Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physical Studies

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

Joanna K. Kalaga, A. Kowalewska-Kudłaszyk, W. Leoński, Van Cao Long

Published Jan 1, 2011• 0 citations
Publisher

Abstract

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.

DOI
10.30970/jps.15.1002

Related papers

Kerr-type nonlinear quantum oscillator: quantum correlations, chaotic, and regular dynamics

W. Leoński, M.W. Jarosik, Radosław Szczȩśniak +2 more

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.

Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics•Dec 18, 2018•2 citations

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 +1 more

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.

Acta Physica Polonica A•Feb 1, 2019•5 citations

Violation of Leggett–Garg Inequalities in a Kerr-Type Chaotic System

Joanna K. Kalaga, A. Kowalewska-Kudłaszyk, Mateusz Nowotarski +1 more

We consider a quantum nonlinear Kerr-like oscillator externally pumped by a series of ultrashort coherent pulses to analyze the quantum time-correlations appearing while the system evolves. For that purpose, we examine the violation of the Leggett–Garg inequality. We show how the character of such correlations changes when the system’s dynamics correspond to the regular and chaotic regions of its classical counterpart.

Photonics•Jan 15, 2021•4 citations

Kicked nonlinear quantum scissors and entanglement generation

A. Kowalewska-Kudłaszyk, W. Leoński, Thi Dung Nguyen +1 more

We consider a nonlinear coupler with two Kerr-like oscillators mutually coupled by continuous linear interaction and excited by a series of ultrashort external pulses. We show that the system behaves like nonlinear quantum scissors . It evolves in such a way that it can be treated as a qubit–qubit system. We derive analytic formulas for the probabilities of the states involved in the system's evolution and show that they differ from those already discussed in the literature and corresponding to the continuously excited models. Moreover, for the model discussed here, maximally entangled Bell states can be generated with high efficiency.

arXiv:1404.1735•Physica Scripta•Apr 1, 2014•13 citations

Computer Simulation of Two-Mode Nonlinear Quantum Scissors

Thi Dung Nguyen, W. Leoński, Van Cao Long

We present a simulation method allowing for modeling of quantum dynamics of nonlinear quantum scissors' (NQS) systems.We concentrate on the two-mode model involving two mutually interacting nonlinear quantum oscillators (Kerr nonlinear coupler) excited by a series of ultra-short external coherent pulses.We show that despite the simplicity of the method one can obtain non-trivial results.In particular, we discuss and compare two cases of kicked nonlinear coupler, showing that the quantum evolution of the system remains closed within a two-qubit Hilbert space and can lead to maximally entangled states generation.

arXiv:1309.3635•Computational Methods in Science and Technology•Jul 31, 2013•6 citations

Quantum Correlations in System of Kerr Nonlinear Coupler

Vinh Le Duc, Joanna K. Kalaga, W. Leoński

We consider a system composed of two linearly mutually interacting, identical Kerr-like nonlinear oscillators.Assuming that the system initially is in a coherent state, we discuss the system's dynamics and concentrate on the field's mutual correlations.As a measure of such correlations, we apply the normalized first-and second-order coherence functions.We derive the analytical formulas for such functions showing that their time-evolution strongly depends on the linear coupling parameter.

Acta Physica Polonica A•May 1, 2021•0 citations
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.
We consider a nonlinear coupler with two Kerr-like oscillators mutually coupled by continuous linear interaction and excited by a series of ultrashort external pulses. We show that the system behaves like nonlinear quantum scissors . It evolves in such a way that it can be treated as a qubit–qubit system. We derive analytic formulas for the probabilities of the states involved in the system's evolution and show that they differ from those already discussed in the literature and corresponding to the continuously excited models. Moreover, for the model discussed here, maximally entangled Bell states can be generated with high efficiency.
We present a simulation method allowing for modeling of quantum dynamics of nonlinear quantum scissors' (NQS) systems.We concentrate on the two-mode model involving two mutually interacting nonlinear quantum oscillators (Kerr nonlinear coupler) excited by a series of ultra-short external coherent pulses.We show that despite the simplicity of the method one can obtain non-trivial results.In particular, we discuss and compare two cases of kicked nonlinear coupler, showing that the quantum evolution of the system remains closed within a two-qubit Hilbert space and can lead to maximally entangled states generation.
We consider a system composed of two linearly mutually interacting, identical Kerr-like nonlinear oscillators.Assuming that the system initially is in a coherent state, we discuss the system's dynamics and concentrate on the field's mutual correlations.As a measure of such correlations, we apply the normalized first-and second-order coherence functions.We derive the analytical formulas for such functions showing that their time-evolution strongly depends on the linear coupling parameter.