1,933 research outputs found
Excited states of a static dilute spherical Bose condensate in a trap
The Bogoliubov approximation is used to study the excited states of a dilute
gas of atomic bosons trapped in an isotropic harmonic potential
characterized by a frequency and an oscillator length . The self-consistent static Bose condensate has
macroscopic occupation number , with nonuniform spherical condensate
density ; by assumption, the depletion of the condensate is small (). The linearized density fluctuation operator and velocity potential operator satisfy coupled equations
that embody particle conservation and Bernoulli's theorem. For each angular
momentum , introduction of quasiparticle operators yields coupled eigenvalue
equations for the excited states; they can be expressed either in terms of
Bogoliubov coherence amplitudes and that determine the
appropriate linear combinations of particle operators, or in terms of
hydrodynamic amplitudes and . The hydrodynamic picture
suggests a simple variational approximation for that provides an upper
bound for the lowest eigenvalue and an estimate for the
corresponding zero-temperature occupation number ; both expressions
closely resemble those for a uniform bulk Bose condensate.Comment: 5 pages, RevTeX, contributed paper accepted for Low Temperature
Conference, LT21, August, 199
Energy and Vorticity in Fast Rotating Bose-Einstein Condensates
We study a rapidly rotating Bose-Einstein condensate confined to a finite
trap in the framework of two-dimensional Gross-Pitaevskii theory in the strong
coupling (Thomas-Fermi) limit. Denoting the coupling parameter by 1/\eps^2
and the rotational velocity by , we evaluate exactly the next to
leading order contribution to the ground state energy in the parameter regime
|\log\eps|\ll \Omega\ll 1/(\eps^2|\log\eps|) with \eps\to 0. While the TF
energy includes only the contribution of the centrifugal forces the next order
corresponds to a lattice of vortices whose density is proportional to the
rotational velocity.Comment: 19 pages, LaTeX; typos corrected, clarifying remarks added, some
rearrangements in the tex
Thermal van der Waals Interaction between Graphene Layers
The van de Waals interaction between two graphene sheets is studied at finite
temperatures. Graphene's thermal length controls
the force versus distance as a crossover from the zero temperature
results for , to a linear-in-temperature, universal regime for
. The large separation regime is shown to be a consequence of the
classical behavior of graphene's plasmons at finite temperature. Retardation
effects are largely irrelevant, both in the zero and finite temperature
regimes. Thermal effects should be noticeable in the van de Waals interaction
already for distances of tens of nanometers at room temperature.Comment: enlarged version, 9 pages, 4 figures, updated reference
Optimization of Storm Sewer Construction Costs Using a Microcomputer Program
When designing a storm sewer system there is a material and labor cost trade-off between changing pipe diameter for a specific flowrate while keeping physical pipe slope constant, and changing physical pipe slope for the same flowrate while keeping the pipe diameter constant.
To calculate costs associated with every possible combination of pipe diameters and excavation depth to find the optimum design for a storm sewer network without the use of a computer would be a very cumbersome task indeed. In fact, a minimum cost solution may never be found.
This paper presents a microcomputer program which assists the engineer in designing the storm sewer system for the minimum cost. The Rational Method is employed to calculate flowrates for each sub basin, Manning\u27s Equation is used to calculate pipe flow for each pipe link in the system, and complete enumeration methodology is used to determine material and labor costs for each network possibility. Material and labor costs are maintained by the engineer in a cost table file.
The work described herein represents the opinions and conclusions of the author and does not necessarily represent the views and opinions of the reviewers or the University of Central Florida
Compressible quantum phases from conformal field theories in 2+1 dimensions
Conformal field theories (CFTs) with a globally conserved U(1) charge Q can
be deformed into compressible phases by modifying their Hamiltonian, H, by a
chemical potential H -> H - \mu Q. We study 2+1 dimensional CFTs upon which an
explicit S duality mapping can be performed. We find that this construction
leads naturally to compressible phases which are superfluids, solids, or
non-Fermi liquids which are more appropriately called `Bose metals' in the
present context. The Bose metal preserves all symmetries and has Fermi surfaces
of gauge-charged fermions, even in cases where the parent CFT can be expressed
solely by bosonic degrees of freedom. Monopole operators are identified as
order parameters of the solid, and the product of their magnetic charge and Q
determines the area of the unit cell. We discuss implications for holographic
theories on asymptotically AdS4 spacetimes: S duality and monopole/dyon fields
play important roles in this connection.Comment: 30 pages, 2 figures; (v2) small corrections and more ref
Constraining the nuclear equation of state at subsaturation densities
Only one third of the nucleons in Pb occupy the saturation density
area. Consequently nuclear observables related to average properties of nuclei,
such as masses or radii, constrain the equation of state (EOS) not at
saturation density but rather around the so-called crossing density, localised
close to the mean value of the density of nuclei: 0.11 fm.
