Superposition of coherent states in Kerr medium.

J. Merlin, A. Basherrudin Mahmud Ahmed

Shivani A. Kumar, Hari Prakash, Naresh Chandra +1 more

Igor Jex, Arkadiusz Orłowski

We report on the time evolution of the Wehrl entropy in a Kerr-like medium. We show that the Wehrl entropy gives a clear signature for the formation of finite superpositions of coherent states (cat-like states). In addition, the actual value of the Wehrl entropy at the time of a superposition formation gives the number of coherent components taking part in the superposition.

Wu Jin-wei, Guo Guang-Can

The evolution of the input coherent state in the Kerr medium is studied. Upon the derivation we know that the output state at time t which corresponds to a rational number is Schrodinger's cat state. Using Fourier integral of the evolution operator, we obtain the integral expression of the output state at time t which corresponds to an irrational number. It is a kind of one-dimensional continuous superposition of coherent states, not an ordinary Schrodinger's cat state.

Chuan-hua Dong

M J Werner, H. Risken

The dynamics of the Q-function for a two-level system coupled to one-cavity mode (Jaynes-Cummings model) in the presence of a Kerr-like medium is investigated. Starting the field mode in a coherent state and the atom in its upper state, the Q-function splits into distinct distribution functions as in the case of the Jaynes-Cummings model. In addition to this splitting the Kerr medium introduces an additional rotation and broadening of the counter-rotating contributions to the Q-function. It is further shown that the discrete superpositions of coherent states produced by the Kerr medium split into additional peaks is due to atomic coupling.