Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme

Details Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme

2010-03-19

arxiv.org/abs/1003.3696v3

Physical Review E 82, 046710 (2010)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevE.82.046710

We provide an extension to lattice systems of the reptation quantum Monte Carlo algorithm, originally devised for continuous Hamiltonians. For systems affected by the sign problem, a method to systematically improve upon the so-called fixed-node approximation is also proposed. The generality of the method, which also takes advantage of a canonical worm algorithm scheme to measure off-diagonal observables, makes it applicable to a vast variety of quantum systems and eases the study of their ground-state and excited-states properties. As a case study, we investigate the quantum dynamics of the one-dimensional Heisenberg model and we provide accurate estimates of the ground-state energy of the two-dimensional fermionic Hubbard model.

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