Quantum Phase Transition and Nonlinear Effects in Optical Cavities

光共振腔量子相變與非線性效應

李瑞珍(Soi-Chan Lei)

指導教授 ： 李瑞光

國立清華大學/理學院/物理學系/博士(2010年)

https://doi.org/10.6843/NTHU.2010.00320

摘要

In this dissertation, we study the ultra-cold atomic many-body quantum phenomena in a quantum cavity. In this study of atom-light interaction, the ground state energy spectra of two-level atoms in a three-dimensional photonic crystal resonant cavity at absolute zero are calculated. We theoretically predict the reversible phenomenon of the quantum phase transition from Mott insulator to superuid and
also extended it to two atomic species systems. In this study of atom-atom interaction, we find out the analytical solution for steady-state of a Bose-Einstein condensate through pure mathematical analysis. Current experiments can conduct this measurement. These theories, if further developed, will be very useful for the successful development of a quantum computer chip.

關鍵字

Quantum Phase Transitions ； Nonlinear Effects ； Optical Cavities

參考文獻

[1] S. Sachdev, "Quantum Phase Transitions," Cambridge University Press,

Bosonic Atoms in Optical Lattices," Phys. Rev. Lett. 81, 3108 (1998).

localization and the superuid-insulator transition," Phys. Rev. B 40, 546

[4] F. Illuminati, "Light does matter," Nature Physics 2, 803 (2006).

[6] Y. Yamamoto and A. Imamogln, "Mesoscopic Quantum Optics," Wiley, New