scholarly journals Tensor network approach to two-dimensional bosonization

2020 ◽  
Vol 101 (15) ◽  
Author(s):  
Sujeet K. Shukla ◽  
Tyler D. Ellison ◽  
Lukasz Fidkowski
Keyword(s):  
Two Dimensional ◽  
Network Approach ◽  
Tensor Network

scholarly journals Criticality in two-dimensional quantum systems: Tensor network approach

2017 ◽  
Vol 95 (15) ◽  
Author(s):  
Shi-Ju Ran ◽  
Cheng Peng ◽  
Wei Li ◽  
Maciej Lewenstein ◽  
Gang Su
Keyword(s):  
Quantum Systems ◽  
Two Dimensional ◽  
Network Approach ◽  
Tensor Network

scholarly journals Tensor network study of two dimensional lattice $\phi^{4}$ theory

2019 ◽  
Author(s):  
Ryo Sakai ◽  
Daisuke Kadoh ◽  
Yoshinobu Kuramashi ◽  
Yoshifumi Nakamura ◽  
Shinji Takeda ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Dimensional Lattice ◽  
Tensor Network

scholarly journals Series-expansion thermal tensor network approach for quantum lattice models

2017 ◽  
Vol 95 (16) ◽  
Author(s):  
Bin-Bin Chen ◽  
Yun-Jing Liu ◽  
Ziyu Chen ◽  
Wei Li
Keyword(s):  
Series Expansion ◽  
Lattice Models ◽  
Network Approach ◽  
Quantum Lattice ◽  
Tensor Network

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.

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