This provides an explanation for the empirical fact that several EOS quantities
calculated with various functionals cross at a density significantly lower than
the saturation one. The third derivative M of the energy at the crossing
density is constrained by the giant monopole resonance (GMR) measurements in an
isotopic chain rather than the incompressibility at saturation density. The GMR
measurements provide M=1110 70 MeV (6% uncertainty), whose extrapolation
gives K=230 40 MeV (17% uncertainty).Comment: 4 pages, 4 figure
Electron and phonon correlations in systems of one-dimensional electrons coupled to phonons
Electron and phonon correlations in systems of one-dimensional electrons
coupled to phonons are studied at low temperatures by emphasizing on the effect
of electron-phonon backward scattering. It is found that the -wave
components of the electron density and phonon displacement field share the same
correlations. Both correlations are quasi-long-ranged for a single conducting
chain coupled to one-dimensional or three-dimensional phonons, and they are
long-ranged for repulsive electron-electron interactions for a
three-dimensional array of parallel one-dimensional conducting chains coupled
to three-dimensional phonons
Normal Modes of a Vortex in a Trapped Bose-Einstein Condensate
A hydrodynamic description is used to study the normal modes of a vortex in a
zero-temperature Bose-Einstein condensate. In the Thomas-Fermi (TF) limit, the
circulating superfluid velocity far from the vortex core provides a small
perturbation that splits the originally degenerate normal modes of a
vortex-free condensate. The relative frequency shifts are small in all cases
considered (they vanish for the lowest dipole mode with |m|=1), suggesting that
the vortex is stable. The Bogoliubov equations serve to verify the existence of
helical waves, similar to those of a vortex line in an unbounded weakly
interacting Bose gas. In the large-condensate (small-core) limit, the
condensate wave function reduces to that of a straight vortex in an unbounded
condensate; the corresponding Bogoliubov equations have no bound-state
solutions that are uniform along the symmetry axis and decay exponentially far
from the vortex core.Comment: 15 pages, REVTEX, 2 Postscript figures, to appear in Phys. Rev. A. We
have altered the material in Secs. 3B and 4 in connection with the normal
modes that have |m|=1. Our present treatment satisfies the condition that the
fundamental dipole mode of a condensate with (or without) a vortex should
have the bare frequency $\omega_\perp
A Complex Chemical Potential: Signature of Decay in a Bose-Einstein Condensate
We explore the zero-temperature statics of an atomic Bose-Einstein condensate
in which a Feshbach resonance creates a coupling to a second condensate
component of quasi-bound molecules. Using a variational procedure to find the
equation of state, the appearance of this binding is manifest in a collapsing
ground state, where only the molecular condensate is present up to some
critical density. Further, an excited state is seen to reproduce the usual
low-density atomic condensate behavior in this system, but the molecular
component is found to produce an underlying decay, quantified by the imaginary
part of the chemical potential. Most importantly, the unique decay rate
dependencies on density () and on scattering length () can be measured in experimental tests of this theory.Comment: 4 pages, 1 figur
The s-wave pion-nucleus optical potential
We calculate the s-wave part of the pion-nucleus optical potential using a
unitarized chiral approach that has been previously used to simultaneously
describe pionic hydrogen and deuterium data as well as low energy pi N
scattering in the vacuum. This energy dependent model allows for additional
isoscalar parts in the potential from multiple rescattering. We consider Pauli
blocking and pion polarization in an asymmetric nuclear matter environment.
Also, higher order corrections of the pi N amplitude are included. The model
can accommodate the repulsion required by phenomenological fits, though the
theoretical uncertainties are bigger than previously thought. At the same time,
we also find an enhancement of the isovector part compatible with empirical
determinations.Comment: 31 pages, 27 figure
- …