While topological defects are essential to our understanding of self-organizing periodic systems, little is known about how these systems respond when their defects are subjected to geometrical constraints. In an experiment on spatially modulated thermal convection patterns, we observe that applied geometrical constraints bind topological defects into robust self-localized structures that evolve through aggregation, annihilation, and self-replication. We demonstrate that this unexpected cooperative response to the modulation is a natural consequence of three generic elements: phase locking, symmetry breaking, and spatial resonance. Our work provides new insights into the interplay between order, chaos, and control in self-organizing systems.
InhaltsubersichtDie gemiiB der Quantenelektrodynamik zur Interferenz von Licht aus zwei voneinander unabhiingigen Lascrn notwendigen Bedingungen fur die Zustandsfunktion des Strahlungsfeldes werden im Zusammenhang mit der Interpretation des Erwartungswertes der elektrischen Feldstirke und der Lichtintensitiit nls Mittelwerte uber ciner Gesamtheit gleichartiger S steme niiher untersucht; und es wird gezeigt, daB diese Interferenzon such bei beliebig a&eschwiichten Laserstrahlen zu erwarten sind. Zur Abschwachung der Lichtstrahlen wird eine Vorrichtung zur Strahlteilung, mie z. B. ein partiell durchliissiger Spiegel, betrachtet, deren Wirkung auf die Strahlung unter Vorcrussetzung der experimentell gesicherten ,,Interferenzen eines Photons mit sich selbst" abgeleitet wird.
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