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20152026
most citedGauge-invariant implementation of the Abelian Higgs model on optical lattices

119 citations · 370 across the 17 of their papers we have counts for

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hep-lat2023

Symmetry Breaking in an Extended O(2) Model

Leon Hostetler, Ryo Sakai, Jin Zhang +2

Motivated by attempts to quantum simulate lattice models with continuous Abelian symmetries using discrete approximations, we study an extended-O(2) model in two dimensions that di…

hep-lat2022

Symmetry Breaking in an Extended-O(2) Model

Leon Hostetler, Ryo Sakai, Jin Zhang +3

Motivated by attempts to quantum simulate lattice models with continuous Abelian symmetries using discrete approximations, we consider an extended-O(2) model that differs from the…

hep-lat2021

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…

hep-lat2021

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…

hep-lat2021★ 16 cited

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…

hep-lat2018★ 53 cited

Universal features of the Abelian Polyakov loop in 1+1 dimension

Judah Unmuth-Yockey, Jin Zhang, Alexei Bazavov +2

We show that the Polyakov loop of the two-dimensional lattice Abelian Higgs model can be calculated using the tensor renormalization group approach. We check the accuracy of the re…

hep-lat2018★ 97 cited

Quantum simulation of the universal features of the Polyakov loop

Jin Zhang, J. Unmuth-Yockey, J. Zeiher +3

Lattice gauge theories are fundamental to our understanding of high-energy physics. Nevertheless, the search for suitable platforms for their quantum simulation has proven difficul…

hep-lat2017★ 20 cited

Estimating the central charge from the Rényi entanglement entropy

A. Bazavov, Y. Meurice, S. -W. Tsai +3

We calculate the von Neumann and Rényi bipartite entanglement entropy of the model with a chemical potential on a 1+1 dimensional Euclidean lattice with open and periodic bo…

hep-lat2016★ 3 cited

Tensor RG calculations and quantum simulations near criticality

Y. Meurice, A. Bazavov, Shan-Wen Tsai +3

We discuss the reformulation of the O(2) model with a chemical potential and the Abelian Higgs model on a 1+1 dimensional space-time lattice using the Tensor Renormalization Group…

hep-lat2015

Effective action for the Abelian-Higgs model for a gauge-invariant implementation on optical lattices

Alexei Bazavov, Yannick Meurice, Shan-Wen Tsai +2

We present a gauge-invariant effective action for the Abelian-Higgs model in 1+1 dimensions. It is constructed by integrating out the gauge field and then using the hopping paramet…

hep-lat2015★ 119 cited

Gauge-invariant implementation of the Abelian Higgs model on optical lattices

Alexei Bazavov, Yannick Meurice, Shan-Wen Tsai +2

We present a gauge-invariant effective action for the Abelian Higgs model (scalar electrodynamics) with a chemical potential on a 1+1 dimensional lattice. This formulation prov…