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Quantum circuit for $\mathbb{Z}_3$ lattice gauge theory at nonzero baryon density

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arxiv 2409.17349 v2 pith:BFOJS6YB submitted 2024-09-25 hep-lat quant-ph

classification hep-latquant-ph
keywords gaugequantumtheorylatticebaryondensitymathbbnonzero
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

$\mathbb{Z}_3$ lattice gauge theory is the simplest discrete gauge theory with three-quark bound states, i.e., baryons. Since it has a finite-dimensional Hilbert space, it can be used for testing quantum simulation of lattice gauge theory at nonzero baryon density. We discuss global and local gauge symmetries and their importance in quantum simulation. We perform quantum emulator calculation and demonstrate how to study the ground state property of baryonic matter.

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Cited by 2 Pith papers

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

  1. Onset of Bjorken Flow in Quantum Evolution of the Massive Schwinger Model

    hep-ph 2025-09 conditional novelty 6.0 of 10

    In the 1+1D massive Schwinger model, tensor network simulation of a localized excitation reveals Bjorken-like hydrodynamic flow for small fermion mass, but not for large mass.

  2. Quantum thermalization of Quark-Gluon Plasma

    hep-ph 2024-12 conditional novelty 6.0 of 10

    In a 1+1D Schwinger model, strong-coupling quark Wigner functions thermalize to quantum statistical averages, while weak-coupling scalar and axial components do not because of many-body scars, and the θ-vacuum angle c...

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