Mean-field Monte Carlo method for many-body ground states
A method is described for calculating the exact ground state energy of a many-body system, whether fermion or boson. The Hubbard-Stratonovich representation of the imaginary-time many-body propagator is used to express the ground-state energy as a ratio of two functional integrals. When discretized on a space-time mesh, the Monte-Carlo evaluation of this ratio is equivalent to many TDHF evolutions of the system in a random mean-field. The method is illustrated by application to a many-boson system in one dimension with a zero-range two-body interaction.
KeywordsFermion System Initial Relaxation Exact Ground State Energy Spatial Grid Fine Strong Repulsive Core
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