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The connection between phase synchronization in simple nonlinear system and stationary state entanglement in its quantum counterpart

2015/11/14 by E. D. Vol, Vol, E. D.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.1511.04627

openalex publication_date 2015/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We begin with the simple model of phase sychronization in open classical nonlinear system which is represented in the language of angular momentum variables. After that we propose the relevant quantum counterpart of this system. Using the appropriate Lindblad master equation for the density matrix of two qubit realization of such system we have revealed that stationary state of this composite system is pure and entangled with small dispersion of phase observable. We believe that such curious connection between entangled stationary states of quantum composite system and phase sychronization between its subsystems may be typical for rather wide class of similar nonlinear open systems as well.

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