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2D Hubbard model in optical lattices

Student: Aleksei Zotov

Supervisor: Evgeni Burovski

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Control Systems and Data Processing in Engineering (Master)

Final Grade: 8

Year of Graduation: 2018

The purpose of this work is to make method of thermometry for the quantitative description of the experiment. The results for two different models (Hubbard and Heisenberg) were analyzed, comparison of simulation results on lattices of different configurations (square and special, more detail in the practical part of the work) was carried out. In the course of the work, the dependence of the correlation length on temperature was obtained, the temperature dependence of the spin correlator at the nearest sites (is an experimentally observed value and can be directly compared with experiment), and also staggered magnetization.

Full text (added May 15, 2018)

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