Tensor Networks for Quantum Field Theories

Tensor network states, such as the matrix product state (MPS), projected entangled-pair states (PEPS), and the multi-scale entanglement renormalization ansatz (MERA), can be used to efficiently represent the ground state of quantum many-body Hamiltonians on a lattice. In this way, they provide a novel theoretical framework to characterize phases of quantum matter, while also being the basis for powerful numerical approaches to strongly interacting systems on the lattice.

The goal of this meeting is to discuss recent extensions of tensor network techniques to continuous systems. Continuous MPS and continuous MERA can tackle quantum field theories directly, without the need to put them on the lattice. Therefore they offer a non-perturbative, variational approach to QFT, with plenty of potential applications. On the other hand, the proposal of continuous MERA makes previous hand-waving arguments that the MERA is a lattice realization of the AdS/CFT correspondence ever more intriguing.

Pedagogical talks will be directed to introducing the subject to (PI resident) quantum field/string theorists. Discussions with the latter will aim at identifying future applications and challenges.
 

Speakers:

Philippe Corboz, ETH Zurich
Glen Evenbly, California Institute of Technology
Zheng-Cheng Gu, Kavli Institute for Theoretical Physics
Jutho Haegeman, Ghent University
Sung-Sik Lee, McMaster University and Perimeter Institute
Tobias Osborne, University of Hannover
Frank Verstraete, University of Vienna
Guifre Vidal, Perimeter Institute

Participants:

Ganapathy Baskaran, Institute of Mathematical Sciences
John Berlinsky, Perimeter Institute
Hector Bombin, Perimeter Institute
Oliver Buerschaper, Perimeter Institute
Giulio Chiribella, Perimeter Institute
Lukasz Cincio, Perimeter Institute
Philippe Corboz, ETH Zurich
Tommaso Demarie, Macquarie University
Glen Evenbly, California Institute of Technology
Laurent Freidel, Perimeter Institute
Jaume Gomis, Perimeter Institute
Zheng-Cheng Gu, Kavli Institute for Theoretical Physics
Jutho Haegeman, Ghent University
Adrian Kent, Perimeter Institute
John Klauder, University of Florida
Sung-Sik Lee, McMaster University and Perimeter Institute
Peter Lunts, Perimeter Institute
Dalimil Mazac, Perimeter Institute
Akimasa Miyake, Perimeter Institute
Sebastian Montes Valencia, Perimeter Institute
Rob Myers, Perimeter Institute
Tobias Osborne, University of Hannover
Robert Pfeifer, Perimeter Institute
Maitagorri Schade, Perimeter Institute
Daniel Terno, Perimeter Institute
Natalia Toro, Perimeter Institute
Frank Verstraete, University of Vienna
Guifre Vidal, Perimeter Institute
Pedro Vieira, Perimeter Institute
Itay Yavin, Perimeter Institute