4.5 Article

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

Journal

PHOTONICS
Volume 8, Issue 1, Pages -

Publisher

MDPI
DOI: 10.3390/photonics8010020

Keywords

quantum correlations; nonlinear oscillator; quantum chaos; Leggett– Garg inequality

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Funding

  1. ERDF/ESF project Nanotechnologies for Future [CZ.02.1.01/0.0/0.0/16_019/0000754]
  2. Polish National Science Center [DEC-2019/34/A/ST2/00081]
  3. [003/RID/2018/19]

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We investigated the time correlations of a quantum nonlinear Kerr-like oscillator pumped by ultrashort coherent pulses, analyzing the violation of the Leggett-Garg inequality. We observed how these correlations change as the system's dynamics transition between regular and chaotic regions in its classical counterpart.
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.

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