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Thursday, October 09, 2008
12:30 PM - 1:30 PM
PLEASE NOTE: T-DO Conference Room

Seminar

Quantum Institute Seminar Series: Quantum cavity method for Ising models in transverse field

Florent Krzakala
ESPCI ParisTech

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.