Quantum phases of two-dimensional 
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 gauge theory coupled to single-component fermion matter

Borla, Umberto; Jeevanesan, Bhilahari; Pollmann, Frank; Moroz, Sergej

doi:10.1103/physrevb.105.075132

Cited by 21 publications

(18 citation statements)

References 71 publications

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“…A study of spinless matter fermions coupled to a constrained Z2 lattice gauge theory on a triangular ladder is presented. The triangular unit cell and the ladder geometry strongly modify the physics, as compared to previous analysis on the square lattice 1 . In the static case, the even and odd gauge theories for the empty and filled ladder are identical.…”

mentioning

confidence: 74%

“…The order of the discussion follows closely the one considered in ref. 1 . Despite this, the resulting behavior of the SFIGT in the present study will deviate significantly from that reference.…”

Section: Resultsmentioning

confidence: 99%

“…Next, several symmetries relevant for model ( 1) and its operators are collected. All of them have been listed in the literature 1,5,51,56 . First, the action of the Z 2 generator on the fermions is G r c…”

Section: The Modelmentioning

confidence: 99%

“…Second, both, the Hamiltonian and Gauß law are invariant under time inversion, which is the identity for all spinless fermion creation (destruction) operators and Pauli matrices, except for σ y b , which under complex conjugation changes sign, i.e., σ y b → −σ y b . As compared to versions of the model (1) on bipartite lattices 1,51,56 , the fermionic matter of Eq. ( 2) on the triangular ladder is not particle-hole symmetric, at any µ.…”

Section: The Modelmentioning

confidence: 99%

“…In line with these general developments, lattice IGTs, constrained or unconstrained, and minimally coupled to either free fermions 1,[48][49][50][51][52][53][54][55] , the Hubbard model 56,57 , or composite fermions 58 , are currently experiencing an upsurge of attention. The phases of these models are very diverse.…”

Section: Introductionmentioning

confidence: 99%

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Spinless fermions in a $\mathbb{Z}_{2}$ gauge theory on the triangular ladder

Brenig

2022

Preprint

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confidence: 74%

Section: Resultsmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spinless fermions in a $\mathbb{Z}_{2}$ gauge theory on the triangular ladder

Brenig

2022

Preprint

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Realistic scheme for quantum simulation of $${{\mathbb{Z}}}_{2}$$ lattice gauge theories with dynamical matter in (2 + 1)D

et al. 2023

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Gauge fields coupled to dynamical matter are ubiquitous in many disciplines of physics, ranging from particle to condensed matter physics, but their implementation in large-scale quantum simulators remains challenging. Here we propose a realistic scheme for Rydberg atom array experiments in which a $${{\mathbb{Z}}}_{2}$$ Z 2 gauge structure with dynamical charges emerges on experimentally relevant timescales from only local two-body interactions and one-body terms in two spatial dimensions. The scheme enables the experimental study of a variety of models, including (2 + 1)D $${{\mathbb{Z}}}_{2}$$ Z 2 lattice gauge theories coupled to different types of dynamical matter and quantum dimer models on the honeycomb lattice, for which we derive effective Hamiltonians. We discuss ground-state phase diagrams of the experimentally most relevant effective $${{\mathbb{Z}}}_{2}$$ Z 2 lattice gauge theories with dynamical matter featuring various confined and deconfined, quantum spin liquid phases. Further, we present selected probes with immediate experimental relevance, including signatures of disorder-free localization and a thermal deconfinement transition of two charges.

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Synthetic $${{\mathbb{Z}}}_{2}$$ gauge theories based on parametric excitations of trapped ions

Bǎzǎvan,

Saner,

Tirrito

et al. 2024

Commun Phys

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Resource efficient schemes for the quantum simulation of lattice gauge theories can benefit from hybrid encodings of gauge and matter fields that use the native degrees of freedom, such as internal qubits and motional phonons in trapped-ion devices. We propose to use a parametric scheme to induce a tunneling of the phonons conditioned to the internal qubit state which, when implemented with a single trapped ion, corresponds to a minimal $${{\mathbb{Z}}}_{2}$$ Z 2 gauge theory. To evaluate the feasibility of this scheme, we perform numerical simulations of the state-dependent tunneling using realistic parameters, and identify the leading sources of error in future experiments. We discuss how to generalize this minimal case to more complex settings by increasing the number of ions, moving from a single link to a $${{\mathbb{Z}}}_{2}$$ Z 2 plaquette, and to an entire $${{\mathbb{Z}}}_{2}$$ Z 2 chain. We present analytical expressions for the gauge-invariant dynamics and the corresponding confinement, which are benchmarked using matrix product state simulations.

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Quantum phases of two-dimensional Z2 gauge theory coupled to single-component fermion matter

Cited by 21 publications

References 71 publications

Spinless fermions in a $\mathbb{Z}_{2}$ gauge theory on the triangular ladder

Spinless fermions in a $\mathbb{Z}_{2}$ gauge theory on the triangular ladder

Realistic scheme for quantum simulation of $${{\mathbb{Z}}}_{2}$$ lattice gauge theories with dynamical matter in (2 + 1)D

Synthetic $${{\mathbb{Z}}}_{2}$$ gauge theories based on parametric excitations of trapped ions

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