Numerical Methods for Quantum Spin Systems

展也 前島

Tomo Munehisa, Yasuko Munehisa

We propose an approach to the numerical study of quantum spin systems. Our method is based on the fact that one can use any set of states for the path integral as long as it is a complete set. We apply our method to one-dimensional quantum spin systems with next-to-nearest-neighbor interactions. We find significant improvement in the negative-sign problem.

Makoto Kaburagi, Takashi Tonegawa, T. Nishino

Wenxian Zhang, Nikolaos P. Konstantinidis, K. A. Al-Hassanieh +1 more

In this review we discuss approaches to numerical modelling of decoherence by a spin bath. We consider several popular simulation methods, briefly discussing their implementation, and analyse their advantages and drawbacks. Furthermore, we consider application of these methods to several different physical systems, demonstrating how the numerical simulations can help in understanding the details of the decoherence process in quantum spin systems. The discussion of possible interesting directions for further research concludes the review.

David S. Kung

Ling Wang