Abstract

Dressed States or Polaritons have proved to be an important resource for quantum information, especially because this hybrid light-matter state sometimes simplify the time evolution of the system. For a many body systems, like a cavity QED array, we derive a different hopping energy for the polaritons. This is because a complete formulation of the ladder operators for these states is missing. In this work, we present a new definition for the polariton ladder operators, which satisfy the boson commutation relations, including transitions between higher levels beyond the ground and first excited state. Finally, for a three cavity system, we show how this new insight can affect the entanglement and the Mott-Superfluid quantum phase transition.

© 2014 Optical Society of America