A Quantum Monte Carlo method at fixed energy |
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Authors: | Edward Farhi Jeffrey Goldstone David Gosset Harvey B Meyer |
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Affiliation: | aCenter for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, United States;bPhysics Department, CERN, 1211 Geneva 23, Switzerland |
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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=H0+λV with ground state energy E. For fixed H0 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. |
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Keywords: | Quantum Monte Carlo Quantum spin systems |
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