4,021 research outputs found
Squeezing as an irreducible resource
We show that squeezing is an irreducible resource which remains invariant
under transformations by linear optical elements. In particular, we give a
decomposition of any optical circuit with linear input-output relations into a
linear multiport interferometer followed by a unique set of single mode
squeezers and then another multiport interferometer. Using this decomposition
we derive a no-go theorem for superpositions of macroscopically distinct states
from single-photon detection. Further, we demonstrate the equivalence between
several schemes for randomly creating polarization-entangled states. Finally,
we derive minimal quantum optical circuits for ideal quantum non-demolition
coupling of quadrature-phase amplitudes.Comment: 4 pages, 3 figures, new title, removed the fat
Electromagnetic transition strengths in soft deformed nuclei
Spectroscopic observables such as electromagnetic transitions strengths can
be related to the properties of the intrinsic mean-field wave function when the
latter are strongly deformed, but the standard rotational formulas break down
when the deformation decreases. Nevertheless there is a well-defined, non-zero,
spherical limit that can be evaluated in terms of overlaps of mean-field
intrinsic deformed wave functions. We examine the transition between the
spherical limit and strongly deformed one for a range of nuclei comparing the
two limiting formulas with exact projection results. We find a simple criterion
for the validity of the rotational formula depending on ,
the mean square fluctuation in the angular momentum of the intrinsic state. We
also propose an interpolation formula which describes the transition strengths
over the entire range of deformations, reducing to the two simple expressions
in the appropriate limits.Comment: 16 pages, 5 figures, supplemental material include
Cooper pair sizes in superfluid nuclei in a simplified model
Cooper pair sizes are evaluated in a simple harmonic oscillator model
reproducing the values of sophisticated HFB calculations. Underlying reasons
for the very small sizes of 2.0-2.5 fm of Cooper pairs in the surface of nuclei
are analysed. It is shown that the confining properties of the nuclear volume
is the dominating effect. It is argued that for Cooper pair sizes LDA is
particularly inadapted.Comment: 8 pages, 6 figure
BCS-BEC Crossover in Symmetric Nuclear Matter at Finite Temperature: Pairing Fluctuation and Pseudogap
By adopting a -matrix based method within approximation for the
pair susceptibility, we studied the effects of pairing fluctuation on the
BCS-BEC crossover in symmetric nuclear matter. The pairing fluctuation induces
a pseudogap in the excitation spectrum of nucleon in both superfluid and normal
phases. The critical temperature of superfluid transition was calculated. It
differs from the BCS result remarkably when density is low. We also computed
the specific heat which shows a nearly ideal BEC type temperature dependence at
low density but a BCS type behavior at high density. This qualitative change of
the temperature dependence of specific heat may serve as a thermodynamic signal
for BCS-BEC crossover.Comment: 11 pages,11 figures,1 table, published version in Phys. Rev. C
Constraining the nuclear equation of state at subsaturation densities
Only one third of the nucleons in Pb occupy the saturation density
area. Consequently nuclear observables related to average properties of nuclei,
such as masses or radii, constrain the equation of state (EOS) not at
saturation density but rather around the so-called crossing density, localised
close to the mean value of the density of nuclei: 0.11 fm.
