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Center for Nonlinear Studies |
When studying classical Ising systems, two tools are often very useful: the heat-bath Monte-Carlo simulations that allows to obtain precise results for a given model, and the so called Bethe-Peierls mean field approximation, that has been generalized recently for disordered models to the cavity method, that gives useful analytical hint to the behavior of the system.
In this talk, I will discuss a way that allow to generalize these two tools to quantum spin-1/2 models in a transverse field using the
continuous time Suzuki-Trotter representation. An efficient and general heat-bath quantum Monte-Carlo scheme will be proposed, and the
cavity method will be applied on the Bethe lattice ferromagnet in a transverse field.