1,545,789 research outputs found
Time-dependent numerical renormalization group method for multiple quenches: towards exact results for the long time limit of thermodynamic observables and spectral functions
We develop an alternative time-dependent numerical renormalization group
(TDNRG) formalism for multiple quenches and implement it to study the response
of a quantum impurity system to a general pulse. Within this approach, we
reduce the contribution of the NRG approximation to numerical errors in the
time evolution of observables by a formulation that avoids the use of the
generalized overlap matrix elements in our previous multiple-quench TDNRG
formalism [Nghiem {\em et al.,} Phys. Rev. B {\bf 89}, 075118 (2014); Phys.
Rev. B {\bf 90}, 035129 (2014)]. We demonstrate that the formalism yields a
smaller cumulative error in the trace of the projected density matrix as a
function of time and a smaller discontinuity of local observables between
quenches than in our previous approach. Moreover, by increasing the switch-on
time, the time between the first and last quench of the discretized pulse, the
long-time limit of observables systematically converges to its expected value
in the final state, i.e., the more adiabatic the switching, the more accurately
is the long-time limit recovered. The present formalism can be
straightforwardly extended to infinite switch-on times. We show that this
yields highly accurate results for the long-time limit of both thermodynamic
observables and spectral functions, and overcomes the significant errors within
the single quench formalism [Anders {\em et al.}, Phys. Rev. Lett. {\bf 95},
196801 (2005); Nghiem {\em et al.}, Phys. Rev. Lett. {\bf 119}, 156601 (2017)].
This improvement provides a first step towards an accurate description of
nonequilibrium steady states of quantum impurity systems, e.g., within the
scattering states NRG approach [Anders, Phys. Rev. Lett. {\bf 101}, 066804
(2008)].Comment: 15 pages and 10 figures; Additional figures and references added;
typos fixed; references fixe
Details of the mass--temperature relation for clusters of galaxies
We present results on the total mass and temperature determination using two
samples of clusters of galaxies. One sample is constructed with emphasis on the
completeness of the sample, while the advantage of the other is the use of the
temperature profiles, derived with ASCA. We obtain remarkably similar fits to
the M-T relation for both samples, with the normalization and the slope
significantly different from both prediction of self-similar collapse and
hydrodynamical simulations. We discuss the origin of these discrepancies and
also combine the X-ray mass with velocity dispersion measurements to provide a
comparison with high-resolution dark matter simulations. Finally, we discuss
the importance of a cluster formation epoch in the observed M-T relation.Comment: 12 pages, A&A 2001 in pres
Partitioning of energy in highly polydisperse granular gases
A highly polydisperse granular gas is modeled by a continuous distribution of
particle sizes, a, giving rise to a corresponding continuous temperature
profile, T(a), which we compute approximately, generalizing previous results
for binary or multicomponent mixtures. If the system is driven, it evolves
towards a stationary temperature profile, which is discussed for several
driving mechanisms in dependence on the variance of the size distribution. For
a uniform distribution of sizes, the stationary temperature profile is
nonuniform with either hot small particles (constant force driving) or hot
large particles (constant velocity or constant energy driving). Polydispersity
always gives rise to non-Gaussian velocity distributions. Depending on the
driving mechanism the tails can be either overpopulated or underpopulated as
compared to the molecular gas. The deviations are mainly due to small
particles. In the case of free cooling the decay rate depends continuously on
particle size, while all partial temperatures decay according to Haff's law.
The analytical results are supported by event driven simulations for a large,
but discrete number of species.Comment: 10 pages; 5 figure
High-field recovery of the undistorted triangular lattice in the frustrated metamagnet CuFeO2
Pulsed field magnetization experiments extend the typical metamagnetic
staircase of CuFeO2 up to 58 T to reveal an additional first order phase
transition at high field for both the parallel and perpendicular field
configuration. Virtually complete isotropic behavior is retrieved only above
this transition, indicating the high-field recovery of the undistorted
triangular lattice. A consistent phenomenological rationalization for the field
dependence and metamagnetism crossover of the system is provided, demonstrating
the importance of both spin-phonon coupling and a small field-dependent
easy-axis anisotropy in accurately describing the magnetization process of
CuFeO2.Comment: 4 pages, 4 figure
High efficiency single quantum well graded-index separate-confinement heterostructure lasers fabricated with MeV oxygen ion implantation
Single quantum well AlGaAs/GaAs graded-index separate-confinement heterostructure lasers have been fabricated using MeV oxygen ion implantation plus optimized subsequent thermal annealing. A high differential quantum efficiency of 85% has been obtained in a 360-µm-long and 10-µm-wide stripe geometry device. The results have also demonstrated that excellent electrical isolation (breakdown voltage of over 30 V) and low threshold currents (22 mA) can be obtained with MeV oxygen ion isolation. It is suggested that oxygen ion implantation induced selective carrier compensation and compositional disordering in the quantum well region as well as radiation-induced lattice disordering in AlxGa1–xAs/GaAs may be mostly responsible for the buried layer modification in this fabrication process
Metering gun for dispensing precisely measured charges of fluid
A cyclically operable fluid dispenser for use in dispensing precisely measured charges of potable water aboard spacecraft is described. The dispenser is characterized by (1) a sealed housing adapted to be held within a crewman's palm and coupled with a pressurized source of potable water; (2) a dispensing jet projected from the housing and configured to be received within a crewman's lips; (3) an expansible measuring chamber for measuring charges of drinking water received from the source; (4) and a dispenser actuator including a lever extended from the housing to be digitated for initiating operational cycles, whereby precisely measured charges of potable water selectively are delivered for drinking purposes in a weightless environment
Random Matrices and Chaos in Nuclear Spectra
We speak of chaos in quantum systems if the statistical properties of the
eigenvalue spectrum coincide with predictions of random-matrix theory. Chaos is
a typical feature of atomic nuclei and other self-bound Fermi systems. How can
the existence of chaos be reconciled with the known dynamical features of
spherical nuclei? Such nuclei are described by the shell model (a mean-field
theory) plus a residual interaction. We approach the question by using a
statistical approach (the two-body random ensemble): The matrix elements of the
residual interaction are taken to be random variables. We show that chaos is a
generic feature of the ensemble and display some of its properties, emphasizing
those which differ from standard random-matrix theory. In particular, we
display the existence of correlations among spectra carrying different quantum
numbers. These are subject to experimental verification.Comment: 17 pages, 20 figures, colloquium article, submitted to Reviews of
Modern Physic
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