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Quantum annealing of the one-dimensional open quantum many-body systems

Oshiyama Hiroki 東北大学

2020.03.25

概要

In this thesis, we study quantum annealing in the presence of coupling to the external environment, motivated by a recent development in the experimental devices of the quantum annealing. Such real quantum systems are inevitably open to its environment. We design a novel numerical method to analyze a model of the real device which is hard to solve for conventional methods. Using newly developed method, we investigate the thermalization phenomena and non-equilibrium dynamics of the quantum annealing in the open systems.

In this chapter, we first explain the quantum annealing algorithm and two basic topics of slow quantum quenches that are closely related to the quantum annealing. We next give a brief overview of the experimental devices of the quantum annealing made by D-Wave Systems. We then explain the effective Hamiltonian of the open quantum system which describes the experimental devices, and then review the previous theoretical studies on it. Finally, we explain the purpose and outline of this thesis.

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