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Stabilizing lattice gauge theories through simplified local pseudo generators

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arxiv 2108.02203 v2 pith:YHNESA37 submitted 2021-08-04 cond-mat.quant-gas cond-mat.str-elhep-latquant-ph

Stabilizing lattice gauge theories through simplified local pseudo generators

Jad C. Halimeh , Lukas Homeier , Christian Schweizer , Monika Aidelsburger , Philipp Hauke , Fabian Grusdt This is my paper
classification cond-mat.quant-gas cond-mat.str-elhep-latquant-ph
keywords gaugeexperimentalinvariancelatticelocaltheoriesgeneratorsmodern
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors in such devices require gauge invariance to be enforced for faithful quantum simulation of gauge-theory physics. This poses major experimental challenges, in large part due to the complexity of the gauge-symmetry generators. Here, we show that gauge invariance can be reliably stabilized by employing simplified \textit{local pseudogenerators} designed such that within the physical sector they act identically to the actual local generator. Dynamically, they give rise to emergent exact gauge theories up to timescales polynomial and even exponential in the protection strength. This obviates the need for implementing often complex multi-body full gauge symmetries, thereby further reducing experimental overhead in physical realizations. We showcase our method in the $\mathbb{Z}_2$ lattice gauge theory, and discuss experimental considerations for its realization in modern ultracold-atom setups.

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Cited by 2 Pith papers

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  1. Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories

    quant-ph 2025-11 conditional novelty 6.0

    Gauss's law constraints in jmax=1/2 SU(2) lattice gauge theory are converted into stabilizer codes that correct single-qubit errors using about 9N or 12N physical qubits per N plaquettes.

  2. Dynamics of entanglement entropy for a locally monitored lattice gauge theory

    quant-ph 2026-03 reject novelty 5.0

    Local projective measurements of electric flux and mass density in a 1+1D Z2 gauge theory yield size-independent late-time entanglement saturation, indicating no measurement-induced phase transition in the no-click limit.