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Acta Physica Polonica A

Generation of Squeezed States in a System of Nonlinear Quantum Oscillator as an Indicator of the Quantum-Chaotic Dynamics

Joanna K. Kalaga, M.W. Jarosik, Radosław Szczȩśniak, W. Leoński

Published Feb 1, 2019• 5 citations
Publisher

Abstract

We consider a model of quantum nonlinear oscillator which is excited by a series of ultrashort coherent pulses.For such a system, we analyze the potential application of the normally ordered variances as a witness of quantum chaotic behavior.We concentrate on the relations between the generation of the squeezing effects and the appearance of the quantum chaotic behavior of the system.

DOI
10.12693/aphyspola.135.270

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We consider a model of quantum nonlinear oscillator which is excited by a series of ultrashort coherent pulses.For such a system, we analyze the potential application of the normally ordered variances as a witness of quantum chaotic behavior.We concentrate on the relations between the generation of the squeezing effects and the appearance of the quantum chaotic behavior of the system.
Three identical, interacting with each other nonlinear oscillators are considered. In addition, they are also externally driven by a coherent field of constant amplitude. The possibility of generating two-mode squeezed states is analyzed in this system. The two-mode principal squeeze variance is used to study the properties of the squeezed states of the system. The time evolution of this variance is analyzed, as well as the effect of the strength of the interaction between the oscillators and the damping strength on the generation of squeezed states.
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.