Quantum Monte Carlo Methods
In the previous section we discussed exact diagonalization studies and concluded that the size of the systems that can be studied are rather limited while complete information on the system can be obtained and the complexity of the Hamiltonian poses no extra problems. A complementary method is the Quantum Monte Carlo method which allows the study of much larger systems (of the order of hundred sites) although the information obtained is more limited and the Hamiltonians so far studied simpler. There is an abundance of methods that have been developed for fermion and spin systems1; here we will only describe two methods, the first because it seems to be the most flexible and presently widely used2–4, the second because it is very recent and the experience on it rather limited5. For the interested reader a very complete technical account of both methods has recently been presented6.
KeywordsPartition Function Projection Method Time Slice Trial Function Monte Carlo Sampling
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