8,272 research outputs found
Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
Correlation functions related to the dynamic density response of the
one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An
exact Bose-Fermi mapping is used to work in a fermionic representation with a
pseudopotential Hamiltonian. The Hartree-Fock and generalized random phase
approximations are derived and the dynamic polarizability is calculated. The
results are valid to first order in 1/\gamma where \gamma is Lieb-Liniger
coupling parameter. Approximations for the dynamic and static structure factor
at finite temperature are presented. The results preclude superfluidity at any
finite temperature in the large-\gamma regime due to the Landau criterion. Due
to the exact Bose-Fermi duality, the results apply for spinless fermions with
weak p-wave interactions as well as for strongly interacting bosons.Comment: 13 pages, 5 figures, the journal versio
Population synthesis of old neutron stars in the Galaxy
The paucity of old isolated accreting neutron stars in ROSAT observations is
used to derive a lower limit on the mean velocity of neutron stars at birth.
The secular evolution of the population is simulated following the paths of a
statistical sample of stars for different values of the initial kick velocity,
drawn from an isotropic Gaussian distribution with mean velocity . The spin-down, induced by dipole losses and the
interaction with the ambient medium, is tracked together with the dynamical
evolution in the Galactic potential, allowing for the determination of the
fraction of stars which are, at present, in each of the four possible stages:
Ejector, Propeller, Accretor, and Georotator. Taking from the ROSAT All Sky
Survey an upper limit of accreting neutron stars within pc
from the Sun, we infer a lower bound for the mean kick velocity, \ga
200-300 . The same conclusion is reached for both a constant
( G) and a magnetic field decaying exponentially with a
timescale yr. Present results, moreover, constrain the fraction of
low velocity stars, which could have escaped pulsar statistics, to \la 1%.Comment: 8 pages, 4 PostScript figures, to appear in the proceedings of IAU
Symposium 19
Two-mirror Schwarzschild aplanats. Basic relations
It is shown that the theory of aplanatic two-mirror telescopes developed by
Karl Schwarzschild in 1905 leads to the unified description both the prefocal
and the postfocal systems. The class of surfaces in the ZEMAX optical program
has been properly extended to ascertain the image quality in exact
Schwarzschild aplanats. A comparison of Schwarzschild aplanats with approximate
Ritchey-Chretien and Gregory-Maksutov aplanatic telescopes reveals a noticeable
advantage of the former at fast focal ratio of the system.Comment: 19 page
Infrared behavior in systems with a broken continuous symmetry: classical O(N) model vs interacting bosons
In systems with a spontaneously broken continuous symmetry, the perturbative
loop expansion is plagued with infrared divergences due to the coupling between
transverse and longitudinal fluctuations. As a result the longitudinal
susceptibility diverges and the self-energy becomes singular at low energy. We
study the crossover from the high-energy Gaussian regime, where perturbation
theory remains valid, to the low-energy Goldstone regime characterized by a
diverging longitudinal susceptibility. We consider both the classical linear
O() model and interacting bosons at zero temperature, using a variety of
techniques: perturbation theory, hydrodynamic approach (i.e., for bosons,
Popov's theory), large- limit and non-perturbative renormalization group. We
emphasize the essential role of the Ginzburg momentum scale below which
the perturbative approach breaks down. Even though the action of
(non-relativistic) bosons includes a first-order time derivative term, we find
remarkable similarities in the weak-coupling limit between the classical O()
model and interacting bosons at zero temperature.Comment: v2) 19 pages, 8 figure
Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
We calculate the density profiles and density correlation functions of the
one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature
solutions for the uniform case, and applying a local density approximation. The
results are valid for a trapping potential which is slowly varying relative to
a correlation length. They allow a direct experimental test of the transition
from the weak coupling Gross-Pitaevskii regime to the strong coupling,
'fermionic' Tonks-Girardeau regime. We also calculate the average two-particle
correlation which characterizes the bulk properties of the sample, and find
that it can be well approximated by the value of the local pair correlation in
the trap center.Comment: Final published version; updated references; 19 pages, 12 figure
Quantum effects in the radial thermal expansion of bundles of single-walled carbon nanotubes doped with 4He
The radial thermal expansion (ar) of bundles of single-walled carbon
nanotubes saturated with 4He impurities to the molar concentration 9.4% has
been investigated in the interval 2.5-9.5 K using the dilatometric method. In
the interval 2.1-3.7 K (ar) is negative and is several times higher than the
negative (ar) for pure nanotube bundles. This most likely points to 4He atom
tunneling between different positions in the nanotube bundle system. The excess
expansion was reduced with decreasing 4He concentration.Comment: 4 pages, 1 figure, will be published in Fiz.Nizk Temp. #7, 201
Inversionless gain in a three-level system driven by a strong field and collisions
Inversionless gain in a three-level system driven by a strong external field
and by collisions with a buffer gas is investigated. The mechanism of
populating of the upper laser level contributed by the collision transfer as
well as by relaxation caused by a buffer gas is discussed in detail. Explicit
formulae for analysis of optimal conditions are derived. The mechanism
developed here for the incoherent pump could be generalized to other systems.Comment: RevTeX, 9 pages, 4 eps figure
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