-23, ISSN: 0027-8424, DOI: 10.1073/pnas.1705042114 |
Proceedings of the National Academy of Sciences 115/1 | 2019-07-23 |
2018 |
Ãngela Capel, Angelo Lucia, David Pérez-GarcÃa Quantum conditional relative entropy and quasi-factorization of the relative entropy published pages: , ISSN: 1751-8113, DOI: 10.1088/1751-8121/aae4cf |
Journal of Physics A: Mathematical and Theoretical | 2019-07-23 |
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The information about "GAPS" are provided by the European Opendata Portal: CORDIS opendata.
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