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We discuss a system of the Kerr-like quantum nonlinear oscillator excited by a series of ultrashort external pulses. These coherent excitations, along with the nonlinearity involved in the system, can lead to the quantum chaotic behaviour. For that model, we calculate the fidelities of the wave function which describe the system’s dynamics. We show that such defined fidelity and its decay rate can be applied as an indicator of the quantum chaotic behaviour appearance. We also discuss the problem of how the initial distance between the two close wave functions can influence the fidelity changes.

The fidelity evolution for quantum chaotic kicked Kerr-like nonlinear oscillator and distance effect of the initial wave functions