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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)
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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