Dynamical Local Tadpole-Improvement in Quantum Simulations of Gauge Theories

• URL: http://arxiv.org/abs/2504.21575v1
• Date: Wed, 30 Apr 2025 12:26:32 GMT
• Title: Dynamical Local Tadpole-Improvement in Quantum Simulations of Gauge Theories
• Authors: Marc Illa, Martin J. Savage, Xiaojun Yao,
• Abstract summary: We identify a new element in quantum simulations of lattice gauge theories, arising from spacetime-dependent quantum corrections.<n>We present the results of numerical simulations of the time evolution of truncated SU(2) plaquette chains and honeycomb lattices in 2+1D.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We identify a new element in quantum simulations of lattice gauge theories, arising from spacetime-dependent quantum corrections in the relation between the link variables defined on the lattice and their continuum counterparts. While in Euclidean spacetime simulations, based on Monte Carlo sampling, the corresponding tadpole improvement leads to a constant rescaled value per gauge configuration, in Minkowski spacetime simulations it requires a state- and time-dependent update of the coefficients of operators involving link variables in the Hamiltonian. To demonstrate this effect, we present the results of numerical simulations of the time evolution of truncated SU(2) plaquette chains and honeycomb lattices in 2+1D, starting from excited states with regions of high energy density, and with and without entanglement.

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