University of Oulu

Analysis of nonlinear dynamics in a classical transmon circuit

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Author: Tuohino, Sasu1
Organizations: 1University of Oulu, Faculty of Science, Physics
Format: ebook
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 1.2 MB)
Persistent link: http://urn.fi/URN:NBN:fi:oulu-201711223138
Language: English
Published: Oulu : S. Tuohino, 2017
Publish Date: 2017-11-22
Physical Description: 31 p.
Thesis type: Bachelor's thesis
Description:

Abstract

The focus of this thesis is on classical dynamics of a transmon qubit. First, we introduce the basic concepts of the classical circuit analysis and use this knowledge to derive the Lagrangians and Hamiltonians of an LC circuit, a Cooper-pair box, and ultimately we derive Hamiltonian for a transmon qubit. The transmon Hamiltonian is used to derive the equations of motion and also the meaning of these equations is discussed. Finally, the thesis is ended with some numerical results for the transmon equations of motion with a brief interpretation included.

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Copyright information: © Sasu Tuohino, 2017. This publication is copyrighted. You may download, display and print it for your own personal use. Commercial use is prohibited.