High-order path-integral Monte Carlo methods for solving quantum dot problems. Academic Article uri icon

abstract

  • The conventional second-order path-integral Monte Carlo method is plagued with the sign problem in solving many-fermion systems. This is due to the large number of antisymmetric free-fermion propagators that are needed to extract the ground state wave function at large imaginary time. In this work we show that optimized fourth-order path-integral Monte Carlo methods, which use no more than five free-fermion propagators, can yield accurate quantum dot energies for up to 20 polarized electrons with the use of the Hamiltonian energy estimator.

author list (cited authors)

  • Chin, S. A.

complete list of authors

  • Chin, Siu A

publication date

  • January 1, 2007 11:11 AM