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Perturbative quantum Monte Carlo method for nuclear physics
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Perturbative quantum Monte Carlo method for nuclear physics
abstract
While first order perturbation theory is routinely used in quantum Monte Carlo (QMC) calculations, higher-order terms present significant numerical challenges. We present a new approach for computing perturbative corrections in projection QMC calculations. We demonstrate the method by computing nuclear ground state energies up to second order for a realistic chiral interaction. We calculate the binding energies of several light nuclei up to $^{16}$O by expanding the Hamiltonian around the Wigner SU(4) limit and find good agreement with data. In contrast to the natural ordering of the perturbative series, we find remarkably large second order energy corrections. This occurs because the perturbing interactions break the symmetries of the unperturbed Hamiltonian. Our method is free from the sign problem and can be applied to QMC calculations for many-body systems in nuclear physics, condensed matter physics, ultracold atoms, and quantum chemistry.
Forward citations
Cited by 3 Pith papers
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From binding and saturation to criticality in nuclear matter with lattice effective field theory
Improved leading-order lattice Hamiltonians lower the liquid-gas critical temperature of symmetric nuclear matter to 13.50(17)-13.71(19) MeV while improving zero-temperature binding energies and saturation point.
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Searching for the Tetraneutron Resonance on the Lattice
Lattice EFT calculations find no resonance signature in the tetraneutron ground-state energy, only a weak attraction in the dineutron-dineutron phase shift whose confined energy is close to the experimental low-energy peak.
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Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.
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