Regensburg 2016 – wissenschaftliches Programm

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SYCS: Symposium Chimera States: Coherence-Incoherence Patterns in Complex Networks

SYCS 1: Chimera States: Coherence-Incoherence Patterns in Complex Networks

SYCS 1.3: Hauptvortrag

Dienstag, 8. März 2016, 10:30–11:00, H1

Chimera states in quantum mechanics — •Victor Manuel Bastidas Valencia — Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore

Chimera states are a hallmark of self-organization in non-linear dynamical systems [1]. These intriguing states are characterized by the spatial coexistence of synchronized and desynchronized motion in a complex network [2,3]. In this talk, I will discuss the emergence of Chimera states in a network of N coupled quantum van der Pol oscillators with a ring topology. Among the diverse quantum signatures of Chimera states, I will describe the formation of Chimera-like quantum correlations in the network. In addition, I will show how Chimera states can be characterized by using concepts of quantum information theory such as the quantum mutual information. By using this approach, one can show that Chimera states exhibit lower mutual information than a synchronized state, but higher mutual information than a desynchronized one, which extends in a natural way the definition of chimera states to quantum mechanics [4].

[1] M. J. Panaggio and D. M. Abrams, Nonlinearity 28, R67 (2015).

[2] Y. Kuramoto and D. Battogtokh, Nonlin. Phenom. in Complex Syst. 5, 380 (2002)

[3] D. M. Abrams and S. H. Strogatz, Phys. Rev. Lett. 93, 174102 (2004).

[4] V. M. Bastidas, I. Omelchenko, A. Zakharova, E. Schöll, and T. Brandes, Phys. Rev. E 92, 062924 (2015).