Real-time lattice Hamiltonian simulation of a three-particle Ising field theory suppresses Umklapp processes and produces relativistic hydrodynamics sound modes, extracting ζ/s=14.19±0.90 and c_s/c=0.76±0.02 at T≈7.14.
Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
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abstract
We test the eigenstate thermalization hypothesis (ETH) in 1+1-dimensional SU(2) lattice gauge theory (LGT) with one flavor of dynamical fermions. Using the loop-string-hadron framework of the LGT with a bosonic cut-off, we exactly diagonalize the Hamiltonian for finite size systems and calculate matrix elements (MEs) in the eigenbasis for both local and non-local operators. We analyze different indicators to identify the parameter space for quantum chaos at finite lattice sizes and investigate how the ETH behavior emerges in both the diagonal and off-diagonal MEs. Our investigations allow us to study various time scales of thermalization and the emergence of random matrix behavior, and highlight the interplays of the several diagnostics with each other. Furthermore, from the off-diagonal MEs, we extract a smooth function that is closely related to the spectral function for both local and non-local operators. We find numerical evidence of the spectral gap and the memory peak in the non-local operator case. Finally, we investigate aspects of subsystem ETH in the lattice gauge theory and identify certain features in the subsystem reduced density matrix that are unique to gauge theories.
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hep-lat 3years
2026 3roles
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A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diagonalization.
Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.
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Tame the Umklapp Processes in Real-Time Lattice Simulation for Hydrodynamics: An Ising Field Theory Study
Real-time lattice Hamiltonian simulation of a three-particle Ising field theory suppresses Umklapp processes and produces relativistic hydrodynamics sound modes, extracting ζ/s=14.19±0.90 and c_s/c=0.76±0.02 at T≈7.14.
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Photonic Analog Quantum Simulation of (1+1)-Dimensional $U(1)$ Lattice Gauge Theory with Dynamical Matter
A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diagonalization.
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Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.