Odd-Particle Systems in the Shell Model Monte Carlo Method: Circumventing a Sign Problem

Abhishek Mukherjee and Y. Alhassid
Phys. Rev. Lett. 109, 032503 – Published 17 July 2012

Abstract

The shell model Monte Carlo method is a powerful technique to calculate thermal and ground-state properties of strongly correlated finite-size systems. However, its application to odd-particle-number systems has been hampered by the sign problem that originates from the projection on an odd number of particles. We circumvent this sign problem for the ground-state energy by extracting the ground-state energy of the odd-particle-number system from the asymptotic behavior of the imaginary-time single-particle Green’s function of the even-particle-number system. We apply this method to calculate pairing gaps of nuclei in the iron region. Our results are in good agreement with experimental pairing gaps.

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  • Received 17 January 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.032503

© 2012 American Physical Society

Authors & Affiliations

Abhishek Mukherjee and Y. Alhassid

  • Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA

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Vol. 109, Iss. 3 — 20 July 2012

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