(Nazarbayev University School of Science and Technology, 2017-04) Baitenov, Adil
In this master thesis, 3 methods of solving of Quantum Ising model have been outlined
and compared, they include ABC. We investigate the entanglement dynamics
and find energy and spin values for 1-dimensional Quantum Ising chain and 2
and 3-dimensional Quantum Ising models. System starts in a paramagnetic regime
and switches to ferromagnetic spin-spin coupling constant J. In this work, we consider
instantaneous (step function) switch, which demonstrates the instantaneous
switch from paramagnetic to ferromagnetic state. Solution of the system is made by
quantum simulation using Microsofts’ Corporations computational simulator called
The Language-Integrated Quantum Operations (LIQUi|>) Simulator, 1/Z expansion
method and Exact Diagonalization method. Accuracy and precision of results of first
two methods are compared with Exact Diagonalization that provides the exact solution
of the system. With that it can be seen to what extent 1/Z expansion method
is applicable for solving of Quantum Ising model.