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In a quantum electrodynamics (QED) system of arrayed two-levelatoms interacting with light, because the energy of the photon is around thespacing between two atomic energy levels, the photon will be absorbed andis not in the propagating mode but the attenuated mode. Our theoretical studyshows that coherent phasing of atomic states occurs when the photons arein the attenuated mode. The existence of this ordered state is a result of aquantum phase transition induced by the mediation of the attenuated photonicfield. By tuning the intensity of the light, the ordered state can be manipulatedso that two-level atoms can be in an arbitrary uniform linear combination ofthe single-atom ground state and the excited state. Potential applications ofthis phenomenon are quantum computation, lasing physics, optical lattices andrelated subjects in nanotechnology. Similar phase transitions induced by themediation of transmuted intermediate boson-like phonons, magnons or otherfields may also occur in condensed-matter systems

Light-mediated quantum phase transition and manipulations of the quantum states of arrayed two-level atoms