79 citations · 406 across the 14 of their papers we have counts for
16 papers
Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions
Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice +2
We show how to construct a tensor network representation of the path integral for reduced staggered fermions coupled to a non-abelian gauge field in two dimensions. The resulting f…
Improved coarse-graining methods on two dimensional tensor networks including fermions
Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice +2
We show how to apply renormalization group algorithms incorporating entanglement filtering methods and a loop optimization to a tensor network which includes Grassmann variables wh…
Quantum Simulation of the N flavor Gross-Neveu Model
Muhammad Asaduzzaman, Simon Catterall, Goksu Can Toga +2
We discuss the use of quantum simulation to study an flavor theory of interacting relativistic fermions in(1+1) dimensions on NISQ era machines. The case of two flavors is part…
Tensor networks for High Energy Physics: contribution to Snowmass 2021
Yannick Meurice, James C. Osborn, Ryo Sakai +3
Tensor network methods are becoming increasingly important for high-energy physics, condensed matter physics and quantum information science (QIS). We discuss the impact of tensor…
From tensors to qubits
Yannick Meurice, Alexei Bazavov, Patrick Dreher +6
We discuss recent progress in Tensor Lattice Field Theory and economical, symmetry preserving, truncations suitable for quantum computations or simulations. We focus on spin and ga…
Clock model interpolation and symmetry breaking in O(2) models
Leon Hostetler, Jin Zhang, Ryo Sakai +3
The -state clock model is a classical spin model that corresponds to the Ising model when and to the model when . The integer- clock model has been stu…
Clock model interpolation and symmetry breaking in O(2) models
Leon Hostetler, Jin Zhang, Ryo Sakai +3
Motivated by recent attempts to quantum simulate lattice models with continuous Abelian symmetries using discrete approximations, we define an extended-O(2) model by adding a $γ\co…
Tensor lattice field theory with applications to the renormalization group and quantum computing
Yannick Meurice, Ryo Sakai, Judah Unmuth-Yockey
We discuss the successes and limitations of statistical sampling for a sequence of models studied in the context of lattice QCD and emphasize the need for new methods to deal with…
Investigation of complex theory at finite density in two dimensions using TRG
Daisuke Kadoh, Yoshinobu Kuramashi, Yoshifumi Nakamura +3
We study the two-dimensional complex theory at finite chemical potential using the tensor renormalization group. This model exhibits the Silver Blaze phenomenon in which bu…
Tensor network formulation of the massless Schwinger model
Nouman Butt, Simon Catterall, Yannick Meurice +1
We construct a tensor network representation of the partition function for the massless Schwinger model on a two dimensional lattice using staggered fermions. The tensor network re…
Tensor network study of two dimensional lattice theory
Ryo Sakai, Daisuke Kadoh, Yoshinobu Kuramashi +3
The tensor renormalization group attracts great attention as a new numerical method that is free of the sign problem. In addition to this striking feature, it also has an attractiv…
Tensor network analysis of critical coupling in two dimensional theory
Daisuke Kadoh, Yoshinobu Kuramashi, Yoshifumi Nakamura +3
We make a detailed analysis of the spontaneous -symmetry breaking in the two dimensional real theory with the tensor renormalization group approach, which allows us…
Tensor network formulation for two-dimensional lattice Wess-Zumino model
Daisuke Kadoh, Yoshinobu Kuramashi, Yoshifumi Nakamura +3
Supersymmetric models with spontaneous supersymmetry breaking suffer from the notorious sign problem in stochastic approaches. By contrast, the tensor network approaches do not hav…
Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group
Yusuke Yoshimura, Yoshinobu Kuramashi, Yoshifumi Nakamura +2
We develop calculational method for fermionic Green functions in the framework of Grassmann higher-order tensor renormalization group. The validity of the method is tested by apply…
Application of tensor network method to two dimensional lattice Wess-Zumino model
Ryo Sakai, Daisuke Kadoh, Yoshinobu Kuramashi +3
We study a tensor network formulation of the two dimensional lattice Wess-Zumino model with Wilson derivatives for both fermions and bosons. The tensor renormalizat…
Higher order tensor renormalization group for relativistic fermion systems
Ryo Sakai, Shinji Takeda, Yusuke Yoshimura
We apply the higher order tensor renormalization group to two and three dimensional relativistic fermion systems on the lattice. In order to perform a coarse-graining of tensor net…