Z(N) lattice gauge theory in a ladder geometry

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Z(N) lattice gauge theory in a ladder geometry. / Nyhegn, Jens; Chung, Chia-Min; Burrello, Michele.

In: Physical Review Research, Vol. 3, No. 1, 013133, 10.02.2021.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Nyhegn, J, Chung, C-M & Burrello, M 2021, 'Z(N) lattice gauge theory in a ladder geometry', Physical Review Research, vol. 3, no. 1, 013133. https://doi.org/10.1103/PhysRevResearch.3.013133

APA

Nyhegn, J., Chung, C-M., & Burrello, M. (2021). Z(N) lattice gauge theory in a ladder geometry. Physical Review Research, 3(1), [013133]. https://doi.org/10.1103/PhysRevResearch.3.013133

Vancouver

Nyhegn J, Chung C-M, Burrello M. Z(N) lattice gauge theory in a ladder geometry. Physical Review Research. 2021 Feb 10;3(1). 013133. https://doi.org/10.1103/PhysRevResearch.3.013133

Author

Nyhegn, Jens ; Chung, Chia-Min ; Burrello, Michele. / Z(N) lattice gauge theory in a ladder geometry. In: Physical Review Research. 2021 ; Vol. 3, No. 1.

Bibtex

@article{968cb9b8a0564153b25e0f75ef47ba23,
title = "Z(N) lattice gauge theory in a ladder geometry",
abstract = "Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories defined in two-leg ladders. We consider a model that includes both gauge boson and Higgs matter degrees of freedom with local Z(N) gauge symmetries. We study its phase diagram based on both an effective low-energy field theory and density matrix renormalization group simulations. For N >= 5, an extended gapless Coulomb phase emerges, which is separated by a Berezinskii-Kosterlitz-Thouless phase transition from the surrounding gapped phase. Besides the traditional confined and Higgs regimes, we also observe a novel quadrupolar region, originated by the ladder geometry.",
keywords = "EDGE STATES, PHASE, CONFINEMENT, CRITICALITY, FORMULATION, INVARIANCE",
author = "Jens Nyhegn and Chia-Min Chung and Michele Burrello",
year = "2021",
month = feb,
day = "10",
doi = "10.1103/PhysRevResearch.3.013133",
language = "English",
volume = "3",
journal = "Physical Review Research",
issn = "2643-1564",
publisher = "AMER PHYSICAL SOC",
number = "1",

}

RIS

TY - JOUR

T1 - Z(N) lattice gauge theory in a ladder geometry

AU - Nyhegn, Jens

AU - Chung, Chia-Min

AU - Burrello, Michele

PY - 2021/2/10

Y1 - 2021/2/10

N2 - Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories defined in two-leg ladders. We consider a model that includes both gauge boson and Higgs matter degrees of freedom with local Z(N) gauge symmetries. We study its phase diagram based on both an effective low-energy field theory and density matrix renormalization group simulations. For N >= 5, an extended gapless Coulomb phase emerges, which is separated by a Berezinskii-Kosterlitz-Thouless phase transition from the surrounding gapped phase. Besides the traditional confined and Higgs regimes, we also observe a novel quadrupolar region, originated by the ladder geometry.

AB - Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories defined in two-leg ladders. We consider a model that includes both gauge boson and Higgs matter degrees of freedom with local Z(N) gauge symmetries. We study its phase diagram based on both an effective low-energy field theory and density matrix renormalization group simulations. For N >= 5, an extended gapless Coulomb phase emerges, which is separated by a Berezinskii-Kosterlitz-Thouless phase transition from the surrounding gapped phase. Besides the traditional confined and Higgs regimes, we also observe a novel quadrupolar region, originated by the ladder geometry.

KW - EDGE STATES

KW - PHASE

KW - CONFINEMENT

KW - CRITICALITY

KW - FORMULATION

KW - INVARIANCE

U2 - 10.1103/PhysRevResearch.3.013133

DO - 10.1103/PhysRevResearch.3.013133

M3 - Journal article

VL - 3

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 1

M1 - 013133

ER -

ID: 260402977