Tensor Network Methods

2018 ◽  
pp. 49-77
Author(s):  
Simone Montangero
Keyword(s):  
Tensor Network ◽  
Network Methods

scholarly journals One-dimensional many-body entangled open quantum systems with tensor network methods

2018 ◽  
Vol 4 (1) ◽  
pp. 013001 ◽  
Author(s):  
Daniel Jaschke ◽  
Simone Montangero ◽  
Lincoln D Carr
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Many Body ◽  
One Dimensional ◽  
Open Quantum ◽  
Tensor Network ◽  
Network Methods

scholarly journals Gauss law, minimal coupling and fermionic PEPS for lattice gauge theories

2020 ◽  
Author(s):  
Patrick Emonts ◽  
Erez Zohar
Keyword(s):  
Gauge Theories ◽  
Point Of View ◽  
Lattice Gauge ◽  
Hamiltonian Lattice ◽  
Tensor Network ◽  
Network Methods ◽  
Matter Theory ◽  
Lattice Gauge Theories ◽  
Points Of View ◽  
The One

In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network methods. The results reviewed here are tailored together in a slightly different way from the one used in the contexts where they were first introduced. We look at the Gauss law from two different points of view: for the gauge field, it is a differential equation, while from the matter point of view, on the other hand, it is a simple, explicit algebraic equation. We will review and discuss what these two points of view allow and do not allow us to do, in terms of unitarily gauging a pure-matter theory and eliminating the matter from a gauge theory, and relate that to the construction of PEPS (Projected Entangled Pair States) for lattice gauge theories.

scholarly journals Loop-TNR analysis of CP(1) model with theta term

2018 ◽  
Vol 175 ◽  
pp. 11015
Author(s):  
Hikaru Kawauchi ◽  
Shinji Takeda
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Tensor Networks ◽  
Tensor Network ◽  
Network Methods ◽  
Renormalization Method ◽  
Future Work

The phase structure of the two dimensional lattice CP(1) model in the presence of the θ term is analyzed by tensor network methods. The tensor renormalization group, which is a standard renormalization method of tensor networks, is used for the regions θ = 0 and θ ≠ 0. Loop-TNR, which is more suitable for the analysis of near criticality, is also implemented for the region θ = 0. The application of Loop-TNR for the region θ ≠ 0 is left for future work.

scholarly journals Tensor network methods with graph enhancement

2011 ◽  
Vol 84 (12) ◽  
Author(s):  
R. Hübener ◽  
C. Kruszynska ◽  
L. Hartmann ◽  
W. Dür ◽  
M. B. Plenio ◽  
...  
Keyword(s):  
Tensor Network ◽  
Network Methods

scholarly journals Spectral gaps of Affleck-Kennedy-Lieb-Tasaki Hamiltonians using tensor network methods

2013 ◽  
Vol 88 (24) ◽  
Author(s):  
Artur Garcia-Saez ◽  
Valentin Murg ◽  
Tzu-Chieh Wei
Keyword(s):  
Spectral Gaps ◽  
Tensor Network ◽  
Network Methods

scholarly journals Tensor Network study of the (1+1)-dimensional Thirring Model

2018 ◽  
Vol 175 ◽  
pp. 11017 ◽  
Author(s):  
Mari Carmen Bañuls ◽  
Krzysztof Cichy ◽  
Ying-Jer Kao ◽  
C.-J. David Lin ◽  
Yu-Ping Lin ◽  
...  
Keyword(s):  
Thirring Model ◽  
Matrix Product ◽  
Strongly Correlated ◽  
Topological Phase ◽  
Correlated Systems ◽  
Soliton Dynamics ◽  
Topological Phase Transition ◽  
Tensor Network ◽  
Network Methods ◽  
Low Dimensional

Tensor Network methods have been established as a powerful technique for simulating low dimensional strongly-correlated systems for over two decades. Employing the formalism of Matrix Product States, we investigate the phase diagram of the massive Thirring model. We also show the possibility of studying soliton dynamics and topological phase transition via the Thirring model.

scholarly journals Tensor network methods for invariant theory

2013 ◽  
Vol 46 (47) ◽  
pp. 475301 ◽  
Author(s):  
Jacob Biamonte ◽  
Ville Bergholm ◽  
Marco Lanzagorta
Keyword(s):  
Invariant Theory ◽  
Tensor Network ◽  
Network Methods

scholarly journals Size consistency of tensor network methods for quantum many-body systems

2013 ◽  
Vol 88 (12) ◽  
Author(s):  
Zhen Wang ◽  
Yongjian Han ◽  
Guang-Can Guo ◽  
Lixin He
Keyword(s):  
Many Body ◽  
Size Consistency ◽  
Tensor Network ◽  
Network Methods ◽  
Many Body Systems
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