52,523 research outputs found
Kinklike structures in scalar field theories: from one-field to two-field models
In this paper we study the possibility of constructing two-field models from
one-field models. The idea is to start with a given one-field model and use the
deformation procedure to generate another one-field model, and then couple the
two one-field models nontrivially, to get to a two-field model, together with
some explicit topological solutions. We show with several distinct examples
that the procedure works nicely and can be used generically.Comment: 8 pages; version to appear in Phys. Lett.
Loading of a Bose-Einstein condensate in the boson-accumulation regime
We study the optical loading of a trapped Bose-Einstein condensate by
spontaneous emission of atoms in excited electronic state in the
Boson-Accumulation Regime. We generalize the previous simplified analysis of
ref. [Phys. Rev. A 53, 2466 (1996)], to a 3D case in which more than one trap
level of the excited state trap is considered. By solving the corresponding
quantum many-body master equation, we demonstrate that also for this general
situation the photon reabsorption can help to increase the condensate fraction.
Such effect could be employed to realize a continuous atom laser, and to
overcome condensate losses.Comment: 7 pages, 5 eps figures, uses epl.st
Heat capacity of square-well fluids of variable width
We have obtained by Monte Carlo NVT simulations the constant-volume excess
heat capacity of square-well fluids for several temperatures, densities and
potential widths. Heat capacity is a thermodynamic property much more sensitive
to the accuracy of a theory than other thermodynamic quantities, such as the
compressibility factor. This is illustrated by comparing the reported
simulation data for the heat capacity with the theoretical predictions given by
the Barker-Henderson perturbation theory as well as with those given by a
non-perturbative theoretical model based on Baxter's solution of the
Percus-Yevick integral equation for sticky hard spheres. Both theories give
accurate predictions for the equation of state. By contrast, it is found that
the Barker-Henderson theory strongly underestimates the excess heat capacity
for low to moderate temperatures, whereas a much better agreement between
theory and simulation is achieved with the non-perturbative theoretical model,
particularly for small well widths, although the accuracy of the latter worsens
for high densities and low temperatures, as the well width increases.Comment: 11 pages, 4 figures; figures now include additional perturbation
data; to be published in Mol. Phy
Coherent State Path Integrals in the Weyl Representation
We construct a representation of the coherent state path integral using the
Weyl symbol of the Hamiltonian operator. This representation is very different
from the usual path integral forms suggested by Klauder and Skagerstan in
\cite{Klau85}, which involve the normal or the antinormal ordering of the
Hamiltonian. These different representations, although equivalent quantum
mechanically, lead to different semiclassical limits. We show that the
semiclassical limit of the coherent state propagator in Weyl representation is
involves classical trajectories that are independent on the coherent states
width. This propagator is also free from the phase corrections found in
\cite{Bar01} for the two Klauder forms and provides an explicit connection
between the Wigner and the Husimi representations of the evolution operator.Comment: 23 page
Wigner-Moyal description of free variable mass Klein-Gordon fields
A system of coupled kinetic transport equations for the Wigner distributions
of a free variable mass Klein-Gordon field is derived. This set of equations is
formally equivalent to the full wave equation for electromagnetic waves in
nonlinear dispersive media, thus allowing for the description of broadband
radiation-matter interactions and the associated instabilities. The standard
results for the classical wave action are recovered in the short wavelength
limit of the generalized Wigner-Moyal formalism for the wave equation.Comment: 9 pages, accepted for publication in Journal of Mathematical Physic
- …