141 citations · 919 across the 47 of their papers we have counts for
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Solving fermion problems without solving the sign problem: symmetry-breaking wave functions from similarity-transformed propagators for solving 2D quantum dots
Siu A. Chin
It is well known that the use of the primitive second-order propagator in Path Integral Monte Carlo calculations of many-fermion systems leads to the sign problem. In this work, we…
The hardwall method of solving the radial Schrödinger equation and unmasking hidden symmetries
Siu A. Chin, John Massey
Solving for the bound state eigenvalues of the Schrödinger equation is a tedious iterative process when the conventional shooting or matching method is used. In this work, we bypas…
High-order Path Integral Monte Carlo methods for solving quantum dot problems
Siu A. Chin
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 anti-symmetric f…
Extrapolated High-Order Propagators for Path Integral Monte Carlo Simulations
Robert E. Zillich, Johannes M. Mayrhofer, Siu A. Chin
We present a new class of high-order imaginary time propagators for path-integral Monte Carlo simulations by subtracting lower order propagators. By requiring all terms of the extr…
Higher-order splitting algorithms for solving the nonlinear Schrödinger equation and their instabilities
Siu A. Chin
Since the kinetic and the potential energy term of the real time nonlinear Schrödinger equation can each be solved exactly, the entire equation can be solved to any order via split…
Forward and non-forward symplectic integrators in solving classical dynamics problems
Siu A. Chin
Forward time step integrators are splitting algorithms with only positive splitting coefficients. When used in solving physical evolution equations, these positive coefficients cor…