The seminar “Expansion in large coordination number for the quantum Ising model” by Patrick Navez, Skoltech

1 июня 2017 г.

в 14:00

Аудитория Б-708

НИТУ "МИСиС", Москва, Ленинский проспект, 4Б

Лаборатория "Сверхпроводящие метаматериалы" 

Контактное лицо: Andrei Malishevskii, e-mail:; phone: +7 916 135 03 25


Quantum lattice systems are encountered in many fields of physics:  solid states, ultracold  gases,  quantum  optics,  and  metamaterials.   For  this class  of  systems,  we  establish  a set  of  hierarchy  equations  describing  the  non  equilibrium  time  evolution  of  the  n-site  spatial correlation reduced density matrices and solve it iteratively through a 1/Z expansion where Z is the coordination number.  As an illustration of the powerfulness of this method, we focus on the particular study of quench dynamics of the quantum Ising model. We also show the potentiality of this method to solve the Bose and Fermi-Hubbard model where  the latest is likely to describe the high Tc superconductivity.




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