2,189 research outputs found
Pinning and collective modes of a vortex lattice in a Bose-Einstein condensate
We consider the ground state of vortices in a rotating Bose-Einstein
condensate that is loaded in a corotating two-dimensional optical lattice. Due
to the competition between vortex interactions and their potential energy, the
vortices arrange themselves in various patterns, depending on the strength of
the optical potential and the vortex density. We outline a method to determine
the phase diagram for arbitrary vortex filling factor. Using this method, we
discuss several filling factors explicitly. For increasing strength of the
optical lattice, the system exhibits a transition from the unpinned hexagonal
lattice to a lattice structure where all the vortices are pinned by the optical
lattice. The geometry of this fully pinned vortex lattice depends on the
filling factor and is either square or triangular. For some filling factors
there is an intermediate half-pinned phase where only half of the vortices is
pinned. We also consider the case of a two-component Bose-Einstein condensate,
where the possible coexistence of the above-mentioned phases further enriches
the phase diagram. In addition, we calculate the dispersion of the low-lying
collective modes of the vortex lattice and find that, depending on the
structure of the ground state, they can be gapped or gapless. Moreover, in the
half-pinned and fully pinned phases, the collective mode dispersion is
anisotropic. Possible experiments to probe the collective mode spectrum, and in
particular the gap, are suggested.Comment: 29 pages, 4 figures, changes in section
Kinetic limitations of cooperativity based drug delivery systems
We study theoretically a novel drug delivery system that utilizes the
overexpression of certain proteins in cancerous cells for cell specific
chemotherapy. The system consists of dendrimers conjugated with "keys" (ex:
folic acid) which "key-lock" bind to particular cell membrane proteins (ex:
folate receptor). The increased concentration of "locks" on the surface leads
to a longer residence time for the dendrimer and greater incorporation into the
cell. Cooperative binding of the nanocomplexes leads to an enhancement of cell
specificity. However, both our theory and detailed analysis of in-vitro
experiments indicate that the degree of cooperativity is kinetically limited.
We demonstrate that cooperativity and hence the specificity to particular cell
type can be increased by making the strength of individual bonds weaker, and
suggest a particular implementation of this idea. The implications of the work
for optimizing the design of drug delivery vehicles are discussed.Comment: 4 pages, 4 figures, v3: minor revision
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