PIRSA:C17011 - Tensor Networks for Quantum Field Theories IIPODCAST Subscribe to podcast

Tensor Networks for Quantum Field Theories II

Organizer(s): Guifre Vidal   Robert Myers   Tadashi Takayanagi   Frank Verstraete   Steven White  

Collection URL: http://pirsa.org/C17011

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PIRSA:17040032  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Discretizing the many-electron Schrodinger Equation
Speaker(s): Steven White
Abstract: Large parts of condensed matter theoretical physics and quantum chemistry have as a central goal discretizing and solving the continuum many-electron Schrodinger Equation. What do we want to get from these calculations? What are key problems of interest? What sort of approaches are used? I'll sta... read more
Date: 18/04/2017 - 9:35 am

PIRSA:17040033  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Emergence of conformal symmetry in critical spin chains
Speaker(s): Ashley Milsted
Abstract: We demonstrate that 1+1D conformal symmetry emerges in critical spin chains by constructing a lattice ansatz Hn for (certain combinations of) the Virasoro generators Ln. The generators Hn offer a new way of extracting conformal data from the low energy eigenstates of the lattice Hamiltonian on a fin... read more
Date: 18/04/2017 - 11:00 am

PIRSA:17040034  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Applying DMRG to Non-relativistic Continuous Systems in 1D and 3D
Speaker(s): Miles Stoudenmire
Abstract: The density matrix renormalization group works very well for one-dimensional (1D) lattice systems, and can naively be adapted for non-relativistic continuum systems in 1D by discretizing real space using a grid. I will discuss challenges inherent in this approach and successful applications. Recentl... read more
Date: 18/04/2017 - 2:00 pm

PIRSA:17040035  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Solving Non-relativistic Quantum Field Theories with continuous Matrix Product States
Speaker(s): Martin Ganahl
Abstract: Since its proposal in the breakthrough paper [F. Verstraete, J.I. Cirac, Phys. Rev. Lett. 104, 190405(2010)], continuous Matrix Product States (cMPS) have emerged as a powerful tool for obtaining non-perturbative ground state and excited state properties of interacting quantum field theories (QFTs)... read more
Date: 18/04/2017 - 2:40 pm

PIRSA:17040044  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Bridging Perturbative Expansions with Tensor Networks
Speaker(s): Jutho Haegeman
Abstract: We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating perturbative expansions across a quantum phase transition. This approach leads to classes of tensor-network states parameter... read more
Date: 18/04/2017 - 3:50 pm

PIRSA:17040038  ( MP4 Medium Res , MP3 , PDF ) Which Format?
The continuous multi-scale entanglement renormalization ansatz (cMERA)
Speaker(s): Guifre Vidal
Abstract: The first half of the talk will introduce the cMERA, as proposed by Haegeman, Osborne, Verschelde and Verstratete in 2011 [1], as an extension to quantum field theories (QFTs) in the continuum of the MERA tensor network for lattice systems. The second half of the talk will review recent results [2] ... read more
Date: 19/04/2017 - 9:30 am

PIRSA:17040040  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Unitary Networks from the Exact Renormalization of Wavefunctionals
Speaker(s): Rob Leigh
Abstract: The exact renormalization group (ERG) for O(N) vector models at large N on flat Euclidean space admits an interpretation as the bulk dynamics of a holographically dual higher spin gauge theory on AdS_{d+1}. The generating functional of correlation functions of single trace operators is reproduced by... read more
Date: 19/04/2017 - 11:00 am

PIRSA:17040045  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Tensor networks and Legendre transforms
Speaker(s): Brian Swingle
Abstract: Tensor networks have primarily, thought not exclusively, been used to the describe quantum states of lattice models where there is some inherent discreteness in the system. This raises issues when trying to describe quantum field theories using tensor networks, since the field theory is continuous (... read more
Date: 19/04/2017 - 2:00 pm

PIRSA:17040036  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Analytic approaches to tensor networks for field theories
Speaker(s): Volkher Scholz
Abstract: I will discuss analytic approaches to construct tensor network representations of quantum field theories, more specifically conformal field theories in 1+1 dimensions. A key insight is that we should understand how well the tensor network can reproduce the correlation functions of the quantum field ... read more
Date: 19/04/2017 - 2:40 pm

PIRSA:17040039  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Tensor network renormalization and real space Hamiltonian flows
Speaker(s): Frank Verstraete
Abstract: We will review the topic of tensor network renormalization, relate it to real space Hamiltonian flows, and discuss the emergence of matrix product operator algebras as symmetries of the renormalization fixed points. joint work with Matthias Bal, Michael Marien and Jutho Haegeman
Date: 19/04/2017 - 3:50 pm

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