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Floquet approach to $\mathbb{Z}_{2}$ lattice gauge theories with ultracold atoms in optical lattices

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arxiv 1901.07103 v2 pith:2BLBNTKX submitted 2019-01-21 cond-mat.quant-gas cond-mat.str-el

Christian Schweizer , Fabian Grusdt , Moritz Berngruber , Luca Barbiero , Eugene Demler , Nathan Goldman , Immanuel Bloch , Monika Aidelsburger This is my paper · ORCID
classification cond-mat.quant-gascond-mat.str-el
keywords gaugelatticetheoriesfloquetmathbbpotentialatomshamiltonian
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Quantum simulation has the potential to investigate gauge theories in strongly-interacting regimes, which are up to now inaccessible through conventional numerical techniques. Here, we take a first step in this direction by implementing a Floquet-based method for studying $\mathbb{Z}_2$ lattice gauge theories using two-component ultracold atoms in a double-well potential. For resonant periodic driving at the on-site interaction strength and an appropriate choice of the modulation parameters, the effective Floquet Hamiltonian exhibits $\mathbb{Z}_2$ symmetry. We study the dynamics of the system for different initial states and critically contrast the observed evolution with a theoretical analysis of the full time-dependent Hamiltonian of the periodically-driven lattice model. We reveal challenges that arise due to symmetry-breaking terms and outline potential pathways to overcome these limitations. Our results provide important insights for future studies of lattice gauge theories based on Floquet techniques.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Digital quantum simulation of many-body systems: Making the most of intermediate-scale, noisy quantum computers

    quant-ph 2025-08 conditional novelty 6.0 of 10

    A NISQ quantum simulation thesis whose flagship results are a Kibble-Zurek benchmark running 1396 two-qubit gates on 133 qubits, a partial probabilistic error amplification scheme for open-system dynamics, and two pha...

  2. Effects of monitoring on entanglement dynamics for $1+1$D $\mathbb Z_2$ lattice gauge theory

    quant-ph 2026-03 conditional novelty 5.0 of 10

    In the no-click limit, both local and non-local monitoring of a 1+1D Z2 lattice gauge theory produce late-time entanglement saturation values that are independent of system size, giving no evidence of a measurement-in...

  3. Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors

    hep-lat 2026-02 reject novelty 5.0 of 10

    A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.

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