Complexity reduction in the 3D Kuramoto model

AbstractThe Kuramoto model is a mathematical model for describing the collective synchronization phenomena of coupled oscillators. We theoretically demonstrate that an array of coupled photonic crystal lasers emulates the Kuramoto model with non-delayed nearest-neighbor coupling (the local Kuramoto model). Our novel strategy employs indirect coupling between lasers via additional cold cavities. By installing cold cavities between laser cavities, we avoid the strong coupling of lasers and realize ideal mutual injection-locking with effective non-delayed dissipative coupling. First, after discussing the limit cycle interpretation of laser oscillation, we demonstrate the synchronization of two indirectly coupled lasers by numerically simulating coupled-mode equations. Second, by performing a phase reduction analysis, we show that laser dynamics in the proposed device can be mapped to the local Kuramoto model. Finally, we briefly demonstrate that a chain of indirectly coupled photonic crystal lasers actually emulates the one-dimensional local Kuramoto chain. We also argue that our proposed structure, which consists of periodically aligned cold cavities and laser cavities, will best be realized by using state-of-the-art buried multiple quantum well photonic crystals.

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Partially Phase-Locked Solutions to the Kuramoto Model

Journal of Statistical Physics ◽

10.1007/s10955-021-02783-5 ◽

2021 ◽

Vol 183 (3) ◽

Author(s):

Jared C. Bronski ◽

Lan Wang

Keyword(s):

Kuramoto Model ◽

The Kuramoto Model

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Symmetrized persistency of Bell correlations for Dicke states and GHZ-based mixtures

Scientific Reports ◽

10.1038/s41598-021-93786-5 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Marcin Wieśniak

Keyword(s):

Communication Complexity ◽

Quantum Communication ◽

Bell Inequality ◽

Bell Inequalities ◽

Quantum Correlations ◽

Complexity Reduction ◽

Main Difficulty ◽

Quantum Communication Complexity ◽

Number Of Particles ◽

Dicke States

AbstractQuantum correlations, in particular those, which enable to violate a Bell inequality, open a way to advantage in certain communication tasks. However, the main difficulty in harnessing quantumness is its fragility to, e.g, noise or loss of particles. We study the persistency of Bell correlations of GHZ based mixtures and Dicke states. For the former, we consider quantum communication complexity reduction (QCCR) scheme, and propose new Bell inequalities (BIs), which can be used in that scheme for higher persistency in the limit of large number of particles N. In case of Dicke states, we show that persistency can reach 0.482N, significantly more than reported in previous studies.

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Emergent synchronous beating behavior in spontaneous beating cardiomyocyte clusters

Scientific Reports ◽

10.1038/s41598-021-91466-y ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Kazufumi Sakamoto ◽

Yoshitsune Hondo ◽

Naoki Takahashi ◽

Yuhei Tanaka ◽

Rikuto Sekine ◽

...

Keyword(s):

Stem Cell ◽

Embryonic Stem Cell ◽

Human Embryonic Stem Cell ◽

Single Cells ◽

Embryonic Stem ◽

Kuramoto Model ◽

Distribution Analysis ◽

Cell Clusters ◽

Overdrive Suppression ◽

The Kuramoto Model

AbstractWe investigated the dominant rule determining synchronization of beating intervals of cardiomyocytes after the clustering of mouse primary and human embryonic-stem-cell (hES)-derived cardiomyocytes. Cardiomyocyte clusters were formed in concave agarose cultivation chambers and their beating intervals were compared with those of dispersed isolated single cells. Distribution analysis revealed that the clusters’ synchronized interbeat intervals (IBIs) were longer than the majority of those of isolated single cells, which is against the conventional faster firing regulation or “overdrive suppression.” IBI distribution of the isolated individual cardiomyocytes acquired from the beating clusters also confirmed that the clusters’ IBI was longer than those of the majority of constituent cardiomyocytes. In the complementary experiment in which cell clusters were connected together and then separated again, two cardiomyocyte clusters having different IBIs were attached and synchronized to the longer IBIs than those of the two clusters’ original IBIs, and recovered to shorter IBIs after their separation. This is not only against overdrive suppression but also mathematical synchronization models, such as the Kuramoto model, in which synchronized beating becomes intermediate between the two clusters’ IBIs. These results suggest that emergent slower synchronous beating occurred in homogeneous cardiomyocyte clusters as a community effect of spontaneously beating cells.

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