1,355,298 research outputs found
Quantum-walk approach to searching on fractal structures
We study continuous-time quantum walks mimicking the quantum search based on Grover’s procedure. This allows us to consider structures, that is, databases, with arbitrary topological arrangements of their entries. We show that the topological structure of the database plays a crucial role by analyzing, both analytically and numerically, the transition from the ground to the first excited state of the Hamiltonian associated with different (fractal) structures. Additionally, we use the probability of successfully finding a specific target as another indicator of the importance of the topological structure
Slow encounters of particle pairs in branched structures
On infinite homogeneous structures, two random walkers meet with certainty if and only if the structure is recurrent; i.e., a single random walker returns to its starting point with probability 1. However, on general inhomogeneous structures this property does not hold, and, although a single random walker will certainly return to its starting point, two moving particles may never meet. This striking property has been shown to hold, for instance, on infinite combs. Due to the huge variety of natural phenomena which can be modeled in terms of encounters between two (or more) particles diffusing in comblike structures, it is fundamental to investigate if and, if so, to what extent similar effects may take place in finite structures. By means of numerical simulations we provide evidence that, indeed, even on finite structures, the topological inhomogeneity can qualitatively affect the two-particle problem. In particular, the mean encounter time can be polynomially larger than the time expected from the related one-particle problem
Continuous-time quantum walks and trapping
Recent findings suggest that processes such as the excitonic energy transfer through the photosynthetic antenna display quantal features, aspects known from the dynamics of charge carriers along polymer backbones. Hence, in modeling energy transfer one has to leave the classical, master-equation-type formalism and advance towards an increasingly quantum-mechanical picture, while still retaining a local description of the complex network of molecules involved in the transport, say through a tight-binding approach.
Interestingly, the continuous time random walk (CTRW) picture, widely employed in describing transport in random environments, can be mathematically reformulated to yield a quantum-mechanical Hamiltonian of tight-binding type; the procedure uses the mathematical analogies between time-evolution operators in statistical and in quantum mechanics: The result are continuous-time quantum walks (CTQWs). However, beyond these formal analogies, CTRWs and CTQWs display vastly different physical properties. In particular, here we focus on trapping processes on a ring and show, both analytically and numerically, that distinct configurations of traps (ranging from periodical to random) yield strongly different behaviors for the quantal mean survival probability, while classically (under ordered conditions) we always find an exponential decay at long times
Dialogue Tour with Sasha Rossman and Melanie Ohnemus on the occasion of the exhibition "Blumen in Vasen" at Kunsthaus Glarus
A lecture-discussion of the exhibition "Blumen in Vasen" at Kunsthaus Glarus with curator Melanie Ohnemus and art historian Sasha Rossma
Blumen-Gärtchen
BLUMEN-GÄRTCHEN
Blumen-Gärtchen (-)
Blumen-Gärtchen (Ersten Abtheilung Zweites Ländchen) ([37])
Titelseite. ([37])
An meinen Mann. ([39])
Trink-Lied. (40)
Hundgesang der Freimäurer. (45)
Schurken-Lohn. (50)
Nicht Ursache. (51)
Auf das Geburts-Fest meines Lehrers. (52)
Verwunderung der Schlächter. (53)
Liebes-Eckstase. (54)
Die Gelehrte. (55)
Bittschrift. (56)
Moses Mendelssohn. (57)
Königliche Sentenz. (58)
Die Esel. (59)
Liebe-Tändelei. (60)
Vierfüssiger Gevatter - Brief an den Herrn Adonis wohlrenomirten Windspiel. (62)
Das Erbtheil. (65)
Aufmunterung zur Freude und Liebe. (66)
Ueber die Mode a la Trenk. (67)
Dialog. (67)
An meine Katze. (68)
Ursprung der Liebe. (69)
Nach Empfange des ersten Kusses. (70)
Mädchens Noth. (71)
An die Recensenten. (71
Festhalle, 18. Sept. - 2. Okt. 1927, Blumen u. Früchte Ausstellung Frankfurt a. M.
FESTHALLE, 18. SEPT. - 2. OKT. 1927, BLUMEN U. FRÜCHTE AUSSTELLUNG FRANKFURT A. M.
Festhalle, 18. Sept. - 2. Okt. 1927, Blumen u. Früchte Ausstellung Frankfurt a. M. ( -
Arthur Schnitzler: Blumen
Historical-critical edition of Arthur Schnitzler’s novella Blumen. The volume presents all bequeathed manuscripts as full-size facsimiles with transcriptions and a print text with a display of textual variants. It is completed by a commentary and describes the highly complex genesis of the text in detail.Historisch-kritische Edition von Arthur Schnitzlers Novelle Blumen. Der Band bietet Faksimiles des Manuskripts, die Transkription und den Lesetext inklusive Apparat, ergänzt durch einen literaturwissenschaftlichen Kommentar und einen Editionsbericht, der einen Einblick in die komplexe Textgenese erlaubt
- …
