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Open AccessArticle

Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity

1
Joint Laboratory of Optics, Institute of Physics of the Czech Academy of Sciences, 17. listopadu 50a, 771 46 Olomouc, Czech Republic
2
Joint Laboratory of Optics, Faculty of Science, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(8), 1020; https://doi.org/10.3390/sym11081020
Received: 12 July 2019 / Revised: 29 July 2019 / Accepted: 31 July 2019 / Published: 7 August 2019
(This article belongs to the Special Issue Quantum Information and Symmetry)
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Abstract

Quantum behavior of two oscillator modes, with mutually balanced gain and loss and coupled via linear coupling (including energy conserving as well as energy non-conserving terms) and nonlinear cross-Kerr effect, is investigated. Stationary states are found and their stability analysis is given. Exceptional points for PT -symmetric cases are identified. Quantum dynamics treated by the model of linear operator corrections to a classical solution reveals nonclassical properties of individual modes (squeezing) as well as their entanglement. View Full-Text
Keywords: nonlinearly coupled oscillators; PT symmetry; cross-Kerr nonlinearity; stability analysis; quantum properties nonlinearly coupled oscillators; PT symmetry; cross-Kerr nonlinearity; stability analysis; quantum properties
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Peřina, J., Jr.; Lukš, A. Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity. Symmetry 2019, 11, 1020.

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