Thursday, October 09, 200812:30 PM - 1:30 PMPLEASE NOTE: T-DO Conference Room|
Quantum Institute Seminar Series: Quantum cavity method for Ising models in transverse field
Florent KrzakalaESPCI 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.