SUMMARYFrom the very beginning the seizure prediction community faced problems concerning evaluation, standardization, and reproducibility of its studies. One of the main reasons for these shortcomings was the lack of access to high-quality long-term electroencephalography (EEG) data. In this article we present the EPILEPSIAE database, which was made publicly available in 2012. We illustrate its content and scope. The EPILEPSIAE database provides long-term EEG recordings of 275 patients as well as extensive metadata and standardized annotation of the data sets. It will adhere to the current standards in the field of prediction and facilitate reproducibility and comparison of those studies. Beyond seizure prediction, it may also be of considerable benefit for studies focusing on seizure detection, basic neurophysiology, and other fields.

We present a formula for the spectroscopically-accessible level shifts and decay rates of an atom moving at an arbitrary angle relative to a surface. Our Markov formulation leads to an intuitive analytic description whereby the shifts and rates are obtained from the coefficients of the Heisenberg equation of motion for the atomic flip operators but with complex Doppler-shifted (velocitydependent) transition frequencies. Our results conclusively demonstrate that for the limiting case of parallel motion the shifts and rates are quadratic or higher in the atomic velocity. We show that a stronger, linear velocity-dependence is exhibited by the rates and shifts for perpendicular motion, thus opening the prospect of experimentally probing the Markovian approach to the phenomenon of quantum friction.

Quantum friction, the electromagnetic fluctuation-induced frictional force decelerating an atom which moves past a macroscopic dielectric body, has so far eluded experimental evidence despite more than three decades of theoretical studies. Inspired by the recent finding that dynamical corrections to such an atom's internal dynamics are enhanced by one order of magnitude for vertical motion -compared to the paradigmatic setup of parallel motion -we generalize quantum friction calculations to arbitrary angles between the atom's direction of motion and the surface in front of which it moves. Motivated by the disagreement between quantum friction calculations based on Markovian quantum master equations and time-dependent perturbation theory, we carry out our derivations of the quantum frictional force for arbitrary angles employing both methods and compare them.

We investigate the properties of the molecular quantum dot (Holstein-Anderson) model using numerical and analytical techniques. Path integral Monte Carlo simulations for the cumulants of the distribution function of the phonon coordinate reveal that at intermediate temperatures the effective potential for the oscillator exhibits two minima rather than a single one, which can be understood as a signature of a bistability effect. A straightforward adiabatic approximation turns out to adequately describe the properties of the system in this regime. Upon lowering the temperature the two potential energy minima of the oscillator merge to a single one at the equilibrium position of the uncoupled system. Using the parallels to the X-ray edge problem in metals we derive the oscillator partition function. It turns out to be identical to that of the Kondo model, which is known to possess a universal low energy fixed point characterized by a single parameter -the Kondo temperature TK . We derive an analogon of TK for the molecular quantum dot model, present numerical evidence pointing towards the appearance of the Kondo physics and discuss experimental implications of the discovered phenomena. In view of the recent progress in the field of microelectronic fabrication, which produces ever smaller electronic circuitry elements, it is reasonable to assume that the basic building blocks of the future nanoelectronics would be individual molecules.1 Contrary to the solid-state based systems their internal degrees of freedom play a principal role. The most important ones are the vibrational degrees of freedom.2,3 Although it is possible to model their effects with the help of a rather simple model -the molecular quantum dot (sometimes also referred to as HolsteinAnderson model ), its properties are still not understood in full detail [4]. One of the reasons is that the problem in general is not exactly solvable and many of the interesting regimes are not accessible analytically. In particular, some time ago it was predicted that when the electronphonon coupling is sufficiently strong, such a molecular dot might possess a bistability regime.5-7 A subsequent numerical analysis of systems under nonequilibirum conditions (with a finite voltage bias applied across the dot) has revealed some signatures of this phenomenon. However, so far the numerics were not able to supply conclusive evidence about the lifetime of the system in different conformational states of the molecule.8,9 On the other hand, there are several arguments against a bistable behaviour of such systems at low energies.10-12 The purpose of this paper is to reconsider the problem, trying to settle the open issues outlined above for systems in equilibrium. By doing this we have made a twofold progress. Firstly, we report path integral Monte Carlo (PIMC) simulations for the coordinate distribution functions of the localized vibrational degree of freedom, which are especially convenient for measurements in future experimental realizations of the model with the help of ultr...