239 research outputs found
Condensate fraction in metallic superconductors and ultracold atomic vapors
We investigate the condensate density and the condensate fraction of
conduction electrons in weak-coupling superconductors by using the BCS theory
and the concept of off-diagonal-long-range-order. We discuss the analytical
formula of the zero-temperature condensate density of Cooper pairs as a
function of Debye frequency and energy gap, and calculate the condensate
fraction for some metals. We study the density of Cooper pairs also at finite
temperature showing its connection with the gap order parameter and the effects
of the electron-phonon coupling. Finally, we analyze similarities and
differences between superconductors and ultracold Fermi atoms in the
determination of their condensate density by using the BCS theory.Comment: 14 pages, 1 figure, 1 table, to be published in 'Fermions: Flavors,
Properties, and Types' (Nova Science Publishers, New York)
Pulsed Quantum Tunneling with Matter Waves
In this report we investigate the macroscopic quantum tunneling of a Bose
condensate falling under gravity and scattering on a Gaussian barrier that
could model a mirror of far-detuned sheet of light. We analyze the effect of
the inter-atomic interaction and that of a transverse confining potential. We
show that the quantum tunneling can be quasi-periodic and in this way one could
generate coherent Bose condensed atomic pulses. In the second part of the
report, we discuss an effective 1D time-dependent non-polynomial nonlinear
Schrodinger equation (NPSE), which describes cigar-shaped condensates. NPSE is
obtained from the 3D Gross-Pitaevskii equation by using a variational approach.
We find that NPSE gives much more accurate results than all other effective 1D
equations recently proposed.Comment: 9 pages, 5 figures, report for the X International Laser Physics
Workshop, Seminar on Bose-Einstein Condensation of Trapped Atoms, Moscow,
July 3-7, 200
Classical and Quantum Perturbation Theory for two Non--Resonant Oscillators with Quartic Interaction
We study the classical and quantum perturbation theory for two non--resonant
oscillators coupled by a nonlinear quartic interaction. In particular we
analyze the question of quantum corrections to the torus quantization of the
classical perturbation theory (semiclassical mechanics). We obtain up to the
second order of perturbation theory an explicit analytical formula for the
quantum energy levels, which is the semiclassical one plus quantum corrections.
We compare the "exact" quantum levels obtained numerically to the semiclassical
levels studying also the effects of quantum corrections.Comment: 11 pages, Latex, no figures, to be published in Meccanic
Instabilities, Point Attractors and Limit Cycles in a Inflationary Universe
We study the stability of a scalar inflaton field and analyze its point
attractors in the phase space. We show that the value of the inflaton field in
the vacuum is a bifurcation parameter and prove the possible existence of a
limit cycle by using analytical and numerical arguments.Comment: Latex, 11 pages, 3 figures (available upon request), to be published
in Modern Physics Letters
Reply to a Comment on "the Role of Dimensionality in the Stability of a Confined Condensed Bose Gas"
As pointed out by the authors of the comment quant-ph/9712046, in our paper
quant-ph/9712030 we studied in detail the metastability of a Bose-Einstein
Condensate (BEC) confined in an harmonic trap with zero-range interaction. As
well known, the BEC with attractive zero-range interaction is not stable but
can be metastable. In our paper we analyzed the role of dimensionality for the
metastability of the BEC with attractive and repulsive interaction.Comment: 4 pages, Latex, no figure
Particles and Anti-Particles in a Relativistic Bose Condensate
We study the Bose-Einstein condensation (BEC) for a relativistic ideal gas of
bosons. In the framework of canonical thermal field theory, we analyze the role
of particles and anti-particles in the determination of BEC transition
temperature. At the BEC transition point we obtain two universal curves, i.e.
valid for any mass value: the scaled critical temperature as a function of the
scaled charge density of the Bose system, and the density ratio of
anti-particles versus the scaled critical temperature. Moreover, we numerically
investigate charge densities and condensed fraction ranging from the
non-relativistic to the ultra-relativistic temperature, where analytical
results are obtained.Comment: RevTex, 16 pages, 4 figures, to be published in Nuovo Cimento
On the Limit Cycle of an Inflationary Universe
We study the dynamics of a scalar inflaton field with a symmetric
double--well potential and prove rigorously the existence of a limit cycle in
its phase space. By using analytical and numerical arguments we show that the
limit cycle is stable and give an analytical formula for its period.Comment: Latex, 11 pages, 3 figures (available upon request), to be published
in Nuovo Cimento
On the Torus Quantization of Two Anyons with Coulomb Interaction in a Magnetic Field
We study two anyons with Coulomb interaction in a uniform magnetic field .
By using the torus quantization we obtain the modified Landau and Zeeman
formulas for the two anyons. Then we derive a simple algebraic equation for the
full spectral problem up to the second order in .Comment: latex, 10 pages, to be published in Modern Physics Letters
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