University of Oulu

Parity symmetry-breaking phase transition in a nonlinear Rabi-Hubbard lattice

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Author: Pyykkönen, Ari1
Organizations: 1University of Oulu, Faculty of Science, Physics
Format: ebook
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 0.4 MB)
Pages: 59
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Language: English
Published: Oulu : A. Pyykkönen, 2015
Publish Date: 2015-12-10
Thesis type: Master's thesis
Tutor: Thuneberg, Erkki
Tuorila, Jani
Reviewer: Thuneberg, Erkki
Tuorila, Jani
Lattices consisting of cavity QED and circuit QED elements have come under focus as a platform for studying several novel quantum phenomena. In particular, a lattice of Rabi systems described by the Rabi-Hubbard model is expected to display a new Z2 parity symmetry-breaking phase transition of light between a Rabi insulator and a delocalized superradiant phase. In this thesis, we examine a superconducting circuit called the artificial trapped ion as a means to realize a nonlinear Rabi-Hubbard lattice. We use mean field theory and second-order perturbation theory to derive an expression for the boundary of the phase transition and calculate it numerically. We show that nonlinearity in the light-matter coupling results in nontrivial behavior for the phase boundary, in the form of a peak arising at a certain strength of the nonlinearity. We also see a behavior of oscillation followed by saturation as the nonlinearity increases.
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Copyright information: © Ari Pyykkönen, 2015. This publication is copyrighted. You may download, display and print it for your own personal use. Commercial use is prohibited.