Directed transport and Floquet analysis for a periodically kicked wavepacket at a quantum resonance

The dynamics of a kicked quantum mechanical wavepacket at a quantum resonance is studied in the framework of Floquet analysis. It is seen how a directed current can be created out of a homogeneous initial state at certain resonances in an asymmetric potential. The almost periodic parameter dependence of the current is found to be connected with level crossings in the Floquet spectrum.Comment: 8 pages, 4 figures, submitted to Phys. Rev.

Calculation of collective modes for the Bose-Hubbard model with confinement

The collective excitations in the Bose-Hubbard model in a trap are studied by means of numerical diagonalization in one dimension. The strength function is calculated for monopole and dipole perturbations, and moments of the strength function are utilized in order to obtain information about the collective behavior under external forces. In the superfluid regime, the spectrum is found to be exhausted by one single frequency, while in systems that contain a Mott insulating plateau several frequencies are excited. An explanation of recent experimental findings in terms of a Mott plateau is suggested.Comment: 4 pages, 5 figures; submitted to PRA. One figure change

In search of an evolutionary coding style

In the near future, all the human genes will be identified. But understanding the functions coded in the genes is a much harder problem. For example, by using block entropy, one has that the DNA code is closer to a random code then written text, which in turn is less ordered then an ordinary computer code; see \cite{schmitt}. Instead of saying that the DNA is badly written, using our programming standards, we might say that it is written in a different style -- an evolutionary style. We will suggest a way to search for such a style in a quantified manner by using an artificial life program, and by giving a definition of general codes and a definition of style for such codes.Comment: 14 pages, 7 postscript figure

A Santa Cruz pioneer has died

Obituary for Elfriede Hornema

Ratchet effect for cold atoms in an optical lattice

The realization of a directed current for a quantum particle in a flashing asymmetric potential is studied. It is found that a positive current, i.e. in the direction expected for a conventional diffusive ratchet, can be attained at short times in the limit where the potential is weak and quantum diffusion dominates, while current reversal is obtained for stronger potentials. A single parameter, the ratio between the kicking frequency and the optical lattice potential strength, determines both the degree to which quantum effects dominate, and the possibility of obtaining a ratchet current. The effect should be readily observable in experiments.Comment: 4 pages, 3 figure