5,983 research outputs found
Instanton theory for bosons in disordered speckle potential
We study the tail of the spectrum for non-interacting bosons in a
blue-detuned random speckle potential. Using an instanton approach we derive
the asymptotic behavior of the density of states in d dimensions. The leading
corrections resulting from fluctuations around the saddle point solution are
obtained by means of the Gel'fand-Yaglom method generalized to functional
determinants with zero modes. We find a good agreement with the results of
numerical simulations in one dimension. The effect of weak repulsive
interactions in the Lifshitz tail is also discussed.Comment: 12 pages, 3 figures, revtex
Wave function correlations and the AC conductivity of disordered wires beyond the Mott-Berezinskii law
In one-dimensional disordered wires electronic states are localized at any
energy. Correlations of the states at close positive energies and the AC
conductivity in the limit of small frequency are described by
the Mott-Berezinskii theory. We revisit the instanton approach to the
statistics of wave functions and AC transport valid in the tails of the
spectrum (large negative energies). Applying our recent results on functional
determinants, we calculate exactly the integral over gaussian fluctuations
around the exact two-instanton saddle point. We derive correlators of wave
functions at different energies beyond the leading order in the energy
difference. This allows us to calculate corrections to the Mott-Berezinskii law
(the leading small frequency asymptotic behavior of ) which
approximate the exact result in a broad range of . We compare our
results with the ones obtained for positive energies.Comment: 7 pages, 3 figure
Why does the Jeans Swindle work?
When measuring the mass profile of any given cosmological structure through
internal kinematics, the distant background density is always ignored. This
trick is often refereed to as the "Jeans Swindle". Without this trick a
divergent term from the background density renders the mass profile undefined,
however, this trick has no formal justification. We show that when one includes
the expansion of the Universe in the Jeans equation, a term appears which
exactly cancels the divergent term from the background. We thereby establish a
formal justification for using the Jeans Swindle.Comment: 5 pages, 2 figures, Accepted for publication in MNRAS Letter
Atom-molecule theory of broad Feshbach resonances
We derive the atom-molecule theory for an atomic gas near a broad Feshbach
resonance, where the energy dependence of the atom-molecule coupling becomes
crucial for understanding experimental results. We show how our many-body
theory incorporates the two-atom physics exactly. In particular, we calculate
the magnetic moment of a two-component gas of ^{6}Li atoms for a wide range of
magnetic fields near the broad Feshbach resonance at about 834 Gauss. We find
excellent agreement with the experiment of Jochim et al. [Phys. Rev. Lett. 91,
240402 (2003)].Comment: 4 pages, 2 figure
Crossover temperature of Bose-Einstein condensation in an atomic Fermi gas
We show that in an atomic Fermi gas near a Feshbach resonance the crossover
between a Bose-Einstein condensate of diatomic molecules and a Bose-Einstein
condensate of Cooper pairs occurs at positive detuning, i.e., when the
molecular energy level lies in the two-atom continuum. We determine the
crossover temperature as a function of the applied magnetic field and find
excellent agreement with the experiment of Regal et al. [Phys. Rev. Lett. 92,
040403 (2004)] that has recently observed this crossover temperature.Comment: 4 pages, 2 figure
Localized states and interaction induced delocalization in Bose gases with quenched disorder
Very diluted Bose gas placed into a disordered environment falls into a
fragmented localized state. At some critical density the repulsion between
particles overcomes the disorder. The gas transits into a coherent superfluid
state. In this article the geometrical and energetic characteristics of the
localized state at zero temperature and the critical density at which the
quantum phase transition from the localized to the superfluid state proceeds
are found.Comment: 17 pages, 5 figur
The bosonic Kondo effect
The Kondo effect is associated with the formation of a many-body ground state
that contains a quantum-mechanical entanglement between a (localized) fermion
and the free fermions. We show that a bosonic version of the Kondo effect can
occur in degenerate atomic Fermi gases near the Feshbach resonance. We also
discuss how this bosonic Kondo effect can be observed experimentally.Comment: 4 pages, 2 figures, some references added, some removed. More
comments adde
Phenomenological interpolation of the inclusive J/psi cross section to proton-proton collisions at 2.76 TeV and 5.5 TeV
We present a study of the inclusive J/psi cross section at 2.76 TeV and 5.5
TeV. The energy dependence of the cross section, rapidity and transverse
momentum distributions are evaluated phenomenologically. Their knowledge is
crucial as a reference for the interpretation of A-A and p-A J/psi results at
the LHC. Our approach is the following: first, we estimate the energy evolution
of the pt-integrated J/psi cross section at mid-rapidity; then, we evaluate the
rapidity dependence; finally, we study the transverse momentum distribution
trend. Whenever possible, both theory driven (based on pQCD predictions) and
functional form (data driven fits) calculations are discussed. Our predictions
are compared with the recently obtained results by the ALICE collaboration in
pp collisions at 2.76 TeV.Comment: 23 pages, 19 figures, updated text+figures, added comparison to ALICE
measurements at 2.76Te
- …