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Theoretical Nonlinear and Quantum Optics Ray-Kuang Lee Department of Physics, National TsingHua University, Hsinchu, Taiwan Institute of Photonics Technologies, National TsingHua University, Hsinchu, Taiwan * [email protected] Counter-intuitive pictures of waves are predicted both in the classical and quantum worlds. In contrast to the wellknown circular-symmetric transverse mode, diffraction limit behavior, and presumably superfluid order parameter, the existences of light are demonstrated with crescent waves [1], chaotic optical cavities [2], patterns [3], quantum entangled solitons [4] and Mott-insulator quantum phase [5]. Possible applications to study the concepts and methods in the condensed matter physics and quantum information processing based on these exotic light would also be addressed. References: [1] Chandroth P. Jisha, YuanYao Lin, Tsin-Dong Lee, and RKL*, "Crescent waves in optical cavities," Phys. Rev. Lett. 107, 183902 (2011). [2] Tsin-Dong Lee, Chih-Yao Chen, YuanYao Lin, Ming-Chiu Chou, Te-ho Wu, and RKL*, "Surface-structureassisted chaotic mode lasing in vertical cavity surface emission lasers," Phys. Rev. Lett. 101, 084101 (2008). [3] Chien-Chung Jeng, YuanYao Lin, Ray-Ching Hong, and RKL*, "Optical pattern transition from modulation to transverse instabilities in photorefractive crystals," Phys. Rev. Lett. 102, 153905 (2009). [4] Yinchieh Lai and RKL*, "Entangled quantum nonlinear Schrodinger solitons," Phys. Rev. Lett. 103, 013902 (2009). [5] Soi-Chan Lei and RKL*, "Quantum phase transitions of light for an arbitrary number of two-level atoms," selected as Optics in 2008, Optics & Photonics News Dec. 44 (2008).