A Quantum Monte Carlo method at fixed energy
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Farhi_A quantum.pdf
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Author(s)
Farhi, Edward
Goldstone, Jeffrey
Gosset, David
Meyer, Harvey B.
Date Issued
April 2011
Journal
Computer Physics Communications
Publisher
Elsevier
Citation
Farhi, Edward, Jeffrey Goldstone, David Gosset, and Harvey B. Meyer. “A Quantum Monte Carlo Method at Fixed Energy.” Computer Physics Communications 182, no. 8 (August 2011): 1663–1673.
Version
Author's final manuscript
Abstract
In this paper we explore ways to study the zero temperature limit of quantum statistical mechanics using Quantum Monte Carlo simulations. We develop a Quantum Monte Carlo method in which one fixes the ground state energy as a parameter. The Hamiltonians we consider are of the form H = H[subscript 0] + λV with ground state energy E. For fixed H[subscript 0] and V, one can view E as a function of λ whereas we view λ as a function of E. We fix E and define a path integral Quantum Monte Carlo method in which a path makes no reference to the times (discrete or continuous) at which transitions occur between states. For fixed E we can determine λ(E) and other ground state properties of H.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-NoDerivatives
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DOI of Published Version
https://doi.org/10.1016/j.cpc.2011.04.021
