High power measurement and non-linearity of cavity

We studied nonlinear bistability of a strongly driven cavity in a dispersive regime. Cavity, a high quality photon resonator, is one of the most important components in realizing Jaynes Cummings interaction, dispersive measurement of a qubit, and bosonic quantum information memory. Low power and slow measurement are necessary to minimize the number of photons in a cavity and, therefore, to stay in a linear regime. Non-linearity of a cavity with many photon state is obtained at high power and fast measurement, which can be understood by the generalized Jaynes Cummings Hamiltonian. [1] The Fock state of a cavity photon can carry qubit information and, accordingly, the non-linearity of the photon states is major limitation to expand the Hilbert space for bosonic information. We will present a preliminary study to correct such non-linearity.