5,126 research outputs found
Density-matrix functionals for pairing in mesoscopic superconductors
A functional theory based on single-particle occupation numbers is developed
for pairing. This functional, that generalizes the BCS approach, directly
incorporates corrections due to particle number conservation. The functional is
benchmarked with the pairing Hamiltonian and reproduces perfectly the energy
for any particle number and coupling.Comment: 4 pages, 4 figures, revised versio
Determining the Electron-Phonon Coupling Strength in Correlated Electron Systems from Resonant Inelastic X-ray Scattering
We show that high resolution Resonant Inelastic X-ray Scattering (RIXS)
provides direct, element-specific and momentum-resolved information on the
electron-phonon (e-p) coupling strength. Our theoretical analysis demonstrates
that the e-p coupling can be extracted from RIXS spectra by determining the
differential phonon scattering cross section. An alternative, very direct
manner to extract the coupling is to use the one and two-phonon loss ratio,
which is governed by the e-p coupling strength and the core-hole life-time.
This allows measurement of the e-p coupling on an absolute energy scale.Comment: 4 pages, 3 figure
Semiclassical Theory of Bardeen-Cooper-Schrieffer Pairing-Gap Fluctuations
Superfluidity and superconductivity are genuine many-body manifestations of
quantum coherence. For finite-size systems the associated pairing gap
fluctuates as a function of size or shape. We provide a parameter free
theoretical description of pairing fluctuations in mesoscopic systems
characterized by order/chaos dynamics. The theory accurately describes
experimental observations of nuclear superfluidity (regular system), predicts
universal fluctuations of superconductivity in small chaotic metallic grains,
and provides a global analysis in ultracold Fermi gases.Comment: 4 pages, 2 figure
Multipair approach to pairing in nuclei
The ground state of a general pairing Hamiltonian for a finite nuclear system
is constructed as a product of collective, real, distinct pairs. These are
determined sequentially via an iterative variational procedure that resorts to
diagonalizations of the Hamiltonian in restricted model spaces. Different
applications of the method are provided that include comparisons with exact and
projected BCS results. The quantities that are examined are correlation
energies, occupation numbers and pair transfer matrix elements. In a first
application within the picket-fence model, the method is seen to generate the
exact ground state for pairing strengths confined in a given range. Further
applications of the method concern pairing in spherically symmetric mean fields
and include simple exactly solvable models as well as some realistic
calculations for middle-shell Sn isotopes. In the latter applications, two
different ways of defining the pairs are examined: either with J=0 or with no
well-defined angular momentum. The second choice reveals to be more effective
leading, under some circumstances, to solutions that are basically exact.Comment: To appear in Physical Review
Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
In the past decade, Resonant Inelastic X-ray Scattering (RIXS) has made
remarkable progress as a spectroscopic technique. This is a direct result of
the availability of high-brilliance synchrotron X-ray radiation sources and of
advanced photon detection instrumentation. The technique's unique capability to
probe elementary excitations in complex materials by measuring their energy-,
momentum-, and polarization-dependence has brought RIXS to the forefront of
experimental photon science. We review both the experimental and theoretical
RIXS investigations of the past decade, focusing on those determining the
low-energy charge, spin, orbital and lattice excitations of solids. We present
the fundamentals of RIXS as an experimental method and then review the
theoretical state of affairs, its recent developments and discuss the different
(approximate) methods to compute the dynamical RIXS response. The last decade's
body of experimental RIXS data and its interpretation is surveyed, with an
emphasis on RIXS studies of correlated electron systems, especially transition
metal compounds. Finally, we discuss the promise that RIXS holds for the near
future, particularly in view of the advent of x-ray laser photon sources.Comment: Review, 67 pages, 44 figure
Particle-Number Projection and the Density Functional Theory
In the framework of the Density Functional Theory for superconductors, we
study the restoration of the particle number symmetry by means of the
projection technique. Conceptual problems are outlined and numerical
difficulties are discussed. Both are related to the fact that neither the
many-body Hamiltonian nor the wave function of the system appear explicitly in
the Density Functional Theory. Similar obstacles are encountered in
self-consistent theories utilizing density-dependent effective interactions.Comment: 18 RevTex pages, 12 figures, submitted to Physical Review
Diamond electro-optomechanical resonators integrated in nanophotonic circuits
Diamond integrated photonic devices are promising candidates for emerging
applications in nanophotonics and quantum optics. Here we demonstrate active
modulation of diamond nanophotonic circuits by exploiting mechanical degrees of
freedom in free-standing diamond electro-optomechanical resonators. We obtain
high quality factors up to 9600, allowing us to read out the driven
nanomechanical response with integrated optical interferometers with high
sensitivity. We are able to excite higher order mechanical modes up to 115 MHz
and observe the nanomechanical response also under ambient conditions.Comment: 15 pages, 4 figure
Destroying superfluidity by rotating a Fermi gas at unitarity
We study the effect of the rotation on a harmonically trapped Fermi gas at
zero temperature under the assumption that vortices are not formed. We show
that at unitarity the rotation produces a phase separation between a non
rotating superfluid (S) core and a rigidly rotating normal (N) gas. The
interface between the two phases is characterized by a density discontinuity
, independent of the angular velocity. The depletion
of the superfluid and the angular momentum of the rotating configuration are
calculated as a function of the angular velocity. The conditions of stability
are also discussed and the critical angular velocity for the onset of a
spontaneous quadrupole deformation of the interface is evaluated.Comment: 5 pages, 4 figures; comments added; 2 figures changed according to
new results; inset Fig.2 corrected; accepted for publication in Phys. Rev.
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Quantum hierarchic models for information processing
Both classical and quantum computations operate with the registers of bits.
At nanometer scale the quantum fluctuations at the position of a given bit,
say, a quantum dot, not only lead to the decoherence of quantum state of this
bit, but also affect the quantum states of the neighboring bits, and therefore
affect the state of the whole register. That is why the requirement of reliable
separate access to each bit poses the limit on miniaturization, i.e, constrains
the memory capacity and the speed of computation. In the present paper we
suggest an algorithmic way to tackle the problem of constructing reliable and
compact registers of quantum bits. We suggest to access the states of quantum
register hierarchically, descending from the state of the whole register to the
states of its parts. Our method is similar to quantum wavelet transform, and
can be applied to information compression, quantum memory, quantum
computations.Comment: 14 pages, LaTeX, 1 eps figur
Analytical approximation for the sphere-sphere Coulomb potential
A simple analytical expression, which closely approximates the Coulomb
potential between two uniformly charged spheres, is presented. This expression
can be used in the optical potential semiclassical analyses which require that
the interaction be analytic on and near the real r-axis.Comment: 4 pages including 3 figures and 1 tabl
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