Magnetic properties of exactly solvable doubly decorated Ising-Heisenberg planar models

Applying the decoration-iteration procedure, we introduce a class of exactly solvable doubly decorated planar models consisting both of the Ising- and Heisenberg-type atoms. Exact solutions for the ground state, phase diagrams and basic physical quantities are derived and discussed. The detailed analysis of the relevant quantities suggests the existence of an interesting quantum antiferromagnetic phase in the system.Comment: 9 pages, 9 figures, submitted to Physical Review

Projection Postulate and Atomic Quantum Zeno Effect

The projection postulate has been used to predict a slow-down of the time evolution of the state of a system under rapidly repeated measurements, and ultimately a freezing of the state. To test this so-called quantum Zeno effect an experiment was performed by Itano et al. (Phys. Rev. A 41, 2295 (1990)) in which an atomic-level measurement was realized by means of a short laser pulse. The relevance of the results has given rise to controversies in the literature. In particular the projection postulate and its applicability in this experiment have been cast into doubt. In this paper we show analytically that for a wide range of parameters such a short laser pulse acts as an effective level measurement to which the usual projection postulate applies with high accuracy. The corrections to the ideal reductions and their accumulation over n pulses are calculated. Our conclusion is that the projection postulate is an excellent pragmatic tool for a quick and simple understanding of the slow-down of time evolution in experiments of this type. However, corrections have to be included, and an actual freezing does not seem possible because of the finite duration of measurements.Comment: 25 pages, LaTeX, no figures; to appear in Phys. Rev.

Deciphering the structure of DNA toroids

Toroids are small donut shaped organizational units within sperm chromatin and viruses containing DNA and protein. Investigators first characterized the dimensions of toroids created in vitro, in viruses and in decondensed sperm chromatin using transmission electron and atomic force microscopy. More recent measurements, performed using cryo-electron microscopy, have allowed experimenters to observe the hexagonal organization of DNA within viruses, and toroids created from DNA and cobalt hexammine. However, it has been difficult to obtain information about the assembly of DNA into a toroid, its structure and the biomechanical forces involved because of the limitations of these techniques. Similarly, biophysical studies of toroids utilizing techniques such as circular dichroism or light scattering are difficult to perform and interpret because toroids created using bulk DNA can aggregate and precipitate out of solution even at very low concentrations. The development of optical and magnetic traps has allowed experimenters to manipulate single DNA molecules within microfluidic, multichannel flow cells and measure the structural changes they undergo as they are transformed into toroids. During the past few years investigators have demonstrated that toroids consist of loops of DNA. They have observed the stepwise incorporation of these loops into a toroid that is not in contact with charged surfaces, which might affect its formation. The condensation of a constrained DNA molecule into a toroid was observed to significantly increase its tension, which reduced the size of the DNA loops that form the toroid. This structural information is important for understanding how genomic DNA is assembled and organized within the sperm cell and viruses. In this perspective we discuss what is known about the structure and formation of toroids, what has been learned recently using single molecule techniques and what remaining questions have the potential to be answered using these emerging technologies

Suppression of beam steering in an injection-locked laser diode array

Experimental measurements were made to demonstrate that the degree of beam steering in an injection‐locked laser diode array is related to the divergence of the master laser beam. For a collimated master laser beam the beam steering was suppressed. The injection‐locked laser diode array beam steers with the master laser wavelength because only a portion of the divergent master laser beam satisfies the round trip mode condition