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
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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