We discuss a system of two coupled anharmonic Kerr-type quantum oscillators. The oscillators are continuously driven, and the strength of excitation changes periodically. We show that such a system can be a source of strongly entangled states, and the degree of entanglement between two subsystems depends on the period of changes in excitation’s strength.
We discuss a system consisting of two coupled nonlinear Kerr-like oscillators. For such a model, we study the time-evolution of the steering parameter and the normally ordered variances of the quadratures operators. We discuss the relationships between the generation of steerable and squeezed states.
We propose the second-order correlation function g(2) as an indicator of quantum chaotic evolution. We discuss a nonlinear Kerr-like oscillator's system excited by a series of ultra-short coherent pulses. For such model, we study the time-evolution of the function g(2) for various values of the strength of excitation which corresponds to the regular and chaotic behaviors of the classical counterpart of the Kerr-like quantum system.
We propose two parameters which are mutually related to the fidelity between two states1-4 and mean number of photons. We discuss them for situations corresponding to the regular and chaotic behavior of the classical counterpart of Kerr-like quantum system, showing that proposed parameters could be applied as indicators of quantum chaos.
We discuss a chain of three nonlinear oscillators excited by an external field. We show that during system’s evolution squeezed states can be generated in all three modes. Such generated squeezing appears simultaneously in all modes but for different quadratures. We show that degree of the squeezing and time of its appearance depend on the values of the parameters determining strengths of external and internal couplings and dumping of the system.
A model of a nonlinear, damped kicked oscillator is discussed. For such a model intra-mode correlations described by mutual information parameter I[α] based on the Wehrl entropy are considered. Furthermore, the system’s quantum evolution is compared to its classical counterpart. The mutual information parameter is discussed as a proposal for quantum chaos’ witness.
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