Analysis of nonlinear dynamics in a classical transmon circuit
1University of Oulu, Faculty of Science, Physics
|Online Access:||PDF Full Text (PDF, 1.2 MB)|
|Persistent link:|| http://urn.fi/URN:NBN:fi:oulu-201711223138
|Publish Date:|| 2017-11-22
|Thesis type:||Bachelor's thesis
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.
© Sasu Tuohino, 2017. This publication is copyrighted. You may download, display and print it for your own personal use. Commercial use is prohibited.