Embedding generalized thimble HMC into worldvolume HMC improves ergodicity and phase-space exploration for sign-problem mitigation in 2D doped Hubbard model simulations, enabling larger lattices and controlled extrapolations.
Worldvolume approach to the te mpered Lefschetz thimble method,
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WV-HMC successfully simulates the doped 2D Hubbard model on 8x8 lattices at U/t=8 and T/t≈0.156 with controlled statistical errors.
WV-HMC computes number and energy densities for the doped 2D Hubbard model on 6x6 and 8x8 lattices at U/t=8 and T/t≈0.156, showing effectiveness where standard DQMC fails.
A review of lattice QCD findings on the finite-temperature QCD transition at zero baryon chemical potential, its chiral limit behavior, constraints on the phase boundary and critical endpoint at finite density, plus advances under external fields and conditions.
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Enhancing the ergodicity of Worldvolume HMC via embedding generalized thimble HMC
Embedding generalized thimble HMC into worldvolume HMC improves ergodicity and phase-space exploration for sign-problem mitigation in 2D doped Hubbard model simulations, enabling larger lattices and controlled extrapolations.
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Analyzing the two-dimensional doped Hubbard model with the Worldvolume HMC method
WV-HMC successfully simulates the doped 2D Hubbard model on 8x8 lattices at U/t=8 and T/t≈0.156 with controlled statistical errors.
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Applying the Worldvolume Hybrid Monte Carlo method to the Hubbard model away from half filling
WV-HMC computes number and energy densities for the doped 2D Hubbard model on 6x6 and 8x8 lattices at U/t=8 and T/t≈0.156, showing effectiveness where standard DQMC fails.
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Lattice QCD at finite temperature and density
A review of lattice QCD findings on the finite-temperature QCD transition at zero baryon chemical potential, its chiral limit behavior, constraints on the phase boundary and critical endpoint at finite density, plus advances under external fields and conditions.