8,449 research outputs found
Shaping interactions between polar molecules with far-off-resonant light
We show that dressing polar molecules with a far-off-resonant optical field
leads to new types of intermolecular potentials, which undergo a crossover from
the inverse-power to oscillating behavior depending on the intermolecular
distance, and whose parameters can be tuned by varying the laser intensity and
wavelength. We present analytic expressions for the potential energy surfaces,
thereby providing direct access to the parameters of an optical field required
to design intermolecular interactions experimentally.Comment: 4 pages, 3 figure
Connection between two forms of extra-dimensional metrics revisited
5D cosmological model with 3-brane with matter is considered. The brane
divides bulk in two AdS half spaces. Geometry of the model can be described by
two types of coordinates: in the first setting the metric is static and the
brane is moving in the bulk, in the second approach the metric is
time-dependent and the brane is located at a fixed position in the bulk.
Coordinate transformation connecting two coordinate systems is constructed.Comment: 7 page
The Hopf algebra of odd symmetric functions
We consider a q-analogue of the standard bilinear form on the commutative
ring of symmetric functions. The q=-1 case leads to a Z-graded Hopf
superalgebra which we call the algebra of odd symmetric functions. In the odd
setting we describe counterparts of the elementary and complete symmetric
functions, power sums, Schur functions, and combinatorial interpretations of
associated change of basis relations.Comment: 43 pages, 12 figures. v2: some correction
Ultralong-range order in the Fermi-Hubbard model with long-range interactions
We use the dual boson approach to reveal the phase diagram of the
Fermi-Hubbard model with long-range dipole-dipole interactions. By using a
large-scale finite-temperature calculation on a square lattice
we demonstrate the existence of a novel phase, possessing an `ultralong-range'
order. The fingerprint of this phase -- the density correlation function --
features a non-trivial behavior on a scale of tens of the lattice sites. We
study the properties and the stability of the ultralong-range ordered phase,
and show that it is accessible in modern experiments with ultracold polar
molecules and magnetic atoms
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