553 research outputs found
Do the Age of the Universe and the Hubble Constant Depend on What Scale One Observes Them?
The apparent cosmological conflict between the age of the Universe, predicted
in the standard Friedman cosmology by using the recent measurement of the
larger Hubble constant from a direct calibration of the distance to the Virgo
galaxy cluster, and the ages of the oldest stars and globular clusters is
resolved by invoking the scale dependence of cosmological quantities, including
the age of the Universe. The distance dependence or the running of cosmological
quantities is motivated by the asymptotically-free higher- derivative quantum
gravity. The running can also be derived by ``properly" modifying the Friedman
equations. This property can also provide partial explanation of the apparent
disagreement between the two recent measurements of the Hubble constant using
NGC 4571 at 15 Mpc and NGC 5253 at 4 Mpc.Comment: Revtex file, 9 pages (no figures
Quantum Kinetic Theory III: Quantum kinetic master equation for strongly condensed trapped systems
We extend quantum kinetic theory to deal with a strongly Bose-condensed
atomic vapor in a trap. The method assumes that the majority of the vapor is
not condensed, and acts as a bath of heat and atoms for the condensate. The
condensate is described by the particle number conserving Bogoliubov method
developed by one of the authors. We derive equations which describe the
fluctuations of particle number and phase, and the growth of the Bose-Einstein
condensate. The equilibrium state of the condensate is a mixture of states with
different numbers of particles and quasiparticles. It is not a quantum
superposition of states with different numbers of particles---nevertheless, the
stationary state exhibits the property of off-diagonal long range order, to the
extent that this concept makes sense in a tightly trapped condensate.Comment: 3 figures submitted to Physical Review
The Rolling Tachyon as a Matrix Model
We express all correlation functions in timelike boundary Liouville theory as
unitary matrix integrals and develop efficient techniques to evaluate these
integrals. We compute large classes of correlation functions explicitly,
including an infinite number of terms in the boundary state of the rolling
tachyon. The matrix integrals arising here also determine the correlation
functions of gauge invariant operators in two dimensional Yang-Mills theory,
suggesting an equivalence between the rolling tachyon and QCD_2.Comment: 22pages. 3 figures. v2: added reference, fixed minor typo
A particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaevskii equation for a highly condensed Bose gas
The Bogoliubov method for the excitation spectrum of a Bose-condensed gas is
generalized to apply to a gas with an exact large number of particles.
This generalization yields a description of the Schr\"odinger picture field
operators as the product of an annihilation operator for the total number
of particles and the sum of a ``condensate wavefunction'' and a phonon
field operator in the form when the field operator acts on the N particle subspace. It
is then possible to expand the Hamiltonian in decreasing powers of ,
an thus obtain solutions for eigenvalues and eigenstates as an asymptotic
expansion of the same kind. It is also possible to compute all matrix elements
of field operators between states of different N.Comment: RevTeX, 11 page
Exciting, Cooling And Vortex Trapping In A Bose-Condensed Gas
A straight forward numerical technique, based on the Gross-Pitaevskii
equation, is used to generate a self-consistent description of
thermally-excited states of a dilute boson gas. The process of evaporative
cooling is then modelled by following the time evolution of the system using
the same equation. It is shown that the subsequent rethermalisation of the
thermally-excited state produces a cooler coherent condensate. Other results
presented show that trapping vortex states with the ground state may be
possible in a two-dimensional experimental environment.Comment: 9 pages, 7 figures. It's worth the wait! To be published in Physical
Review A, 1st February 199
Geodesic motions in extraordinary string geometry
The geodesic properties of the extraordinary vacuum string solution in (4+1)
dimensions are analyzed by using Hamilton-Jacobi method. The geodesic motions
show distinct properties from those of the static one. Especially, any freely
falling particle can not arrive at the horizon or singularity. There exist
stable null circular orbits and bouncing timelike and null geodesics. To get
into the horizon {or singularity}, a particle need to follow a non-geodesic
trajectory. We also analyze the orbit precession to show that the precession
angle has distinct features for each geometry such as naked singularity, black
string, and wormhole.Comment: 15 pages, 11 figure
Nonlinear Spinor Fields and its role in Cosmology
Different characteristic of matter influencing the evolution of the Universe
has been simulated by means of a nonlinear spinor field. Exploiting the spinor
description of perfect fluid and dark energy evolution of the Universe given by
an anisotropic Bianchi type-VI, VI, V, III, I or isotropic
Friedmann-Robertson-Walker (FRW) one has been studied. It is shown that due to
some restrictions on metric functions, initial anisotropy in the models Bianchi
type-VI, VI, V and III does not die away, while the anisotropic Bianchi
type-I models evolves into the isotropic one.Comment: 22 pages, 12 Figure
Variational self-consistent theory for trapped Bose gases at finite temperature
We apply the time-dependent variational principle of Balian-V\'en\'eroni to a
system of self-interacting trapped bosons at finite temperature. The method
leads to a set of coupled non-linear time dependent equations for the
condensate density, the thermal cloud and the anomalous density. We solve
numerically these equations in the static case for a harmonic trap. We analyze
the various densities as functions of the radial distance and the temperature.
We find an overall good qualitative agreement with recent experiments as well
as with the results of many theoretical groups. We also discuss the behavior of
the anomalous density at low temperatures owing to its importance to account
for many-body effects.Comment: 8 pages, 8 figure
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