PMID: 22587207May 17, 2012Paper

Excitation gap from optimized correlation functions in quantum Monte Carlo simulations

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Itay Hen

Abstract

We give a prescription for finding optimized correlation functions for the extraction of the gap to the first excited state within quantum Monte Carlo simulations. We demonstrate that optimized correlation functions provide a more accurate reading of the gap when compared to other "nonoptimized" correlation functions and are generally characterized by considerably larger signal-to-noise ratios. We also analyze the cost of the procedure and show that it is not computationally demanding. We illustrate the effectiveness of the proposed procedure by analyzing several exemplary many-body systems of interacting spin-1/2 particles.

References

Jan 23, 1989·Physical Review Letters·U Wolff
Nov 9, 1992·Physical Review Letters·S R White
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olav F Syljuåsen, Anders W Sandvik
Nov 13, 2008·Physical Review Letters·A P YoungV N Smelyanskiy
Apr 7, 2010·Physical Review Letters·A P YoungV N Smelyanskiy
Aug 23, 2011·International Journal of Health Care Finance and Economics·Pinar Karaca-MandicCharles E Phelps
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Itay Hen, A P Young

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Citations

Jan 20, 2018·Physical Review. E·Tameem AlbashItay Hen
Apr 23, 2017·Scientific Reports·Brian Hu ZhangItay Hen

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