Improvement in the negative-sign problem in numerical calculations of a quantum spin system.
نویسنده
چکیده
We propose new approach to numerical study of quantum spin systems. Our method is based on a fact that one can use any set of states for the path integral as long as it is complete. We apply our method to one-dimensional quantum spin system with next-to-nearest neighbor interactions. We found remarkable improvement in negative sign problem.
منابع مشابه
M ay 1 99 6 A new approach to significantly reduce the negative sign problem in quantum Monte
We present a new approach for Monte Carlo simulations of quantum spin systems which is able to strongly reduce the negative sign problem. Its efficiency is tested on a simple 2-dimensional fermionic model for which we show that our algorithm eliminates the sign problem. The investigation of quantum spin systems is important for understanding the physics related to strongly correlated electrons ...
متن کاملFormulation and Application of Quantum Monte Carlo Method to Fractional Quantum Hall Systems
Quantum Monte Carlo method is applied to fractional quantum Hall systems. The use of the linear programming method enables us to avoid the negative-sign problem in the Quantum Monte Carlo calculations. The formulation of this method and the technique for avoiding the sign problem are described. Some numerical results on static physical quantities are also reported.
متن کامل1 7 M ay 1 99 6 A new approach to significantly reduce the negative sign problem in quantum Monte
We present a new approach for Monte Carlo simulations of lattice quantum spin systems which is able to eliminate the negative sign problem. Its complexity is linear in the volume of the lattice. Its efficiency is tested on a simple 2-dimensional fermionic model. The investigation of quantum spin systems is important for understanding the physics related to strongly correlated electrons and high...
متن کاملImaginary polarization as a way to surmount the sign problem in ab initio calculations of spin-imbalanced Fermi gases.
From ultracold atoms to quantum chromodynamics, reliable ab initio studies of strongly interacting fermions require numerical methods, typically in some form of quantum Monte Carlo calculation. Unfortunately, (non)relativistic systems at finite density (spin polarization) generally have a sign problem, such that those ab initio calculations are impractical. It is well-known, however, that in th...
متن کاملv 1 2 2 M ay 1 99 6 Suppression of the negative sign problem in quantum Monte
We present a new Monte Carlo algorithm for simulating quantum spin systems which is able to suppress the negative sign problem. This algorithm has only a linear complexity in the lattice size used for the simulation. A general description and a rigorous proof of its correctness is given. Its efficiency is tested on a simple 2-dimensional fermionic model. For this model we show that our algorith...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. B, Condensed matter
دوره 49 5 شماره
صفحات -
تاریخ انتشار 1994