Green function simulation of Hamiltonian lattice models with stochastic reconfiguration
نویسندگان
چکیده
منابع مشابه
Green Function Simulation of Hamiltonian Lattice Models with Stochastic Reconfiguration
We apply a recently proposed Green Function Monte Carlo to the study of Hamiltonian lattice gauge theories. This class of algorithms computes quantum vacuum expectation values by averaging over a set of suitable weighted random walkers. By means of a procedure called Stochastic Reconfiguration the long standing problem of keeping fixed the walker population without a priori knowledge on the gro...
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A new method for the stabilization of the sign problem in the Green Function Monte Carlo technique is proposed. The method is devised for real lattice Hamiltonians and is based on an iterative ”stochastic reconfiguration” scheme which introduces some bias but allows a stable simulation with constant sign. The systematic reduction of this bias is in principle possible. The method is applied to t...
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A recent technique, proposed to alleviate the ‘‘sign problem disease,’’ is discussed in detail. As is well known, the ground state of a given Hamiltonian H can be obtained by applying the propagator e to a trial wave function cT and sampling statistically the state ct5e cT for large imaginary time t . However, the sign problem may appear in the simulation and such statistical propagation would ...
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A recent technique, proposed to alleviate the “sign problem disease”, is discussed in details. As well known the ground state of a given Hamiltonian H can be obtained by applying the imaginary time propagator e−Hτ to a given trial state ψT for large imaginary time τ and sampling statistically the propagated state ψτ = e ψT . However the so called “sign problem” may appear in the simulation and ...
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We discuss the Donsker-Varadhan theory of large deviations in the framework of Hamiltonian systems thermostated by a Gaussian stochastic coupling. We derive a general formula for the Donsker-Varadhan large deviation functional for dynamics which satisfy natural properties under time reversal. Next, we discuss the characterization of the stationary states as the solution of a variational princip...
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ژورنال
عنوان ژورنال: The European Physical Journal C
سال: 2000
ISSN: 1434-6044,1434-6052
DOI: 10.1007/s100520000330