Higher-energy Schrodinger's cats and their transformation into the winking states

A quantum superposition of two displaced higher-order coherent states can be considered as the higher-energy excited Schrodinger's cat state. These linear self-localized and robust wave packets elastically interact and preserve their internal higher-energy Hermitian-Gaussian structures after repeated collisions. We demonstrate the transformation of the higher-energy excited Schrodinger's cat states into the winking states. As the name suggests, the main novel feature of winking state consists in the periodic jumping of the probability distribution from one region of space to another. The winking states of the Schrodinger harmonic oscillator are formed when the lower-energy coherent state, for example, the displaced ground state (playing the role of the alive cat state), closely approaches in space (and at the same time) the first excited coherent state, which has the meaning of the dead cat. We combine analytical and computational studies of winking states formed among two closely displaced ground and first-order excited states involved into the Schrodinger's alive and dead cat dynamics.