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Robust synchronization (phase locking) of power plants and consumers centrally underlies the stable operation of electric power grids. Despite current attempts to control large-scale networks, even their uncontrolled collective dynamics is not fully understood. Here we analyze conditions enabling self-organized synchronization in oscillator networks that… (More)

- Dirk Witthaut, Marc Timme
- 2012

Robust synchronization is essential to ensure the stable operation of many complex networked systems such as electric power grids. Increasing energy demands and more strongly distributing power sources raise the question of where to add new connection lines to the already existing grid. Here we study how the addition of individual links impacts the… (More)

Replacing conventional power sources by renewable sources in current power grids drastically alters their structure and functionality. In particular, power generation in the resulting grid will be far more decentralized, with a distinctly different topology. Here, we analyze the impact of grid topologies on spontaneous synchronization, considering regular,… (More)

- D Witthaut, A S Sørensen
- 2010

We discuss the scattering of photons from a three-level emitter in a one-dimensional waveguide, where the transport is governed by the interference of spontaneously emitted and directly transmitted waves. The scattering problem is solved in closed form for different level structures. Several possible applications are discussed: the state of the emitter can… (More)

The Kuramoto model constitutes a paradigmatic model for the dissipative collective dynamics of coupled oscillators, characterizing in particular the emergence of synchrony (phase locking). Here we present a classical Hamiltonian (and thus conservative) system with 2N state variables that in its action-angle representation exactly yields Kuramoto dynamics on… (More)

We discuss a new method for realizing number-resolving and non-demolition photo detectors by strong coupling of light to individual single photon emitters, which act as strong optical non-linearities. As a specific application we show how these elements can be integrated into an error-proof Bell state analyzer, whose efficiency exceeds the best possible… (More)

- D. Witthaut, F. Trimborn, S. Wimberger
- 2009

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly interacting condensate, experimentally measured via the contrast in an interference experiment, as well as the response to an external driving becomes maximal for a finite value of the dissipation rate… (More)

- H. J. Korsch, D. WITTHAUT
- 2009

The nonlinear Schrödinger equation is studied for a periodic sequence of delta-potentials (a delta-comb) or narrow Gaussian potentials. For the delta-comb the time-independent nonlinear Schrödinger equation can be solved analytically in terms of Jacobi elliptic functions and thus provides useful insight into the features of nonlinear stationary states of… (More)

- Dirk Witthaut, Andrea Zierer, Arno Dettmers, Stefan Rohde-Enslin, Monika Hagedorn-Saupe
- 2005

Ziel: Empirische Grundlagen bereit zu stellen um näherungsweise den gegenwärtigen Problem-und Kenntnisstand vor Augen zu haben. Grundlagen zur Verfügung zu stellen für eine " Awareness-Kampagne " und Anregungen zu geben, so dass im Museumsbereich über Strategien nachgedacht wird und dass erkennbar ist, dass deren Notwendigkeit noch zunehmen wird.

—Power Transfer Distribution Factors (PTDFs) play a crucial role in power grid security analysis, planning, and redispatch. Fast calculation of the PTDFs is therefore of great importance. In this letter, we present a dual method of computing PTDFs. It uses power flows along topological cycles of the network but still relies on simple matrix algebra. For… (More)