This provides an explanation for the empirical fact that several EOS quantities
calculated with various functionals cross at a density significantly lower than
the saturation one. The third derivative M of the energy at the crossing
density is constrained by the giant monopole resonance (GMR) measurements in an
isotopic chain rather than the incompressibility at saturation density. The GMR
measurements provide M=1110 70 MeV (6% uncertainty), whose extrapolation
gives K=230 40 MeV (17% uncertainty).Comment: 4 pages, 4 figure
BEC-BCS Crossover and the Liquid-Gas Phase Transition in Hot and Dense Nuclear Matter
The effect of nucleon-nucleon correlations in symmetric nuclear matter at
finite temperature is studied beyond BCS theory. Starting from a Hartree-Fock
description of nuclear matter with the Gogny effective interaction, we add
correlations corresponding to the formation of preformed pairs and scattering
states above the superfluid critical temperature within the in-medium T-matrix
approach, which is analogous to the Nozieres-Schmitt-Rink theory. We calculate
the critical temperature for a BEC superfluid of deuterons, of a BCS superfluid
of nucleons, and in the crossover between these limits. The effect of the
correlations on thermodynamic properties (equation of state, energy, entropy)
and the liquid-gas phase transition is discussed. Our results show that
nucleon-nucleon correlations beyond BCS play an important role for the
properties of nuclear matter, especially in the low-density region.Comment: 11 pages, 12 figures; v2: minor modifications of the text, references
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Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
The framework of relativistic self-consistent mean-field models is extended
to include correlations related to the restoration of broken symmetries and to
fluctuations of collective variables. The generator coordinate method is used
to perform configuration mixing of angular-momentum and particle-number
projected relativistic wave functions. The geometry is restricted to axially
symmetric shapes, and the intrinsic wave functions are generated from the
solutions of the relativistic mean-field + Lipkin-Nogami BCS equations, with a
constraint on the mass quadrupole moment. The model employs a relativistic
point-coupling (contact) nucleon-nucleon effective interaction in the
particle-hole channel, and a density-independent -interaction in the
pairing channel. Illustrative calculations are performed for Mg,
S and Ar, and compared with results obtained employing the model
developed in the first part of this work, i.e. without particle-number
projection, as well as with the corresponding non-relativistic models based on
Skyrme and Gogny effective interactions.Comment: 37 pages, 10 figures, submitted to Physical Review
Coupling of hydrodynamics and quasiparticle motion in collective modes of superfluid trapped Fermi gases
At finite temperature, the hydrodynamic collective modes of superfluid
trapped Fermi gases are coupled to the motion of the normal component, which in
the BCS limit behaves like a collisionless normal Fermi gas. The coupling
between the superfluid and the normal components is treated in the framework of
a semiclassical transport theory for the quasiparticle distribution function,
combined with a hydrodynamic equation for the collective motion of the
superfluid component. We develop a numerical test-particle method for solving
these equations in the linear response regime. As a first application we study
the temperature dependence of the collective quadrupole mode of a Fermi gas in
a spherical trap. The coupling between the superfluid collective motion and the
quasiparticles leads to a rather strong damping of the hydrodynamic mode
already at very low temperatures. At higher temperatures the spectrum has a
two-peak structure, the second peak corresponding to the quadrupole mode in the
normal phase.Comment: 14 pages; v2: major changes (effect of Hartree field included
Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
We report the first study of restoration of rotational symmetry and
fluctuations of the quadrupole deformation in the framework of relativistic
mean-field models. A model is developed which uses the generator coordinate
method to perform configuration mixing calculations of angular momentum
projected wave functions, calculated in a relativistic point-coupling model.
The geometry is restricted to axially symmetric shapes, and the intrinsic wave
functions are generated from the solutions of the constrained relativistic
mean-field + BCS equations in an axially deformed oscillator basis. A number of
illustrative calculations are performed for the nuclei 194Hg and 32Mg, in
comparison with results obtained in non-relativistic models based on Skyrme and
Gogny effective interactions.Comment: 32 pages, 14 figures, submitted to Phys. Rev.
Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings
Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent
meson-nucleon couplings is presented. The integro-differential RHFB equations
are solved by expanding the different components of the quasi-particle spinors
in the complete set of eigen-solutions of the Dirac equations with Woods-Saxon
potentials. Using the finite-range Gogny force D1S as an effective interaction
in the pairing channel, systematic RHFB calculations are performed for Sn
isotopes and N=82 isotones. It is demonstrated that an appropriate description
of both mean field and pairing effects can be obtained within RHFB theory with
finite range Gogny pairing forces. Better systematics are also found in the
regions from the stable to the neutron-rich side with the inclusion of Fock
terms, especially in the presence of -tensor couplings.Comment: 11 pages, 2 tables and 4 figure
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